Geodesic
About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 548-560

Voir la notice de l'article provenant de la source Math-Net.Ru

A nonlocal boundary value problem for a third-order pseudo-parabolic equation with variable coefficients is considered. For solving this problem, a priori estimates in the differential and difference forms are obtained. The obtained a priori estimates imply the uniqueness and stability of the solution on a layer with respect to the initial data and the right-hand side and the convergence of the solution of the difference problem to the solution of the differential problem.
Keywords: boundary value problem, a nonlocal boundary value problem, a third-order pseudo-parabolic equation, difference schemes, stability and convergence of difference schemes, a priori estimates, energy inequality method.
Mots-clés : a nonlocal condition 
@article{SEMR_2021_18_1_a30,
     author = {A. K. Bazzaev and D. K. Gutnova},
     title = {About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {548--560},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a30/}
}
TY  - JOUR
AU  - A. K. Bazzaev
AU  - D. K. Gutnova
TI  - About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2021
SP  - 548
EP  - 560
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a30/
LA  - en
ID  - SEMR_2021_18_1_a30
ER  - 
%0 Journal Article
%A A. K. Bazzaev
%A D. K. Gutnova
%T About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2021
%P 548-560
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a30/
%G en
%F SEMR_2021_18_1_a30
A. K. Bazzaev; D. K. Gutnova. About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 548-560. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a30/