Geodesic
Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains
Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 37 .

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

We investigate an initial boundary value problem for one dimensional parabolic equation in two disconnected intervals. A finite difference scheme for its solution is proposed and investigated. Convergence rate estimate compatible with the smoothness of input data is obtained.
DOI : 10.2298/PIM0898037J
Classification : 65M12 65M15
Keywords: initial-boundary value problem, disconnected domains, interface, Sobolev spaces, finite differences, convergence rate 
@article{10_2298_PIM0898037J,
     author = {Bo\v{s}ko S. Jovanovi\'c and Lubin G. Vulkov},
     title = {Finite {Difference} {Approximation} of {Strong} {Solutions} of a {Parabolic} {Interface} {Problem} on {Disconnected} {Domains}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {37 },
     publisher = {mathdoc},
     volume = {_N_S_84},
     number = {98},
     year = {2008},
     doi = {10.2298/PIM0898037J},
     zbl = {1199.65274},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0898037J/}
}
TY  - JOUR
AU  - Boško S. Jovanović
AU  - Lubin G. Vulkov
TI  - Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains
JO  - Publications de l'Institut Mathématique
PY  - 2008
SP  - 37 
VL  - _N_S_84
IS  - 98
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM0898037J/
DO  - 10.2298/PIM0898037J
LA  - en
ID  - 10_2298_PIM0898037J
ER  - 
%0 Journal Article
%A Boško S. Jovanović
%A Lubin G. Vulkov
%T Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains
%J Publications de l'Institut Mathématique
%D 2008
%P 37 
%V _N_S_84
%N 98
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0898037J/
%R 10.2298/PIM0898037J
%G en
%F 10_2298_PIM0898037J
Boško S. Jovanović; Lubin G. Vulkov. Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains. Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 37 . doi : 10.2298/PIM0898037J. http://geodesic.mathdoc.fr/articles/10.2298/PIM0898037J/

Cité par Sources :