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.
Valanarasu, T.; Priyadharshini, R. M.; Ramanujam, N.; and Tamilselvan, A.
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,
1, Article 12.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss1/12