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 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
@article{10_2298_PIM1613067S,
     author = {Bratislav V. Sredojevi\'c and Dejan R. Bojovi\'c},
     title = {Finite {Difference} {Approximation} for {Parabolic} {Interface} {Problem} {With} {Time-Dependent} {Coefficients}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {67 },
     publisher = {mathdoc},
     volume = {_N_S_99},
     number = {113},
     year = {2016},
     doi = {10.2298/PIM1613067S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1613067S/}
}
TY  - JOUR
AU  - Bratislav V. Sredojević
AU  - Dejan R. Bojović
TI  - Finite Difference Approximation for Parabolic Interface Problem With Time-Dependent Coefficients
JO  - Publications de l'Institut Mathématique
PY  - 2016
SP  - 67 
VL  - _N_S_99
IS  - 113
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM1613067S/
DO  - 10.2298/PIM1613067S
LA  - en
ID  - 10_2298_PIM1613067S
ER  - 
%0 Journal Article
%A Bratislav V. Sredojević
%A Dejan R. Bojović
%T Finite Difference Approximation for Parabolic Interface Problem With Time-Dependent Coefficients
%J Publications de l'Institut Mathématique
%D 2016
%P 67 
%V _N_S_99
%N 113
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM1613067S/
%R 10.2298/PIM1613067S
%G en
%F 10_2298_PIM1613067S
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. http://geodesic.mathdoc.fr/articles/10.2298/PIM1613067S/

Cité par Sources :