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Dr AR (Rao) Appadu

Tel: +2712 420-3595
Fax: +2712 240-3893
Office: Mathematics 2-20
E-mail: [email protected]

Position: Senior Lecturer
Academic qualifications: BSc(Hons), PhD(University of Mauritius)
NRF rating: Y2
 
Open access version of Articles             

Fields of interest: Partial differential equations, Numerical Analysis, Computational Fluid Dynamics, Computational Aeroacoustics, Mathematical biology.

Research interests: Numerical solution of advection-diffusion-reaction pdes with applications in pollutant transport, atmospheric modelling and option pricing; Numerical solution for hyperbolic conservation laws; Numerical solution of dispersive pdes; Low dispersion low dissipation schemes, Non-standard finite difference methods; Error analysis

Publications over the past five years:

Journal Articles

Appadu AR  Numerical solution of the 1-D advection-diffusion equation using standard and nonstandard finite difference schemes.  Journal of Applied Mathematics, (2013), Article ID 734374, 14 pages electronic article

Appadu AR, Peer AAI  Optimized weighted essentially non-oscillatory third order schemes for hyperbolic conservation laws.  Journal of Applied Mathematics, (2013), Article ID 428681, 12 pages electronic article

Appadu AR, Gidey HH  Time splitting procedures for the numerical solution of the 2D Advection-Diffusion Equation.  Mathematical Problems in Engineering, (2013), Article ID 634657, 20 pages electronic article

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), 993-100

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

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

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

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 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 A, Djoko JK and Hagos G A priori analysis of multilevel finite volume approximation of 1D convective Cahn-Hilliard equation. Afrika Matematica 28(2017) 1193–1233 

Appadu AR, Djoko JK, Gidey HH. Performance of some finite difference methods for a 3D advection-diffusion equation. To appear in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM)

Conference Proceedings
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)

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), American Institute of Physics - AIP-Conference Proceedings 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), American Institute of Physics - AIP-Conference Proceedings1738, 030021 (2016); doi: 10.1063/1.4951777

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.

Appadu AR.  Atmospheric flow modelling using some finite difference methods. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM, 2017), (Thessaloniki, Greece). To appear in AIP Conference Proceedings

Appadu AR.  Comparison of some finite difference methods for the Black-Scholes equation. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM, 2017), (Thessaloniki, Greece). To appear in AIP Conference Proceedings

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