caa a22 4500 378860143 CHVBK 20180305123344.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0005 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0005 Bojović Dejan University of Kragujevac, Faculty of Science, Radoja Domanovića 12, 34000 Kragujevac, Yugoslavia. Convergence of Finite Fifference Method for Parabolic Problem [Elektronische Daten] [Dejan Bojović] 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. 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. boundary-value problem nationallicence finite differences nationallicence Sobolev spaces nationallicence convergence rate estimates nationallicence Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 45-58 1609-4840 3:1<45 2003 3 cmam https://doi.org/10.2478/cmam-2003-0005 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0005 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bojović Dejan University of Kragujevac, Faculty of Science, Radoja Domanovića 12, 34000 Kragujevac, Yugoslavia NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 45-58 1609-4840 3:1<45 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter