Geodesic
Approximate solutions to a nonlinear heat conduction problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 2044-2051 
N. A. Kudryashov. Approximate solutions to a nonlinear heat conduction problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 2044-2051. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A nonlinear heat conduction problem on a half-line is examined. It is assumed that the temperature at the medium boundary varies with time according to a power or exponential law and that the initial temperature of the medium is zero. An approximate solution to the problem is obtained. Exact solutions are found in special cases. The convergence of the solutions found is discussed.

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