This article is cited in 3 papers

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.

UDC: 536.2:519.6

Received: 26.03.2012

 English version: Mathematical Models and Computer Simulations, 2014, 6:1, 1–8

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