Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0028 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0028 | ||
| 245 | 0 | 0 | |a Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes |h [Elektronische Daten] |
| 520 | 3 | |a In this paper, parameter - uniform numerical methods for singularly perturbed ordinary differential equations containing two small parameters are studied.Parameter-explicit theoretical bounds on the derivatives of the solutions are derived. A numerical algorithm based on an upwind finite difference operator and an appropriate piecewise uniform mesh is constructed. Parameter-uniform error bounds for the numerical approximations are established. Numerical results are given to illustrate the parameter-uniform convergence of numerical approximations. | |
| 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 two parameter |2 nationallicence | |
| 690 | 7 | |a reaction-convection-diffusion |2 nationallicence | |
| 690 | 7 | |a piecewise-uniform mesh |2 nationallicence | |
| 700 | 1 | |a O' Riordan |D Eugene |u School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland. | |
| 700 | 1 | |a Pickett |D Maria L. |u School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland. | |
| 700 | 1 | |a Shishkin |D Georgii I. |u Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., 620219 Ekaterinburg, Russia. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/3(2003), 424-442 |x 1609-4840 |q 3:3<424 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0028 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0028 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a O' Riordan |D Eugene |u School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pickett |D Maria L. |u School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Shishkin |D Georgii I. |u Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., 620219 Ekaterinburg, Russia | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/3(2003), 424-442 |x 1609-4840 |q 3:3<424 |1 2003 |2 3 |o cmam | ||
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