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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 7, Pages 1223–1231 (Mi zvmmf4720)  
This article is cited in 21 scientific papers (total in 21 papers)

Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions

M. H. Shhanukov-Lafishev

nstitute of Computer Science and Problems of Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, ul. I. Armand 37a, Nalchik, 360000, Russia
Full-text PDF (640 kB) Citations (21)
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Abstract: The third boundary value problem for a loaded heat equation in a $p$-dimensional parallelepiped is considered. An a priori estimate for the solution to a locally one-dimensional scheme is derived, and the convergence of the scheme is proved.
Key words: boundary value problem, loaded heat equation, difference scheme, scheme convergence, total approximation, embedding theorem, a priori estimate.
Received: 06.06.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 7, Pages 1167–1174
DOI: https://doi.org/10.1134/S0965542509070094
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: M. H. Shhanukov-Lafishev, “Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1223–1231; Comput. Math. Math. Phys., 49:7 (2009), 1167–1174
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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