An ε -Uniform Numerical Method for a System of Convection-Diffusion Equations with Discontinuous Convection Coefficients and Source Terms

Authors

T. Valanarasu, Bharathidasan University College
R. M. Priyadharshini, National Institute of Technology Karnataka
N. Ramanujam, Bharathidasan University
A. Tamilselvan, Bharathidasan University

Abstract

In this paper, a parameter-uniform numerical method is suggested to solve a system of singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms subject to the Dirichlet boundary condition. The second derivative of each equation is multiplied by a distinctly small parameter, which leads to an overlap and interacting interior layer. A numerical method based on a piecewise uniform Shishkin mesh is constructed. Numerical results are presented to support the theoretical results.

Recommended Citation

Valanarasu, T.; Priyadharshini, R. M.; Ramanujam, N.; and Tamilselvan, A. (2013). An ε -Uniform Numerical Method for a System of Convection-Diffusion Equations with Discontinuous Convection Coefficients and Source Terms, Applications and Applied Mathematics: An International Journal (AAM), Vol. 8, Iss. 1, Article 12.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss1/12