Geodesic
Half-line solutions of a~nonlinear heat conduction problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 58-65

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We solve a half-line problem for a nonlinear diffusion equation with a given time-dependent thermal conductivity at the origin. The problem reduces to a linear Volterra integral equation, which is solvable by Picard's process of successive approximations. We analyze some explicit examples numerically.
Keywords: nonlinear, heat conduction, half-line. 
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S. De Lillo; G. Lupo; M. Sommacal. Half-line solutions of a~nonlinear heat conduction problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 58-65. http://geodesic.mathdoc.fr/item/TMF_2007_152_1_a4/