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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 1091–1101 (Mi smj2332)  
This article is cited in 14 scientific papers (total in 14 papers)

On some method for solving a nonlinear heat equation

L. I. Rubinaa, O. N. Ul'yanovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University, Ekaterinburg
Full-text PDF (272 kB) Citations (14)
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Abstract: Some exact solutions to a nonlinear heat equation are constructed. An initial-boundary value problem is examined for a nonlinear heat equation. To construct solutions, the problem for a partial differential equation of the second order is reduced to a similar problem for a first order partial differential equation.
Keywords: nonlinear partial differential equations, heat equation, boundary value problem, initialboundary value problem.
Received: 16.03.2011
Revised: 25.01.2012
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 5, Pages 872–881
DOI: https://doi.org/10.1134/S0037446612050126
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: L. I. Rubina, O. N. Ul'yanov, “On some method for solving a nonlinear heat equation”, Sibirsk. Mat. Zh., 53:5 (2012), 1091–1101; Siberian Math. J., 53:5 (2012), 872–881
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:62
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