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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 11, Pages 2044–2051 (Mi zvmmf571)  

This article is cited in 7 scientific papers (total in 7 papers)

Approximate solutions to a nonlinear heat conduction problem

N. A. Kudryashov

Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409, Russia
Full-text PDF (869 kB) Citations (7)
References:
Abstract: A nonlinear heat conduction problem on a half-line is examined. It is assumed that the temperature at the medium boundary varies with time according to a power or exponential law and that the initial temperature of the medium is zero. An approximate solution to the problem is obtained. Exact solutions are found in special cases. The convergence of the solutions found is discussed.
Key words: radiant heat conduction, nonlinear heat equation, gas filtration, approximate solutions, exact solutions.
Received: 06.09.2004
Bibliographic databases:
Document Type: Article
UDC: 519.633.6
Language: Russian
Citation: N. A. Kudryashov, “Approximate solutions to a nonlinear heat conduction problem”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 2044–2051; Comput. Math. Math. Phys., 45:11 (2005), 1965–1972
Citation in format AMSBIB
\Bibitem{Kud05}
\by N.~A.~Kudryashov
\paper Approximate solutions to a nonlinear heat conduction problem
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 11
\pages 2044--2051
\mathnet{http://mi.mathnet.ru/zvmmf571}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2203227}
\zmath{https://zbmath.org/?q=an:1109.35059}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 11
\pages 1965--1972
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  • https://www.mathnet.ru/eng/zvmmf/v45/i11/p2044
  • This publication is cited in the following 7 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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    Abstract page:580
    Full-text PDF :411
    References:61
    First page:1
     
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