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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2013, Volume 5, Issue 2, Pages 45–51 (Mi vyurm74)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Numerical solution of delayed linearized quasistationary phase-field system of equations

E. A. Omelchenkoa, M. V. Plekhanovab, P. N. Davydovc

a Ural Branch of Russian Academy of Justice
b South Ural State University
c Chelyabinsk State University
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Abstract: For delayed linearized quasistationary phase-field system of equations the numerical method of solution was proposed. The convergence of explicit difference scheme that takes account of delay in the system under investigation was thoroughly studied. On the basis of the results obtained the implementation of the method was realized.
Keywords: Sobolev type equation; quasistationary phase-field system of equations; difference scheme.
Received: 15.04.2013
Document Type: Article
UDC: 519.633
Language: Russian
Citation: E. A. Omelchenko, M. V. Plekhanova, P. N. Davydov, “Numerical solution of delayed linearized quasistationary phase-field system of equations”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:2 (2013), 45–51
Citation in format AMSBIB
\Bibitem{OmePleDav13}
\by E.~A.~Omelchenko, M.~V.~Plekhanova, P.~N.~Davydov
\paper Numerical solution of delayed linearized quasistationary phase-field system of equations
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2013
\vol 5
\issue 2
\pages 45--51
\mathnet{http://mi.mathnet.ru/vyurm74}
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  • https://www.mathnet.ru/eng/vyurm/v5/i2/p45
    • This publication is cited in the following 1 articles:
    1. Yu. A. Dubnov, V. Yu. Polischuk, A. Yu. Popkov, E. S. Sokol, A. V. Melnikov, Yu. M. Polischuk, Yu. S. Popkov, “Entropiino-randomizirovannoe prognozirovanie evolyutsii ploschadi termokarstovykh ozer”, Chelyab. fiz.-matem. zhurn., 6:3 (2021), 384–396  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :82
    References:47
     
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