Geodesic
On the convergence of difference schemes for third-order pseudoparabolic equations with degeneracy
News of the Kabardin-Balkar scientific center of RAS, no. 1 (2002), pp. 43-47

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

In this work, a difference scheme is constructed for a third-order pseudoparabolic equation with degeneracy. To solve the difference problem, an a priori estimate is obtained, which implies that the solution of the difference problem converges to the solution of the corresponding differential problem with a speed of $O(h^{3/2} + \tau^2)$, where $h$ and $\tau$ are the mesh parameters.
Keywords: difference scheme, a priori estimate
Mots-clés : pseudoparabolic equation 
@article{IZKAB_2002_1_a7,
     author = {M. Z. Marshenkulov and M. H. Shhanukov-Lafishev},
     title = {On the convergence of difference schemes for third-order pseudoparabolic equations with degeneracy},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {43--47},
     publisher = {mathdoc},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2002_1_a7/}
}
TY  - JOUR
AU  - M. Z. Marshenkulov
AU  - M. H. Shhanukov-Lafishev
TI  - On the convergence of difference schemes for third-order pseudoparabolic equations with degeneracy
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2002
SP  - 43
EP  - 47
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2002_1_a7/
LA  - ru
ID  - IZKAB_2002_1_a7
ER  - 
%0 Journal Article
%A M. Z. Marshenkulov
%A M. H. Shhanukov-Lafishev
%T On the convergence of difference schemes for third-order pseudoparabolic equations with degeneracy
%J News of the Kabardin-Balkar scientific center of RAS
%D 2002
%P 43-47
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IZKAB_2002_1_a7/
%G ru
%F IZKAB_2002_1_a7
M. Z. Marshenkulov; M. H. Shhanukov-Lafishev. On the convergence of difference schemes for third-order pseudoparabolic equations with degeneracy. News of the Kabardin-Balkar scientific center of RAS, no. 1 (2002), pp. 43-47. http://geodesic.mathdoc.fr/item/IZKAB_2002_1_a7/