In the present paper we consider the numerical solving of a semilinear singular--perturbation reaction--diffusion boundary--value problem having boundary layers. A new difference scheme is constructed, the second order of convergence on a modified Shishkin mesh is shown. The numerical experiments are included in the paper, which confirm the theoretical results.
@article{arxiv.2206.07667,
title = {A fitted second--order difference scheme on a modified Shishkin mesh for a semilinear singularly-perturbed boundary-value problem},
author = {Samir Karasuljić and Irma Zenunović},
journal= {arXiv preprint arXiv:2206.07667},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2009.06523