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Bulletin of Irkutsk State University. Series Mathematics, 2012, Volume 5, Issue 2, Pages 2–17 (Mi iigum62)  
This article is cited in 8 scientific papers (total in 8 papers)

Boundary element method and power series method for one-dimensional non-linear filtration problems

A. L. Kazakova, L. F. Spevakb

a Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, 134, Lermontov St., Irkutsk, 664033
b Institute of engineering science of Ural Branch of Russian Academy of Sciences, 34, Komsomolskaya St., Ekaterinburg, 620049
Full-text PDF (275 kB) Citations (8)
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Abstract: The paper deals with the analytical and numerical study of the nonlinear filtration (diffusion) equation with degeneration, without initial data, at two different boundary value modes. Particularly, a new approach to the construction of problem solutions based on the boundary element method has been proposed, the application results being compared with the solutions obtain with the application of the power series method. Model examples have been considered.
Keywords: partial differential equations; nonlinear filtration (diffusion) equation; boundary value problem; boundary element method; power series method.
Document Type: Article
UDC: 517.95:518.517
Language: Russian
Citation: A. L. Kazakov, L. F. Spevak, “Boundary element method and power series method for one-dimensional non-linear filtration problems”, Bulletin of Irkutsk State University. Series Mathematics, 5:2 (2012), 2–17
Citation in format AMSBIB
\Bibitem{KazSpe12}
\by A.~L.~Kazakov, L.~F.~Spevak
\paper Boundary element method and power series method for one-dimensional non-linear filtration problems
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2012
\vol 5
\issue 2
\pages 2--17
\mathnet{http://mi.mathnet.ru/iigum62}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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