A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0023 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0023 | ||
| 245 | 0 | 2 | |a A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point |h [Elektronische Daten] |
| 520 | 3 | |a A class of singularly perturbed time-dependent convection-diffusion problems with a boundary turning point is examined on a rectangular domain. The solution of problems from this class possesses a parabolic boundary layer in the neighborhood of one of the sides of the domain. Classical numerical methods on uniform meshes are known to be inadequate for problems with boundary layers. A numerical method consisting of a standard upwind finite difference operator on a fitted mesh is constructed. It is proved that the numerical approximations generated by this method converge uniformly with respect to the singular perturbation parameter. Numerical results are presented that verify computationally the theoretical result. | |
| 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 singular perturbation |2 nationallicence | |
| 690 | 7 | |a piecewise-uniform mesh |2 nationallicence | |
| 690 | 7 | |a boundary turning point |2 nationallicence | |
| 690 | 7 | |a finite-difference schemed |2 nationallicence | |
| 700 | 1 | |a Dunne |D Raymond K. |u School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland. | |
| 700 | 1 | |a O'Riordan |D Eugene |u School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland. | |
| 700 | 1 | |a Shishkin |D Gregorii 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), 361-372 |x 1609-4840 |q 3:3<361 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0023 |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-2003-0023 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dunne |D Raymond K. |u School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland | ||
| 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 Shishkin |D Gregorii 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), 361-372 |x 1609-4840 |q 3:3<361 |1 2003 |2 3 |o cmam | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||