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Recent Publications (2014 - 2017)

Open Access version of Articles

Journal articles  


Abbas M, Leyew BT, Khan SH A New f-Generalized Quasi Metric Space with Some Fixed Point Results and Applications. Filomat 31(11)(2017) 3157–3172

Abbas M, Rakocevic V, Leyew BT Common Fixed Points of (a-y)-Generalized Rational Multivalued Contractions in Dislocated Quasi b-Metric Spaces and Applications. Filomat 31(11)(2017) 3263–3284

Agbebaku DF and van der Walt JH The Order Completion Method: A differential-algebraic representation. Novi Sad Journal of Mathematics 1(2017), 17-46

Alolaiyana HA, Ali B, Abbas M Fixed point results of Edelstein-Suzuki type multivalued mappings on b-metric spaces with applications. J. Nonlinear Sci. Appl. 10(2017), 1201–1214

Anguelov R Duford CC Dumont Y Mathematical model for pest–insect control using mating disruption and trapping. Applied Mathematical Modelling 52(2017), 437–457

Appadu AR Performance of UPFD scheme under some different regimes of advection, diffusion and reaction. International Journal of Numerical Methods for Heat and Fluid Flow, 27(7)(2017) 1412-1429

Appadu R, Djoko JK, Gidey H and Lubuma JM Analysis of Multilevel Finite Volume Approximation of 2D Convective Cahn-Hilliard Equation. Japan Journal of Industrial and Applied Mathematics 34(2017), 253–304

Appadu AR, Chapwanya M, Jejeniwa OA Some optimised numerical schemes for the Korteweg-de Vries equation.  Progress in Computational Fluid Dynamics, 17(4)(2017),  250-266

Appadu AR, Lubuma JM-S, Mphephu N Computational study of three numerical methods for linear and non-linear advection-diffusion-reaction equations.  Progress in Computational Fluid Dynamics 17(2)(2017), 114-129

Arega N, Van den Berg JE Two-sided residuation in the set of topologizing filters on a ring. Communications in Algebra, 45(3)(2017) 992–1011

Banasiak J, Seuneu Tchamga MS Delayed stability switches in singularly perturbed predator-prey models. Nonlinear Analysis: Real World Applications, 35(2017), 312–335

Banasiak J, Falkiewicz A A singular limit for an age structured mutation problem. Mathematical Biosciences and Engineering, 14(1)(2017), 17-30

Bartlett CE, Biggs R, Remsing CC. Control systems on nilpotent Lie groups of dimension ≤ 4: equivalence and classification. Differential Geom. Appl. 54(2017),   282-297

Bezhanishvili G, Moraschini T Raftery JG  Epimorphisms in varieties of residuated structures. Journal of Algebra 492(2017), 185-211

Biggs R, Falcone G. A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms. Differential Geom. Appl. 54(2017), 251-263

Broere I and Pilsniak M The distinguishing index of the Cartesian product of countable graphs. Ars Mathematica Contemporanea 13(2017), 15-21

Broere I, Semanišin G Some bounds on the generalised total chromatic number of degenerate graphs. Information Processing Letters 122 (2017), 30–33

De Jongh PJ, Larney J, Maré E, van Vuuren GW, Verster T A proposed best practice model validation framework for banks. South African Journal of Economic and Management Sciences 20(1)(2017) 1-15

Djoko JK Convergence analysis of the nonconforming finite element discretization of Stokes and Navier-Stokes equations with nonlinear slip boundary conditions. Numerical functional analysis and optimization 38(8)(2017), 951-987

Driver K, Jooste AS Interlacing of zeros of Quasi-orthogonal Meixner polynomials. Quaestiones Mathematicae 40(4)(2017) 477–490

Flint E, Maré E Fractional Black–Scholes option pricing, volatility calibration and implied Hurst exponents in South African context. South African Journal of Economic and Management Sciences 20(1)(2017) 1-11

Garba SM, Safi MA, Usaini S Mathematical model for assesing the impact of vaccination and treatment on measles transmission dynamics. Mathematical Methods in the Applied Sciences (2017) 1–18

Goodwin SM, Le T, Magaard K The generic character table of a Sylow p-subgroup of a finite Chevalley group of type D4. Communications in Algebra, 45(12)(2017) 5158–5179

Jooste AS, Njionou Sadjang P, Koepf W Inner bounds for the extreme zeros of 3F2 hypergeometric polynomials. Integral Transforms and Special Functions 28(5)(2017), 361-373

Kikianty E Sinnamon G Angular equivalence of normed spaces. J. Math. Anal. Appl. 454(2)(2017) 942-960

Labushagne M, Stapelberg B, van Rensburg NFJ Error estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second order hyperbolic equation. Numerical Functional Analysis and Optimization 38(4)(2017), 466-485

Lee WS, Sauer N Intertwined evolution operators. Semigroup Forum, 94(2017), 204–228

Maré E and Flint E Fractional Black-Scholes option pricing, volatility calibration and implied Hurst exponents in a South African context. SAJEMS 20(1)(2017), 1-14

Maré E, Mba JC, Pindza E Discrete singular convolution for the generalized variable-coefficient Korteweg-de Vries equation. Quaestiones Mathematicae 40(2)(2017), 225–244

Maré E Volatility and the Skunk. ACTSA (2017) 21-23

Ntumba PP, Yizengaw BY On filtration of Clifford A-algebras and localization of A-modules. Quaestiones Mathematicae 40(2)(2017), 177-195

Pindza E and Maré E Discrete singular convolution mapping methods for solving singular boundary value and boundary layer problems. Eur. Phys. J. Plus 132 (2017), 141

Razafimandimby PA Grade-two fluids on non-smooth domain driven by multiplicative noise: Existence, uniqueness and regularity. Journal of Differential Equations 263(2017), 3027–3089

Sanderson LB, Maré E, De Jongh DCJ Banking regulations: An examination of the failure of African Bank using Merton’s structural model. South African Journal of Science 113(7/8)(2017) 1-7 

Terefe YA, Lubuma JM-S Global stability for the continuous and discrete SIS-diffusion epidemiological models. Quaestiones Mathematicae 40(2)(2017), 161–176

Tsanou B Bowonga S Lubuma JMS Global stability of a two-patch cholera model with fast and slow transmissions. Mathematics and Computers in Simulation 133(2017), 142–164

Usaini S, Lloyd A, Anguelov R, Garba SM Dynamical behavior of an epidemiological model with a demographic Allee effect. Mathematics and Computers in Simulation 133(2017), 311–325

Van der Hoff Q, Harding AF Cause-effect Analysis: Improvement of a First year Engineering Students’ Calculus Teaching Model. International Journal of Mathematical Education in Science and Technology 48(1)(2017), 16-30

Van der Hoff Q Interdisciplinary education – a predator–prey model for developing a skill set in mathematics, biology and technology. International Journal of Mathematical Education in Science and Technology 48(6)(2017), 928-938 

Van der Walt JH Vector-valued interval functions and the Dedekind completion of C(X,E),  Positivity 21(2017), 1143–1159

Wiggins HZ, Harding AF, Engelbrecht JC Sibling curves of quadratic polynomials. Quaestiones Mathematicae 40(2)(2017), 215-223

Youbi F, Pindza E, Mare E A Comparative Study of Spectral Methods for Valuing Financial Options. Applied Mathematics & Information Sciences An International Journal 11(3)(2017), 1-12


Aderogba AA, Chapwanya M, Djoko JK, Lubuma JM-S  Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation.  International Journal of Computer Mathematics 93(11)(2016), 1833–1844

Akimenko V and Anguelov R Steady states and outbreaks of two-phase nonlinear age-structured model of population dynamics with discrete time delay. Journal of Biological Dynamics 11(1)(2016), 75–101

Ali ZI, Sango M Weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation of generalized polytropic filtration.  Russian Journal of Mathematical Physics 23(3)(2016), 283–308

Ali ZI, Abbas M, Costache S Fixed fuzzy point theorems for fuzzy mappings on complete metric spaces. U.P.B. Sci. Bull. Series A 78(3)(2016), 31-42

Ali ZI, Sango M A note on weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation of generalized polytropic filtration. International Journal of Modern Physics B 30(28&29)(2016), 1640002-1640013

Appadu AR, Djoko JK, Gidey HH  A computational study of three numerical methods for some advection-diffusion problems.  Applied Mathematics and Computation 272(3)(2016), 629-647

Banasiak J Explicit formulae for limit periodic flows on networks. Linear Algebra and Applications, 500(2016), 30-42

Banasiak J Kinetic models - mathematical models of everything? Comment on "Collective learning modeling based on the kinetic theory of active particles" by D. Burini et al. Physics of Life Reviews, 16(2016), 40-41

Banda MK, Häck AS and HertyM Numerical Discretization of Coupling Conditions by High-Order Schemes. J Sci Comput 69(2016), 122–145

Bothma K, Engelbrecht JC, Harding AF Rethinking the feedback format in formative assessment of undergraduate mathematical competencies. Far East Journal of Mathematical Education 16(2016), 347-370

Broere I, Heidema J, Matsoha MDV  The quest for characterization of hom-properties of finite character. Discussiones Mathematicae Graph Theory, 36(2016), 479–500

Broere I and Borowiecki M Hamiltonicity and generalised total colourings of planar graphs.  Discussiones Mathematicae Graph Theory, 36(2016), 243–257

Cerone P, Dragomir SS, Kikianty E Ostrowski and Jensen type inequalities for higher derivatives with applications. Journal of Inequalities and Special Functions7(1)(2016), 61-77

Chin PWM Rate of convergence for a fully-discrete reliable scheme for a system of nonlinear time-dependent Joule heating equation. Applied Mathematics & Information Sciences 10(3)(2016), 997-1007

Chin PWM Error estimates on stable and reliable numerical scheme for a fully discrete time-dependent Allen Cahn equation. Applied Mathematics & Information Sciences 10(4)(2016), 1393-1402

Djoko JK, Koko J Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions. Computer Methods in Applied Mechanics and Engineering 305(2016), 936-958

Djoko JK, Lubuma JM-S Analysis of a time implicit scheme for the Oseen model driven by nonlinear slip boundary conditions. Journal of Mathematical Fluid mechanics 18(2016), 717–730

Djoko JK, Lubuma JM-S and Mbehou M On the numerical solution of the stationary power-law Stokes equations: A penalty finite element approach. Journal of Scientific Computing 69(2016),1058–1082

Driver K, Jordaan K Symmetry, Zeros of Quasi-Orthogonal Jacobi Polynomials. Symmetry, Integrability and Geometry: Methods and Applications SIGMA 12(2016), 042, 13 pages

Engelbrecht I, Robertson M, Stoltz M, Joubert JW Reconsidering environmental diversity (ED) as a biodiversity surrogacy strategy. Biological Conservation, 197(2016), 171–179

Gochhayat P, Jordaan K, Raghavendar K, Swaminathan A  Interlacing properties and bounds for zeros of 2Φ1 hypergeometric and little q-Jacobi polynomials.  Ramanujan Journal, 40(2016), 45–62

Hussaini N, Lubuma JM-S, Barley K, Gumel AB Mathematical analysis of a model for AVL–HIV co-endemicity Mathematical Biosciences 271 (2016), 80–95

Johnston SJ, Jooste A, Jordaan K Quasi-orthogonality of some hypergeometric polynomials. Integral Transforms and Special Functions 27(2016)(2), 111-125

Maepa SM, Mewomo OT On character amenability of semigroup algebras. Quaestiones Mathematicae 39(3)(2016), 307-318

Marais MS, Steenpass A The classification of real singularities using SINGULAR. Part II: The structure of the equivalence classes of the unimodal singularities. Journal of Symbolic Computation 74(2016), 346-366

Maré E Safe spending rates for South African retirees. South African Journal of Science 112(2016), 1-4 Art.#a0138, 4 pages.

Mohammed M, Sango M Homogenization of Neumann problem for hyperbolic stochastic partial differential equations in perforated domains. Asymptotic Analysis 97(3-4)(2016), 301-327 

Mohammed M, Sango M A Tartar approach to periodic homogenization of linear hyperbolic stochastic partial differential equation. International Journal of Modern Physics B 30(28&29)(2016), 1640020-1640029

Pindza E, Owolabi KM Fourier spectral method for higher order space fractional reaction–diffusion equations. Commun Nonlinear Sci Numer Simulat 40(2016), 112–128

Raftery JG and Swirydowicz K Structural completeness in relevance logics. Studia Logica 104(3)(2016), 381-387

Raftery JG  Admissible rules and the Leibniz hierarchy.  Notre Dame Journal of Formal Logic 57(4)(2016), 569-606

Sango M, Tegegn TA Harmonic analysis tools for stochastic magnetohydrodynamics equations in Besov spaces. Int. J. Mod. Phys. B 30(28&29)(2016), 1640025-1640038

Tenkam HM, Shatalov M, Fedotov I, Anguelov R  Mathematical models for the propagation of stress wave in elastic rods: Exact solution and numerical simulation. Advances in Applied Mathematics and Mechanics, 8(2)(2016), 257-270

Tenkam HM, Anguelov R, Fedotov I, M Shatalov Exact solution of the Mindlin-Herrmann model for longitudinal vibration of an isotropic rod. Journal of Engineering Mathematics 99(2016), 185–201

Terefe YA, Chapwanya M, Lubuma JM-S Analysis and dynamically consistent nonstandard discretization for a rabies model in humans and dogs. RACSAM 110(2016), 783–798

Tsanou B, Lubuma JM-S Moremedi GM, Shava RK A Simple Mathematical Model for Ebola in Africa. Journal of Biological Dynamics 11(2016), 42–74 

Van der Hoff Q and Fay TH A Predator-Prey Model with Predator Population Saturation. Mathematics and Statistics 4(4)(2016), 101-107

Van der Hoff Q Interdisciplinary education – a predator–prey model for developing a skill set in mathematics, biology and technology. International Journal of Mathematical Education in Science and Technology 48(6)(2017), 928-938 

Van der Walt JH  A closed graph theorem for order bounded operators. Quaestiones Mathematicae 39(2)(2016),167-178

Yohana EM and Banda MK High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws J. Numer. Math. 24(1)(2016) 45–71


Abbas M, Alfuraidan MR, Khan AR, Nazir T  Fixed point results for a set-contractions on metric spaces with a directed graph.  Fixed Point Theory and Applications, (2015), 2015:14, (9 pages)

Abbas M, Ali B, Butt AR Existence and data dependence of the fixed points of generalized contraction mappings with applications. 109(2015), 603-621

Abbas M, Illic D and Nazir T Iterative approximation of fixed points of generalized weak Presić type k-step iterative method for a class of operators. Filomat, 29(4)(2015), 713-724

Abbas M, Murtaza G and Romaguera S Soft contraction theorem. Journal of Nonlinear and Convex Analysis, 16(3)(2015), 423-435

Khan AR, Abbas M, Shehu Y and Ansari Q A general convergence theorem for multiple set split feasibility problem in Hilbert space. Carpathian Journal of Mathematics, 31(3)(2015), 349-357

Abbas M, Ali B and Suleiman I Common Fixed Points of Locally Contractive Mappings In Multiplicative Metric Spaces with Application. International Journal of Mathematics and Mathematical Sciences, (2015), Article ID 218683, 7 pages

Abbas M, Nazir T and Gopal D Common fixed point results for generalized cyclic contraction mappings. Afrika Matematika, (26)(2015), 265-273

Abbas M, Rajic VC, Nazir T and Radenovic S Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces. Afrika Matematika, (26)(2015), 17-30

Shukla S and Abbas M Fixed points of ordered fuzzy cyclic contractions without monotone property. Asia Pacific Journal of Mathematics, 2(1)(2015), 9-19

Abbas M and Ali B Fixed fuzzy points of generalized Geraghty type fuzzy mappings on complete metric spaces. Iranian Journal of Fuzzy systems, 12(4)(2015), 133-146

Abbas M, De la Sen M and Nazir T Common fixed points of generalized rational type co-cyclic mappings in multiplicative metric spaces. Discrete Dynamics in Nature and Society, (2015), Article ID 532725, 10 pages

Abbas M, Ali B, Romaguera S Coincidence points of generalized multivalued (f, L)-almost F-contraction with applications. Journal Nonlinear Sciences and Applications 8(2015), 919-934

Abbas M, Ali B and Vetro C Fixed points of fuzzy mappings in Hausdorff fuzzy metric spaces with applications. Iranian Journal of Fuzzy systems, 12(3)(2015), 31-45

Abbas M, Ali B, Suleiman YI  Generalized coupled common fixed point results in partially ordered A-metric spaces.  Fixed Point Theory and Applications, (2015), 2015:64, (24 pages)

Aderogba AA, Chapwanya M An explicit nonstandard finite difference scheme for the Allen-Cahn equation. Journal of Difference Equations and Applications 21(10)(2015), 875–886

Ali B and Abbas M Fixed point theorem for multivalued contractive mappings in fuzzy metric spaces. American Journal of Applied Mathematics, 3(3-1)(2015), 41-45

Alshahrani M, Abbas M, Ansari QH and Homidan SA Iterative schemes for generalized nonlinear complementarity problems on isotone projection cones. Journal of convex and nonlinear Analysis, 16(2015), 1681-1697

Anguelov R, Butler PW, Rohwer CH, Wild M Calculating the output distribution of stack filters that are erosion-dilation cascades, in particular LULU –filters. Quaestiones Mathematicae 38(2015), 463-482

Appadu AR, Neossi Nguetchue S  The technique of MIEELDLD as a measure of the shock-capturing property of numerical methods of hyperbolic conservation laws.  Progress in Computational Fluid Dynamics, 15(4)(2015), 247-264

Banda MK, Herty M, Medard J, Ngnotchouyec T On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections. Journal of Computational and Applied Mathematics 276(2015), 81–97

Bessenrodt C, Nguyen HN, Olsson JB, Tong-Viet HP  Complex group algebras of the double covers of the symmetric and alternating groups.  Algebra and Number Theory, 9(3)(2015), 601-628

Broere I, Pilsniak M  The Distinguishing index of finite graphs.  Electronic Journal of Combinatorics, 22(1)(2015), P1.78

Caluyna Pedro J, Banda MK Sibanda P Implicit-explicit higher-order time integration schemes for computations of structural dynamics with fluid-structure interaction. Applications and Applied Mathematics 10(2015), 287 – 311

Chapwanya M, Misra NN  A soft condensed matter approach towards mathematical modelling of mass transport and swelling in food grains.  Journal of Food Engineering, 145(2015), 37-44

Chapwanya M, Misra NN  A mathematical model of meat cooking based on polymer-solvent analogy. Applied Mathematical Modelling,  39(2015), 4033 - 4043

Clarkson PA, Jordaan K and Kelil A A Generalized Freud Weight. Studies in Applied Mathematics 136(2015), 288-320

Conradie JJ, Mabula MD  Convergence and completeness in asymmetrically normed sequence lattices.  Quaestiones Mathematicae, 38(1)(2015), 73-81

Deugoue G, Sango M  Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise.  Stochastics and Dynamics, 15(2)(2015), Article ID 150011 (38 pages)

Djoko Kamdem J, Mbehou M  Finite element analysis of the stationary power-law Stokes equations driven by friction boundary conditions. Journal of Numerical Mathematics,  23(1)(2015),  2140

Galatos N, Raftery JG  Idempotent residuated structures: some category equivalences and their applications. Transactions of the American Mathematical Society, 367(5)(2015), 3189-3223

Garba SM, Gumel A, Hassan AS, Lubuma JM-S  Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation.  Applied Mathematics and Computation, 258(2015), 388-403

Gopal D, Vetro C, Abbas M, Patel DK  Some coincidence and periodic points results in a metric space endowed with a graph and applications.  Banach Journal of Mathematical Analysis, 9(3)(2015), 128-139

Harding A., Engelbrecht JC  Personal learning network clusters: A comparison between mathematics and computer science students. Educational Technology & Society, (18)(3)(2015), 173-184

Illic D, Abbas M and Nazir T Iterative approximation of fixed points of Presić operators on partial metric spaces. Mathematische Nachrichten, DOI 10.1002/mana.201400235 (2015), 1-13

Johnson SJ, Jordaan K  Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials. Applied Numerical Mathematics, 90(2015), 1-8

Kellerman R  First-order aspects of tree paths.  Logic Journal of the IGPL, 23(4)(2015), 688-704

Kotzé A, Oosthuizen R, Pindza E  Implied and local volatility surfaces for South African index and foreign exchange options.  Journal of Risk and Financial Management, (8)(2015), 43-82

Kufakunesu R  Optimal investment models with stochastic volatility: The time inhomogeneous case.  Quaestiones Mathematicae, 38(2)(2015), 237-255

Kufakunesu R, Guambe C  A note on optimal investment-consumption-insurance in a Levy market. Insurance Mathematics and Economics, 65(2015), 30–36

Lee WS, Sauer N An algebraic approach to implicit evolution equations. Bulletin of the Polish Academy of Sciences Mathematics, 63(2015), 33-40

Lubuma JM-S· Terefe YA A nonstandard Volterra difference equation for the SIS epidemiological model, RACSAM 109(2015), 597–602

Mabitsela L, Maré E, Kufakunesu R  Quantification of VaR: Note on VaR valuation in the South African equity market.  Journal of Risk and Financial Management, (8)(2015), 103-126

Marais MS, Steenpass A  The classification of real singularities using SINGULAR. Part I: Splitting lemma and simple singularities.  Journal of Symbolic Computation, 68(1)(2015), 61-71

Marais MS, Ren Y Mora's holy grail: Algorithms for computing in localizations at prime ideals. International Journal of Algebra and Computation 25(7)(2015), 1125–1143

Mewomo OT, Maepa SM, Uwala MO  On character and approximate character amenability of various Segal algebras. To appear in Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, 31(2015), 273-283

Nashine HK, Abbas M, Frigon M and VetroC Recent Developments on Fixed Point Theory in Function Spaces and Applications to Control and Optimization Problems. Journal of Function spaces, (2015), Article ID 512564, 2 pages

Ngugi AM, Maré E, Kufakunesu R Pricing variable annuity guarantees in South Africa under a variance-gamma model. SA Actuarial Journal, 15(2015), 131-70

Okeke GA and Abbas M Convergence and almost sure T- stability for a random iterative sequence generated by a generalized random operator. Journal of Inequality and Applications, (2015)146

Potgieter M, Harding A, Kritzinger Q, Somo C, Engelbrecht J  Reflections of science students on their experience of an academic development programme in South Africa.  South African Journal of Higher Education, 29(1)(2015), 108-131

Rahimi H, Abbas M and Rad GS Common fixed point results for four mappings on ordered vector metric spaces. FILOMAT, 29(4)(2015), 865-878

Razafimandimby PA, Sango M  Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations. Zeitschrift für Angewandte Mathematik und Physik 66(2015), 2197–2235

Rosinger EE  Can There Be a General Nonlinear PDE Theory for Existence of Solutions?  Reviews in Theoretical Science, (3)(2015), 1–10

Roux A, Van der Merwe A, Van Rensburg NFJ  Elastic waves in a Timoshenko beam with boundary damping. Wave Motion 57(2015) 194–206

Saleem N, Ali B, Abbas, M, Raza Z  Fixed pointsof Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications.  Fixed Point Theory and Applications, (2015), 2015:36, (18 pages)

Sango M, Mohammed M  Homogenization of linear hyperbolic stochastic partial differential equation with rapidly oscillating coefficients: The two scale convergence method.  Asymptotic Analysis, 91(2015), 341-371

Shukla S and Abbas M Fixed point results of cyclic contractions on product spaces. Carpathian Journal of Mathematics, 31(1)(2015), 119-126

Usaini S, Anguelov R, Garba SM Dynamics of SI Epidemic with a Demographic Allee Effect. Theoretical Population Biology, 106(2015), 1–13

Winstanley HF, Chapwanya M, Fowler AC, O'Brien SBG A 2D channel-clogging biofilm model. Journal of Mathematical Biology 71(2015), 647-668


Abbas M, Ali S, Kumam P  Common fixed points in partially ordered modular function spaces.  Journal of Inequalities and Applications, (2014), 2014:78, 12 pages

Abbas M, Khan SH, Postolache M  Existence and approximation results for SKC mappings in CAT (0) spaces.  Journal of Inequalities and Applications, (2014), 2014:212, 10 pages

Abbas M, Ali B, Romaguera S  Generalized contraction and invariant approximation results on non-convex subsets of normed spaces.  Abstract and Applied Analysis, (2014), Article ID 391952, 5 pages

Abbas M, Khalid A, Romaguera S  Fixed points of fuzzy soft mappings.  Applied Mathematics & Information Sciences, 8(5)(2014), 2141-2147

Abbas M, Ali B, Petrusel G  Fixed points of set-valued contractions in partial metric spaces endowed with a graph, Carpathian Journal of Mathematics, 30(2)(2014), 129 - 137

Abbas M, Nazir T  A new faster iteration process applied to constrained minimization and feasibility problems.  Mathematicki Vesnik, 66(2)(2014), 223-234

Abbas M, Zulfaqar I, Radenovic S  Common fixed point of (ψ, β)-generalized contractive mappings in partially ordered metric spaces.  Chinese Journal of Mathematics, (2014), Article ID 379049, 9 pages

Abel M, Ntumba PP  Universal problem for Kähler differentials in A-modules: Non-commutative and commutative cases.  Indian Journal of Pure and Applied Mathematics, 45(4)(2014), 497-511

Aderogba AA, Chapwanya, M, Djoko Kamdem J  On a fractional step-splitting scheme for the Cahn-Hilliard equation.  Engineering Computations, 31(7)(2014), 1151-1168

Aghajani A, Abbas M, Roshan JR, Common fixed point of generalized weak contractive mappings in partially ordered B-metric spaces.  Mathematica. Slovaca, 64(4)(2014), 941-960

Anguelov R, Dumont Y, Lubuma JM-S, Shillor M  Dynamically consistent nonstandard finite difference schemes for epidemiological models.  Journal of Computational and Applied Mathematics, 255(2014), 161-182

Anguelov R, Garba SM, Usaini S  Backward bifurication analysis of epidemic model with partial immunity.  Computers and Mathematics with Applications, 68(2014), 931-940

Appadu R  Optimized low dispersion and low dissipation Runge-Kutta algorithms in computational aeroacoustics.  Applied Mathematics & Information Sciences, 8(1)(2014), 57-68

Appadu AR  Applications and spectral analysis of some optimized high order low dispersion and low dissipation schemes.  Applied Mathematics & Information Sciences, 8(3)(2014), 993-1001

Arshad M, Azam A, Abbas M, Shoaib A  Fixed point results of dominated mappings on a closed ball in ordered partial metric spaces without continuity.  University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 76(2)(2014), 123-134)

Basson M, De Villiers M, Van Rensburg NFJ  Solvability of a model for the vibration of a beam with a damping tip body.  Journal of Applied Mathematics, (2014), Article ID 298092, 7 pages (electronic article)

Broere I, Heidema J  Induced-hereditary graph properties, homogeneity, extensibility and universality.  Journal of Combinatorial Mathematics and Combinatorial Computing, 85(2013), 353-363

Broere I, Vetrik T  Universal graphs for two graph properties.  Ars Combinatoria, CXVI(2014), 257-262

Chandok S, Khan MS, Abbas M  Common fixed-point theorems for nonlinear weakly contractive mappings.  Ukranian Mathematical Journal, 66(4)(2014), 531-537

Chapwanya M, Lubuma JM-S, Mickens RE  Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences.  Computers and Mathematics with Applications, 68(2014), 1071-1082

Clarkson P, Jordaan K  The relationship between semi-classical Laguerre polynomials and the fourth Painlevé equation.  Constructive Approximation, 39(1) (2014), 223-254

Deugoue G, Sango M  Convergence for a splitting-up scheme for the 3D stochastic Navier-Stokes-alpha model.  Stochastic Analysis and Applications, 32(2014), 253-279

Djoko Kamdem J  On the time approximation of the Stokes equations with nonlinear slip boundary condition.  International Journal of Numerical Analysis and Modeling, 11(1)(2014), 34-53

Djoko Kamdem J, Razafimandimby PA  Analysis of the Brinkman-Forchheimer equations with slip boundary conditions.  Applicable Analysis, 93(7)(2014), 1477-1494

Engelbrecht J, Harding A, Potgieter M  Evaluating the success of a science academic development programme at a research-intensive university.  African Journal of Research in Mathematics, Science and Technology Education (AJRMSTE), 18(3)(2014), 287–298

Fowler AC, Chapwanya M  The instability theory for the formation of ribbed moraine, drumlins and mega-scale glacial lineations.   Proceedings of the Royal A -Mathematical Physical and Engineering Sciences, 470(2171)(2014), 20140185

Garba SM, Gumel AB, Hussaini N  Mathematical analysis of an age-structured vaccination model for measles.  Journal of the Nigerian Mathematical Society (JNMS), 33(2014), 41-76

García-Pacheco FJ, Puglisi D, Van Zyl AJ  Some more applications of the Hahn-Banach Theorem.  Journal of Convex Analysis, 21(1)(2014), 179-188

Gopal D, Abbas M, Vetro C  Some new fixed point theorems in Menger PM- spaces with application to Volterra type integral equations.  Applied Mathematics and Computation, 232(2014), 955-967

Grobler TL, Nunhokee CD, Smirnov OM, Van Zyl AJ, De Bruyn AG  Calibration artefacts in radio interferometry. I. Ghost sources in Westerbork Synthesis Radio Telescope data.  Monthly Notices of the Royal Astronomical Society, 439(4)(2014), 4030-4047

Hassan AS, Garba SM, Gumel A, Lubuma JM-S  Dynamics of mycobacterium and bovine tuberculosis in a human-buffalo population.  Computational and Mathematical Methods in Medicine, 2014, Article ID 912306, 20 pages 

Holdsworth C, Maré E  A note on a framework to assess the required equity risk premium using cumulative prospect theory.  Theoretical Economics Letters, (4)(2014), 89-90

Hussain N, Abbas M, Azam A, Ahmad J  Coupled coincidence point results for a generalized compatible pair with applications.  Fixed Point Theory and Applications, 2014:62 (2014), 21 pages

Jooste A, Jordaan K  Bounds for zeros of Meixner and Kravchuk polynomials.  LMS Journal of Computation and Mathematics, 17(1)(2014), 47-57

Jordaan K, Wang H, Zhou J  Monotonicity of zeros of polynomials orthogonal with respect to an even weight function.  Integral Transforms and Special Functions, 25(9)(2014), 721-729 

Jordaan K, Toókos F  Orthogonality and asymptotics of Pseudo-Jacobi polynomials for non-classical parameters.  Journal of Approximation Theory, 178(2014), 1-12

Khan AR, Abbas M, Nazir T, Ionescu C  Fixed points of multivalued contractive mappings in partial metric spaces, Abstract and Applied Analysis, (2014), Article ID 230708, 9 pages

Khan SH, Abbas M, Ali S  Fixed points of multivalued quasi-nonexpanisve mappings using a faster iterative process.  Acta Mathematica Scinica, 30(7)(2014), 1231-1241

Khan SH, Abbas M, Nazir T  Fixed point results for generalized Chatterjea t ype contractive conditions in partially ordered G- metric spaces. The Scientific World Journal, (2014), Article ID 341751, 7 pages

Khan SH, Abbas M  Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces.  Fixed Point Theory and Applications, (2014), 2014:181, 11 pages

Khan SH, Abbas M  Approximation of fixed point of multivalued p-nonexpansive mappings in modular function spaces.  Fixed Point Theory and Applications, (2014), 2014: 34, 9 pages

Khuzwayo B, Maré E  Aspects of volatility targeting for South African equity investors.  South African Journal for Economic and Management Sciences (SAJEMS NS), 17(5)(2014), 691-699

Kutbi MA, Ahmad J, Abbas M, Arshad M  Tripled coincidence and common fixed point results for two pairs of hybrid mappings, Abstract and Applied Analysis, (2014), Article ID 803729, 11 pages

Le Roux C  On flows of viscoelastic fluids of Oldroyd type with wall slip.  Journal of Mathematical Fluid Mechanics, 16(2014), 335-350

Maré E  Volatility – Ubiquitous, yet evasive.  The South African Treasurer: Special issue on Risk –Transforming Treasury (TMI Special report), 2014, 31-34

Mewomo OT, Maepa SM On character amenability of Beurling and second dual algebras.  Acta Universitatis Apulensis, 38(2014), 67-80

Mutangadura S  Convergence of Ishikawa iterations on noncompact sets.  Quaestiones Mathematicae, 37(2014), 191-198

Nazir T, Abbas M  Common fixed points of two pairs of mappings satisfying E.A- property in partial metric spaces.  Journal of Inequality and Applications, (2014), 2014:237, 12 pages

Nteumagné BF, Pindza E, Maré E  Applying the Barycentric Jacobi Spectral Method to price options with transaction costs in a fractional Black-Scholes framework.   Journal of Mathematical Finance, (4)(2014), 35-46

Ntumba PP  On the group sheaf of A-symplectomorphisms.  Mathematica Slovaca, 64(4)(2014), 843-858

Ntumba PP  Reflexivity of orthogonality in A-modules.  Quaestiones Mathematicae, 37(2014), 231-47

Ntumba PP, Yizengaw BY  On the commutativity of the Clifford and “extension of scalars” functors.  Topology and its Applications, 168(2014), 159-179

Öztürk M, Abbas M, Girgin E  Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph.  Fixed Point Theory and Applications, (2014), 2014: 220, 17 pages

Pindza E, Maré E  Sinc collocation method for solving the Benjamin-Ono equation. Journal of Computational Methods in Physics, (2014), ID 392962, 8 pages

Pindza E, Maré E  Solving the generalised regularised long wave equation using a distributed approximating functional method.  International Journal of Computational Mathematics, 2014 Article ID 178024, 12 pages

Rahim H, Vetro C, Abbas M, Rad GS  Tripled fixed point results for T-contractions on abstract metric spaces.  International Journal of Analysis and Applications, 6(2)((2014), 132-138

Rosinger EE  The Irrelevance of Bell Inequalities in Physics: Comments on the DRHM Paper, Quantum Matter, (3)(6)(2014), 499-504

Sango M, Tadmon C  On global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinates.  Rendiconti del Seminario Matematica della Universitá di Padova, 131(2014), DOI 10.4171/RSMUP/131-10

Sango M  Homogenization of stochastic semilinear parabolic equations with non Lipschitz forcings in domains with fine grained boundaries.  Communications in Mathematical Sciences, 12(2)(2014), 343-380

Shukla S, Abbas M  Fixed point results in fuzzy metric-like spaces.  Iranian Journal of Fuzzy Systems, 11(5)(2014), 81-92

Tadmon C  On the constraints problem for the Einstein-Yang-Mills-Higgs system.  Fixed Point Theory and Applications, 14(2013), 419-456

Thackeray HR, Van den Berg JE  Strong primeness in matrix rings.   Journal of Algebra, 420(2014), 509-527

Tsanwani A, Harding AF, Engelbrecht JC, Maree K  Perceptions of teachers and learners about factors that facilitate learners’ performance in mathematics in South Africa.  African Journal of Research in Mathematics, Science and Technology Education (AJRMSTE), 18(1)(2014), 40-51

Van der Walt JH  Linear and quasi-linear spaces of set-valued maps.  Computers and Mathematics with Applications, 68(2014), 1006-1015

Books / Chapters in Books


R Biggs, CC Remsing, Invariant control systems on Lie groups. In: G. Falcone (ed.), Lie Groups, Differential Equations, and Geometry, Springer, Cham, pp.127-181. DOI: 10.1007/978-3-319-62181-4_7; IN: ISBN: 978-3-319-62180-7 (Print) 978-3-319-62181-4 (Online);; UNIPA Springer; Series info:


Pindza E, Patidar KC, Ngounda E Rational Spectral Collocation Method for Pricing American Vanilla and Butterfly Spread Options. Finite Difference Methods,Theory and Applications Lecture Notes in Computer Science (9045)(2015), 323-331


Lubuma J, Mureithi E and Terefe Y Nonstandard discretizations of the SIS epidemiological model with and without diffusion. In: A Gumel (editor), Mathematics of Discrete and Continuous Dynamical Systems, AMS Contemporary Mathematics book series. Volume in honour of Ronald E Mickens' 70th birthday, American Mathematical Society 2014, Vol 618, pp 113-132, ISBN: 978-0-8218-9862-8, 978-1-4704-1686-7

Conference Proceedings


Appadu AR, Djoko JK and Gidey HH Comparative study of some numerical methods to solve a 3-D advection-diffusion equation. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016), (Rhodes, Greece) AIP Conference Proceedings, 1863, 030009 (2017), doi: 10.1063/1.4992162.

Appadu AR Some novel finite difference schemes for 1-D Korteweg-de-Vries Burger’s equation.  Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016), (Rhodes, Greece) .  AIP Conference Proceedings, 1863, 030029 (2017), doi: 10.1063/1.4992182.


Aderogba AA, Chapwanya M, Jejeniwa OA Finite difference discretisation of a model for biological nerve conduction. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015), (Rhodes, Greece), American Institute of Physics - AIP-Conference Proceedings 1738, 030021 (2016); doi: 10.1063/1.4951777

Anguelov R, Markov S Hausdorff Continuous Interval Functions and Approximations M Nehmeier (Editor) Scientific Computing, Computer Arithmetic, and Validated Numerics 16th International Symposium, Würzburg, Germany, September 21–26, 2014 SCAN 2014, LNCS 9553, pp. 3–13, (2016) DOI: 10.1007/978-3-319-31769-4 1

Anguelov R and Mabula MD Asymmetric Metric: An Application to Dealing with Uncertainty. Editor, MD Todorov, Sofia. Application of Mathematics in Technical and Natural Sciences, 8th International Conference (AMiTaNS’16). AIP Conf. Proc. 1773, 050001-1–050001-7; doi: 10.1063/1.4964971

Appadu AR.  Analysis of the unconditionally positive finite difference scheme for advection-diffusion-reaction equations with different regimes. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015), (Rhodes, Greece) 1738, 030005 (2016); doi: 10.1063/1.4951761

Appadu AR.  Comparative study of three numerical schemes for contaminant transport with kinetic Langmuir sorpion. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015), (Rhodes, Greece) 1738, 030021 (2016); doi: 10.1063/1.4951777

Banda MK (with B Matebese, D Withey) - In Pattern Recognition Association of South Africa and Robotics and Mechatronics International Conference (PRASA-RobMech), 2016, Nov 30 – Dec 2 (1-6)

Banda MK (with B Matebese, D Withey), - In Robotics and Biomimetics (ROBIO), 2016 IEEE International Conference on 2016 Dec 3 – 7 (613-618)

Chin PWM A finite element technique for a system of fully-discrete time-dependent Joule heating equations. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015), (Rhodes, Greece) American Institute of Physics - AIP-Conference Proceedings 1738, 050008 (2016); 

Van der Merwe AF, Boehm J, Marais MS 3D printing dimension calibration shape: Clebsch cubic. Lecture Notes in Computer Science, Mathematical Software: ICMS 2016, p117-126.

Van der Walt JH The Riesz Space of Minimal Usco Maps. Ordered Structures and Applications Positivity VII (Zaanen Centennial Conference), Editors: de Jeu M, de Pagter B, van Gaans O, Veraar M. 22-26 July 2013, Leiden, the Netherlands. Birkauser (2016)481 - 502


Anguelov R, Tenkam HMD Global Stability of Equilibrium of Multi-species Model with Cross Diffusion. M.D. Todorov (editor) Application of Mathematics in Technical and Natural Sciences (Sofia), October 2015, AIP Conf. Proc. 1684, 010001-1–010001-1; doi: 10.1063/1.4934278

Appadu AR, Djoko JK, Gidey JHH  A Computational study of some numerical schemes for a test case with steep boundary layers.  In TE Simos, G and Ch Tsitouras (editors),  Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2014), (Rhodes, Greece), American Institute of Physics - AIP-Conference Proceedings 1648, 2015, 030016 (4 pages)

Chin PWM  Stabilized and reliable numerical scheme for a fully discrete Allen-Cahn equation on a smooth domain.  In TE Simos, G and Ch Tsitouras (editors),  Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2014), (Rhodes, Greece), American Institute of Physics - AIP-Conference Proceedings 1648, 2015, 05006 (4 pages)

Maré E  Market risk management in the context of engineering asset management.  In J Amadi-Echendu J Mathew and C Hoohlo (editors), 9th WCEAM Research Papers, Volume 1 Proceedings of the 2014 World Congress on Engineering Asset Management (Pretoria, South Africa), Springer - Lecture notes in Mechanical Engineering, 2015, 3-10, ISBN: 978-3-319-15535-7, ISSN: 2195-4356


Djoko JK, Mbehou M  Uzawa’s algorithm for Navier-Stokes equations driven by threshold slip boundary conditions.  Proceedings of the 9th South African Conference on Computational and Applied Mechanics (SACAM 2014), (Somerset West, South Africa), SACAM 010, ISBN: 978-0-620-58994-9

Aderogba AA, Chapwanya M, Djoko JK  Numerical approach for the solution of oscillatory ID Schrödinger equation.  Proceedings of the 9th South African Conference on Computational and Applied Mechanics (SACAM 2014), (Somerset West, South Africa), SACAM 070, ISBN: 978-0-620-58994-9

Diriba TA,  Debusho LK, Botai J Hassan AS  Analysis of extreme rainfall at East London, South Africa.  Proceedings of the 56th Annual Conference of the South African Statistical Association (SASA 2014), (Rhodes University, Grahamstown), 25-32, ISBN 978-1-86822-659-7



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