Geodesic
Finite Difference Approximation for Parabolic Interface Problem With Time-Dependent Coefficients
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 67

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DOI

The convergence of difference scheme for two-dimensional initial-boundary value problem for the heat equation with concentrated capacity and time-dependent 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.
DOI : 10.2298/PIM1613067S
Classification : 65M12, 65M15
Keywords: interface problem, convergence, Sobolev norm 
Bratislav V. Sredojević; Dejan R. Bojović. Finite Difference Approximation for Parabolic Interface Problem With Time-Dependent Coefficients. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 67 . doi: 10.2298/PIM1613067S
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     title = {Finite {Difference} {Approximation} for {Parabolic} {Interface} {Problem} {With} {Time-Dependent} {Coefficients}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {67 },
     year = {2016},
     volume = {_N_S_99},
     number = {113},
     doi = {10.2298/PIM1613067S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1613067S/}
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