In this paper we consider two difference schemes for numerical solving of a one--dimensional singularly perturbed boundary value problem. We proved an ε--uniform convergence for both difference schemes on a Shiskin mesh. Finally, we present four numerical experiments to confirm the theoretical results.
@article{arxiv.1712.01313,
title = {Uniformly Convergent Difference Scheme for a Semilinear Reaction-Diffusion Problem on Shishikin mesh},
author = {Samir Karasuljić and Enes Duvnjaković and Elvir Memić},
journal= {arXiv preprint arXiv:1712.01313},
year = {2017}
}