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 1, Pages 12–17 (Mi vyurm43)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Explicit difference scheme for the solution of one-dimensional quasi-linear heat conductivity equation

A. V. Herreinstein, M. Z. Khayrislamov

South Ural State University
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Abstract: Numerical method for the solution of the third mixed boundary value problem for one-dimensional quasi-linear heat conductivity equation of a parabolic type based on the use of explicit difference scheme is given. Dependence of coefficients on temperature is overcome by the introduction of the new required function that is a primitive integral of conductivity.
Keywords: thermal conductivity, quasi-linear heat conductivity equation, explicit difference schemes, approximation.
Received: 27.12.2012
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. V. Herreinstein, M. Z. Khayrislamov, “Explicit difference scheme for the solution of one-dimensional quasi-linear heat conductivity equation”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:1 (2013), 12–17
Citation in format AMSBIB
\Bibitem{HerKha13}
\by A.~V.~Herreinstein, M.~Z.~Khayrislamov
\paper Explicit difference scheme for the solution of one-dimensional quasi-linear heat conductivity equation
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2013
\vol 5
\issue 1
\pages 12--17
\mathnet{http://mi.mathnet.ru/vyurm43}
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