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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 5, Pages 842–853
DOI: https://doi.org/10.7868/S0044466917020156 (Mi zvmmf10574) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Time step selection for the numerical solution of boundary value problems for parabolic equations

P. N. Vabishchevicha, A. O. Vasil'evb

a Nuclear Safety Institute, Russian Academy of Sciences, Moscow, Russia
b Ammosov North-Eastern Federal University, Yakutsk, Russia
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DOI: https://doi.org/10.7868/S0044466917020156
Abstract: An algorithm is proposed for selecting a time step for the numerical solution of boundary value problems for parabolic equations. The solution is found by applying unconditionally stable implicit schemes, while the time step is selected using the solution produced by an explicit scheme. Explicit computational formulas are based on truncation error estimation at a new time level. Numerical results for a model parabolic boundary value problem are presented, which demonstrate the performance of the time step selection algorithm.
Key words: implicit difference schemes, time step selection, parabolic equation, truncation error.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00785_а
16-08-01215_а
Received: 01.02.2016
Revised: 02.07.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 5, Pages 843–853
DOI: https://doi.org/10.1134/S0965542517020142
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: P. N. Vabishchevich, A. O. Vasil'ev, “Time step selection for the numerical solution of boundary value problems for parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017), 842–853; Comput. Math. Math. Phys., 57:5 (2017), 843–853
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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