Uniformly Convergent Difference Scheme for a Semilinear Reaction-Diffusion Problem on Shishikin mesh

Abstract

In this paper we consider two difference schemes for numerical solving of a one--dimensional singularly perturbed boundary value problem. We proved an $\epsilon$--uniform convergence for both difference schemes on a Shiskin mesh. Finally, we present four numerical experiments to confirm the theoretical results.

14 pages, 8 figures

References in corpus (1)

• Construction of a global solution for the one dimensional singularly-perturbed boundary value problem