Abstract
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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 1, pp. 58–65, July, 2007.
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De Lillo, S., Lupo, G. & Sommacal, M. Half-line solutions of a nonlinear heat conduction problem. Theor Math Phys 152, 926–932 (2007). https://doi.org/10.1007/s11232-007-0078-0
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DOI: https://doi.org/10.1007/s11232-007-0078-0