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A robust computational technique for a system of singularly perturbed reaction–diffusion equations

Open Access
|Jun 2014

Abstract

In this paper, a singularly perturbed system of reaction–diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be of second order convergent (up to a logarithmic factor). Numerical results are presented which are in agreement with the theoretical results.

DOI: https://doi.org/10.2478/amcs-2014-0029 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 387 - 395
Submitted on: Mar 7, 2013
Published on: Jun 26, 2014
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2014 Vinod Kumar, Rajesh K. Bawa, Arvind K. Lal, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.