caa a22 4500 378857703 CHVBK 20180305123339.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0027 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0027 An Improved Error Estimate for a Numerical Method for a System of Coupled Singularly Perturbed Reaction-diffusion Equations [Elektronische Daten] 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. 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. reaction diffusion nationallicence systems of ode's nationallicence singular perturbation nationallicence Shishkin mesh nationallicence Linss Torsten Institut für Numerische Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany. Madden Niall Department of Mathematics, National University of Ireland, Galway, Ireland. Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 417-423 1609-4840 3:3<417 2003 3 cmam https://doi.org/10.2478/cmam-2003-0027 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0027 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Linss Torsten Institut für Numerische Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany NATIONALLICENCE 700 1- Madden Niall Department of Mathematics, National University of Ireland, Galway, Ireland NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 417-423 1609-4840 3:3<417 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter