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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 10, Pages 1780–1794
DOI: https://doi.org/10.7868/S0044466916100045
(Mi zvmmf10465)
 

This article is cited in 19 scientific papers (total in 19 papers)

Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients

M. Kh. Beshtokov

Kabardino-Balkar State University, Nalchik, Russia
References:
Abstract: A nonlocal boundary value problem for a degenerating 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 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.
Key words: pseudo-parabolic equation with degeneracy, boundary value problems, nonlocal condition, a priori estimate, difference scheme, stability and convergence of difference schemes, third-order pseudo-parabolic equation, pseudo-parabolic equation.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-31246_мол_а
Received: 05.05.2015
Revised: 29.03.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 10, Pages 1763–1777
DOI: https://doi.org/10.1134/S0965542516100043
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. Kh. Beshtokov, “Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016), 1780–1794; Comput. Math. Math. Phys., 56:10 (2016), 1763–1777
Citation in format AMSBIB
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  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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