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

Verfasser / Beitragende:
Linss, Torsten; Madden, Niall
Ort, Verlag, Jahr:
2003
Enthalten in:
Computational Methods in Applied Mathematics, 3/3(2003), 417-423
Format:
Artikel (online)
ID: 378857703
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024 7 0 |a 10.2478/cmam-2003-0027  |2 doi 
035 |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0027 
245 0 3 |a An Improved Error Estimate for a Numerical Method for a System of Coupled Singularly Perturbed Reaction-diffusion Equations  |h [Elektronische Daten] 
520 3 |a 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. 
540 |a 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. 
690 7 |a reaction diffusion  |2 nationallicence 
690 7 |a systems of ode's  |2 nationallicence 
690 7 |a singular perturbation  |2 nationallicence 
690 7 |a Shishkin mesh  |2 nationallicence 
700 1 |a Linss  |D Torsten  |u Institut für Numerische Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany. 
700 1 |a Madden  |D Niall  |u Department of Mathematics, National University of Ireland, Galway, Ireland. 
773 0 |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 3/3(2003), 417-423  |x 1609-4840  |q 3:3<417  |1 2003  |2 3  |o cmam 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Linss  |D Torsten  |u Institut für Numerische Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Madden  |D Niall  |u Department of Mathematics, National University of Ireland, Galway, Ireland 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 3/3(2003), 417-423  |x 1609-4840  |q 3:3<417  |1 2003  |2 3  |o cmam 
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