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

Vinod Kumar; Rajesh K. Bawa; Arvind K. Lal

doi:10.2478/amcs-2014-0029

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

International Journal of Applied Mathematics and Computer Science

Volume 24 (2014): Issue 2 (June 2014)

By: Vinod Kumar, Rajesh K. Bawa and Arvind K. Lal

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amcs-2014-0029 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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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

Keywords:

asymptotic expansion approximation,

backward difference operator,

trapezoidal method,

piecewise uniform Shishkin mesh

Related subjects:

Mathematics,

Applied mathematics

© 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.

Volume 24 (2014): Issue 2 (June 2014)