Convergence of Finite Fifference Method for Parabolic Problem

Verfasser / Beitragende:
[Dejan Bojović]
Ort, Verlag, Jahr:
2003
Enthalten in:
Computational Methods in Applied Mathematics, 3/1(2003), 45-58
Format:
Artikel (online)
ID: 378860143
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024 7 0 |a 10.2478/cmam-2003-0005  |2 doi 
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100 1 |a Bojović  |D Dejan  |u University of Kragujevac, Faculty of Science, Radoja Domanovića 12, 34000 Kragujevac, Yugoslavia. 
245 1 0 |a Convergence of Finite Fifference Method for Parabolic Problem  |h [Elektronische Daten]  |c [Dejan Bojović] 
520 3 |a In this paper we consider the first initial boundary-value problem for the heat equation with variable coefficients in a domain (0; 1)x(0; 1)x(0; T]. We assume that the solution of the problem and the coefficients of the equation belong to the corresponding anisotropic Sobolev spaces. Convergence rate estimate which is consistent with the smoothness of the data is obtained. 
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 boundary-value problem  |2 nationallicence 
690 7 |a finite differences  |2 nationallicence 
690 7 |a Sobolev spaces  |2 nationallicence 
690 7 |a convergence rate estimates  |2 nationallicence 
773 0 |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 3/1(2003), 45-58  |x 1609-4840  |q 3:1<45  |1 2003  |2 3  |o cmam 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Bojović  |D Dejan  |u University of Kragujevac, Faculty of Science, Radoja Domanovića 12, 34000 Kragujevac, Yugoslavia 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 3/1(2003), 45-58  |x 1609-4840  |q 3:1<45  |1 2003  |2 3  |o cmam 
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