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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 4(25), Pages 93–101
DOI: https://doi.org/10.14498/vsgtu839 (Mi vsgtu839) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Modeling

Application of the modified boundary element method for the solution of parabolic problems

V. P. Fedotov, O. A. Nefedova

Lab. of Applied Mechanics, Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu839
Abstract: An algorithm for finding numerically-analytical solution of parabolic problems (diffusion and heat conduction) is proposed. The problem is solved by the proposed algorithm in three steps. At the first step the one-dimensional problem is solved for a base interval of integration. This problem is of independent significance as well as the basis for the second step. At the second step the two-dimensional parabolic problem is considered. Its solution is performed using the modified boundary elements method. At the third step, the method of step-by-step integration over time is used.
Keywords: linear parabolic equation, modified boundary element method, numerical-analytical integration.
Original article submitted 04/XI/2010
revision submitted – 27/IX/2011
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: 65M38
Language: Russian
Citation: V. P. Fedotov, O. A. Nefedova, “Application of the modified boundary element method for the solution of parabolic problems”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(25) (2011), 93–101
Citation in format AMSBIB
\Bibitem{FedNef11}
\by V.~P.~Fedotov, O.~A.~Nefedova
\paper Application of the modified boundary element method for the solution of parabolic problems
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 4(25)
\pages 93--101
\mathnet{http://mi.mathnet.ru/vsgtu839}
\crossref{https://doi.org/10.14498/vsgtu839}
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  • https://www.mathnet.ru/eng/vsgtu/v125/p93
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :253
    References:32
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