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Matematicheskoe modelirovanie, 2013, Volume 25, Number 5, Pages 99–108 (Mi mm3365)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical solution of an integrodifferential equation of heat conduction for nonlocal medium

G. N. Kuvyrkin, I. Y. Savelyeva

Bauman Moscow State Technical University
Full-text PDF (316 kB) Citations (2)
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Abstract: The mathematical model of heat conduction in nonlocal medium with internal friction is proposed on the basis of the relations of rational thermodynamics of irreversible processes. One-dimensional numerical solution of an integrodifferential equation of heat conduction was obtained by the finite elements method.
Keywords: nonlocal medium, internal state parameters, integrodifferential equation of heat conduction, finite elements method.
Received: 26.03.2012
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 1, Pages 1–8
DOI: https://doi.org/10.1134/S2070048214010104
Bibliographic databases:
Document Type: Article
UDC: 536.2:519.6
Language: Russian
Citation: G. N. Kuvyrkin, I. Y. Savelyeva, “Numerical solution of an integrodifferential equation of heat conduction for nonlocal medium”, Mat. Model., 25:5 (2013), 99–108; Math. Models Comput. Simul., 6:1 (2014), 1–8
Citation in format AMSBIB
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\by G.~N.~Kuvyrkin, I.~Y.~Savelyeva
\paper Numerical solution of an integrodifferential equation of heat conduction for~nonlocal medium
\jour Mat. Model.
\yr 2013
\vol 25
\issue 5
\pages 99--108
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3114905}
\elib{https://elibrary.ru/item.asp?id=21276880}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 1
\pages 1--8
\crossref{https://doi.org/10.1134/S2070048214010104}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925954817}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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