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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 4, Pages 608–618
DOI: https://doi.org/10.7868/S0044466914040061 (Mi zvmmf10020) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Boundary value problem for a first-order linear parabolic system

S. V. Gaidomak

Institute of Dynamic Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
Full-text PDF (263 kB) Citations (6)
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DOI: https://doi.org/10.7868/S0044466914040061
Abstract: A boundary value problem for a linear parabolic system is considered. Sufficient conditions for the well-posedness of the problem are found. The spline collocation method on a uniform grid is used to construct a high-order accurate implicit difference scheme, and its absolute stability is proved.
Key words: linear system of first-order parabolic equations, sufficient well-posedness conditions for boundary value problems, spline collocation method, absolute stability of difference schemes.
Received: 15.04.2013
Revised: 12.11.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 4, Pages 620–630
DOI: https://doi.org/10.1134/S096554251404006X
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: S. V. Gaidomak, “Boundary value problem for a first-order linear parabolic system”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 608–618; Comput. Math. Math. Phys., 54:4 (2014), 620–630
Citation in format AMSBIB
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    • This publication is cited in the following 6 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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