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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

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Volume 3, Issue 3 (Jan 2003)


An Improved Error Estimate for a Numerical Method for a System of Coupled Singularly Perturbed Reaction-diffusion Equations

Torsten Linss
  • Institut für Numerische Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany.
Niall Madden
  • Department of Mathematics, National University of Ireland, Galway, Ireland.


We consider a central difference scheme for the numerical solution of a system of coupled reaction-diffusion equations. We show that the scheme is almost second-order convergent, uniformly in the perturbation parameter. We present the results of numerical experiments to confirm our theoretical results.

Keywords: reaction diffusion; systems of ode’s; singular perturbation; Shishkin mesh

About the article

Received: 2002-11-29

Revised: 2003-01-04

Accepted: 2003-03-21

Published in Print:

Citation Information: Computational Methods in Applied Mathematics, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.2478/cmam-2003-0027. Export Citation

© Institute of Mathematics, NAS of Belarus. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY-NC-ND 4.0)

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