An Almost Sixth-Order Finite-Difference Method for Semilinear Singular Perturbation Problems
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| 008 | 161128s2004 xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.2478/cmam-2004-0020 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2004-0020 | ||
| 100 | 1 | |a Vulanović |D Relja |u Kent State University Stark Campus, 6000 Frank Ave. NW, Canton, OH 44720-7599, USA. | |
| 245 | 1 | 3 | |a An Almost Sixth-Order Finite-Difference Method for Semilinear Singular Perturbation Problems |h [Elektronische Daten] |c [Relja Vulanović] |
| 520 | 3 | |a The discretization meshes of the Shishkin type are more suitable for high- order finite-difference schemes than Bakhvalov-type meshes. This point is illustrated by the construction of a hybrid scheme for a class of semilinear singularly perturbed reaction-diffusion problems. A sixth-order five-point equidistant scheme is used at most of the mesh points inside the boundary layers, whereas lower-order three-point schemes are used elsewhere. It is proved under certain conditions that this combined scheme is almost sixth-order accurate and that its error does not increase when the perturbation parameter tends to zero. | |
| 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 finite differences |2 nationallicence | |
| 690 | 7 | |a semilinear boundary value problem |2 nationallicence | |
| 690 | 7 | |a Shishkin mesh |2 nationallicence | |
| 690 | 7 | |a singular perturbation |2 nationallicence | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 4/3(2004), 368-383 |x 1609-4840 |q 4:3<368 |1 2004 |2 4 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2004-0020 |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-2004-0020 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Vulanović |D Relja |u Kent State University Stark Campus, 6000 Frank Ave. NW, Canton, OH 44720-7599, USA | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 4/3(2004), 368-383 |x 1609-4840 |q 4:3<368 |1 2004 |2 4 |o cmam | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||