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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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Short communications
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
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
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
Linking options:
https://www.mathnet.ru/eng/vyurm97 https://www.mathnet.ru/eng/vyurm/v5/i2/p174
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