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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2003

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

  • Torsten Linss and Niall Madden

Abstract

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.

Received: 2002-11-29
Revised: 2003-01-04
Accepted: 2003-03-21
Published Online: 2003
Published in Print: 2003

© 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.

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