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Numerical solution of integrodifferential heat conduction equation for a nonlocal medium

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Abstract

A heat conduction model is proposed based on the relations of rational thermodynamics of irreversible processes, taking into account the nonlocal nature of the medium and the finite speed of heat propagation. In the one-dimensional case, the numerical solution of the integral-differential equation of heat conduction is obtained by the finite-element method.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, Russia

    G. N. Kuvyrkin & I. Yu. Savelyeva

Authors
  1. G. N. Kuvyrkin
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  2. I. Yu. Savelyeva
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Correspondence to I. Yu. Savelyeva.

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Original Russian Text © G.N. Kuvyrkin, I.Yu. Savelyeva, 2013, published in Matematicheskoe Modelirovanie, 2013, Vol. 25, No. 5, pp. 99–108.

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Kuvyrkin, G.N., Savelyeva, I.Y. Numerical solution of integrodifferential heat conduction equation for a nonlocal medium. Math Models Comput Simul 6, 1–8 (2014). https://doi.org/10.1134/S2070048214010104

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  • DOI: https://doi.org/10.1134/S2070048214010104

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