An Improved Error Estimate for a Numerical Method for a System of Coupled Singularly Perturbed Reaction-diffusion Equations
Gespeichert in:
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)
Online Zugang:
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0027 |2 doi |
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| 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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