Difference Scheme on a Non-Uniform Mesh for Singularly Perturbed Reaction Diffusion Equations with Integral Boundary Condition

Abstract

In this paper we consider singularly perturbed reaction diffusion equations with integral boundary condition. A numerical method based on finite difference scheme on Shishkin mesh is presented. This method is proved to be almost second order convergent. An error estimate is derived in the discrete norm. Numerical results are presented, which validate the theoretical results.