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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 9, Pages 1497–1514
DOI: https://doi.org/10.7868/S0044466914090051 (Mi zvmmf10089) 		 
This article is cited in 24 scientific papers (total in 24 papers)

A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation

M. Kh. Beshtokov

Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia
Full-text PDF (893 kB) Citations (24)
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DOI: https://doi.org/10.7868/S0044466914090051
Abstract: A nonlocal boundary value problem for a third-order hyperbolic equation with variable coefficients is considered in the one- and multidimensional cases. A priori estimates for the nonlocal problem are obtained in the differential and difference formulations. The estimates imply the stability of the solution with respect to the initial data and the right-hand side on a layer and the convergence of the difference solution to the solution of the differential problem.
Key words: boundary value problems, nonlocal condition, a priori estimate, difference scheme, stability and convergence of difference schemes, third-order hyperbolic equation, pseudo-parabolic equation.
Received: 12.04.2012
Revised: 22.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 9, Pages 1441–1458
DOI: https://doi.org/10.1134/S096554251409005X
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. Kh. Beshtokov, “A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014), 1497–1514; Comput. Math. Math. Phys., 54:9 (2014), 1441–1458
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    • This publication is cited in the following 24 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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