A Robust Computational Method for System of Singularly Perturbed Differential Difference Equations with Discontinuous Convection Coefficients

Abstract

In this paper, a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve a weakly coupled system of singularly perturbed boundary value problem for second-order ordinary differential difference equations with discontinuous convection coefficients and source terms. An error estimate is derived by using the supremum norm and it is of almost first-order convergence. Numerical results are provided to illustrate the theoretical results.