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 174–177 (Mi vyurm97)  

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Explicit scheme for the solution of third boundary value problem for quasi-linear heat equation

M. Z. Khayrislamov, A. V. Herreinstein

South Ural State University
References:
Abstract: In produced paper numerical method for the solution of third boundary value problem for one-dimensional quasi-linear heat equation grounded on the use of explicit finite-difference scheme is offered. The coefficients’ dependence on temperature is overcome by introducing the new unknown function — a primitive integral of conduction. Test problem with known exact solution for numerical calculations is proposed.
Keywords: thermal conductivity; quasi-linear heat equation; explicit finite-difference schemes; approximation.
Received: 06.08.2013
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. Z. Khayrislamov, A. V. Herreinstein, “Explicit scheme for the solution of third boundary value problem for quasi-linear heat equation”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:2 (2013), 174–177
Citation in format AMSBIB
\Bibitem{KhaHer13}
\by M.~Z.~Khayrislamov, A.~V.~Herreinstein
\paper Explicit scheme for the solution of third boundary value problem for quasi-linear heat equation
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2013
\vol 5
\issue 2
\pages 174--177
\mathnet{http://mi.mathnet.ru/vyurm97}
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