A fitted second--order difference scheme on a modified Shishkin mesh for a semilinear singularly-perturbed boundary-value problem
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2022
- DOI:
- 10.48550/arXiv.2206.07667
- arXiv:
- arXiv:2206.07667
- Bibcode:
- 2022arXiv220607667K
- Keywords:
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- Mathematics - Numerical Analysis
- E-Print:
- arXiv admin note: substantial text overlap with arXiv:2009.06523