Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain
Ufa mathematical journal, Tome 5 (2013) no. 1, pp. 11-16
Voir la notice de l'article provenant de la source Math-Net.Ru
We consider finite difference schemes for diffusion equation of fractional order in a multidimensional field with third type boundary conditions. We prove the stability and convergence of difference schemes for considered problem.
Keywords:
finite-difference schemes, apriori estimate, maximum principle, third type boundary conditions, stability and convergence of finite-difference scheme.
Mots-clés : diffusion equation of fractional order
Mots-clés : diffusion equation of fractional order
@article{UFA_2013_5_1_a1,
author = {A. K. Bazzaev},
title = {Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain},
journal = {Ufa mathematical journal},
pages = {11--16},
publisher = {mathdoc},
volume = {5},
number = {1},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a1/}
}
TY - JOUR AU - A. K. Bazzaev TI - Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain JO - Ufa mathematical journal PY - 2013 SP - 11 EP - 16 VL - 5 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a1/ LA - en ID - UFA_2013_5_1_a1 ER -
%0 Journal Article %A A. K. Bazzaev %T Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain %J Ufa mathematical journal %D 2013 %P 11-16 %V 5 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a1/ %G en %F UFA_2013_5_1_a1
A. K. Bazzaev. Finite-difference schemes for diffusion equation of fractional order with third type boundary conditions in multidimensional domain. Ufa mathematical journal, Tome 5 (2013) no. 1, pp. 11-16. http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a1/