Mathematical model of a~heat transfer in fractal structure medium

V. D. Beybalaev

Matematičeskoe modelirovanie, Tome 21 (2009) no. 5, pp. 55-62.

Résumé

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.

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