Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 12, pp. 2021-2041
Voir la notice de l'article provenant de la source Math-Net.Ru
Boundary value problems for loaded third-order pseudo-parabolic equations with variable coefficients are considered. A priori estimates for the solutions of the problems in the differential and difference formulations are obtained. These a priori estimates imply the uniqueness and stability of the solution with respect to the initial data and the right-hand side on a layer, as well as the convergence of the solution of each difference problem to the solution of the corresponding differential problem.
@article{ZVMMF_2017_57_12_a5,
author = {M. Kh. Beshtokov},
title = {Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2021--2041},
publisher = {mathdoc},
volume = {57},
number = {12},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a5/}
}
TY - JOUR AU - M. Kh. Beshtokov TI - Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2017 SP - 2021 EP - 2041 VL - 57 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a5/ LA - ru ID - ZVMMF_2017_57_12_a5 ER -
%0 Journal Article %A M. Kh. Beshtokov %T Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2017 %P 2021-2041 %V 57 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a5/ %G ru %F ZVMMF_2017_57_12_a5
M. Kh. Beshtokov. Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 12, pp. 2021-2041. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a5/