This article is cited in 9 papers

Mathematical model of a heat transfer in fractal structure medium

V. D. Beybalaev

Dagestan State University, Makhachkala

Abstract: There was considered mathematical model of a heat transfer. A theorem of existence and uniqueness of solution of boundary-value for the generalized Caputo on a half-line was proved. Implicit difference scheme of task solution of heat transfer with a derived fractional-order through the time and a space variable were constructed. Criterions of stability of these implicit difference schemes were proved.

Received: 05.10.2007

 English version: Mathematical Models and Computer Simulations, 2010, 2:1, 91–97

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