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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 1, Pages 110–120 (Mi zvmmf350)  
This article is cited in 10 scientific papers (total in 10 papers)

Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux

N. A. Kudryashov, M. A. Chmykhov

Moscow Engineering Physics Institute, State University, Kashirskoe sh. 31, Moscow, 115409, Russia
Full-text PDF (1061 kB) Citations (10)
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Abstract: One-dimensional (planar, cylindrically symmetric, and spherically symmetric) nonlinear heat conduction problems with the heat flux at the origin specified in the form of a power time dependence are considered. The initial temperature of the medium is assumed to be zero. Approximate solutions to the problems are obtained. The convergence of the resulting solutions is discussed.
Key words: nonlinear heat conduction, asymptotic methods of solution, one-dimensional problems, approximate methods of solution, exact methods of solution, radiant heat conduction.
Received: 10.10.2005
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 1, Pages 107–117
DOI: https://doi.org/10.1134/S0965542507010113
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: N. A. Kudryashov, M. A. Chmykhov, “Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 110–120; Comput. Math. Math. Phys., 47:1 (2007), 107–117
Citation in format AMSBIB
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\paper Approximate solutions to one-dimensional nonlinear heat conduction problems with a~given flux
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\pages 110--120
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\transl
\jour Comput. Math. Math. Phys.
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\issue 1
\pages 107--117
\crossref{https://doi.org/10.1134/S0965542507010113}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :262
    References:55
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