Publications de l'Institut Mathématique, Nouvelle Série Vol. 99(113), pp. 67–76 (2016) 

FINITE DIFFERENCE APPROXIMATION FOR PARABOLIC INTERFACE PROBLEM WITH TIMEDEPENDENT COEFFICIENTSBratislav V. Sredojevic, Dejan R. BojovicFaculty of Science, University of Kragujevac, Kragujevac, SerbiaAbstract: The convergence of difference scheme for twodimensional initialboundary value problem for the heat equation with concentrated capacity and timedependent coefficients of the space derivatives, is considered. An estimate of the rate of convergence in a special discrete $\widetilde{W}^{1,1/2}_2$ Sobolev norm, compatible with the smoothness of the coefficients and solution, is proved. Keywords: interface problem; convergence; Sobolev norm Classification (MSC2000): 65M12; 65M15 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.
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