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Matem. Mod., 2013, Volume 25, Number 5, Pages 99–108 (Mi mm3365)  

This article is cited in 1 scientific paper (total in 1 paper)

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

G. N. Kuvyrkin, I. Y. Savelyeva

Bauman Moscow State Technical University

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.

Full text: PDF file (316 kB)
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English version:
Mathematical Models and Computer Simulations, 2014, 6:1, 1–8

Bibliographic databases:

UDC: 536.2:519.6
Received: 26.03.2012

Citation: G. N. Kuvyrkin, I. Y. Savelyeva, “Numerical solution of an integrodifferential equation of heat conduction for nonlocal medium”, Matem. Mod., 25:5 (2013), 99–108; Math. Models Comput. Simul., 6:1 (2014), 1–8

Citation in format AMSBIB
\Bibitem{KuvSav13}
\by G.~N.~Kuvyrkin, I.~Y.~Savelyeva
\paper Numerical solution of an integrodifferential equation of heat conduction for~nonlocal medium
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 5
\pages 99--108
\mathnet{http://mi.mathnet.ru/mm3365}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3114905}
\elib{http://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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925954817}


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    This publication is cited in the following articles:
    1. Grishaeva N., Lyukshin B., Lyukshin P., Strukov Yu., Reutov A., Reutov Yu., “The comparison of calculated and experimental values of thermophysical properties of the filled material”, ADVANCED MATERIALS WITH HIERARCHICAL STRUCTURE FOR NEW TECHNOLOGIES AND RELIABLE STRUCTURES (Tomsk, Russia, 21–25 September 2015), AIP Conference Proceedings, 1683, eds. Panin V., Psakhie S., Fomin V., Amer Inst Physics, 2015, 020064  crossref  isi  scopus
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