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 
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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/

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