Half-line solutions of a nonlinear heat conduction problem

de Lillo, Silvana, Lupo, Gaia and Sommacal, Matteo (2007) Half-line solutions of a nonlinear heat conduction problem. Theoretical and Mathematical Physics, 152 (1). pp. 926-932. ISSN 1751-8113

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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.

Item Type:	Article
Uncontrolled Keywords:	nonlinear, heat conduction, half-line
Subjects:	F300 Physics G100 Mathematics
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Related URLs:	Publisher
Depositing User:	Matteo Sommacal
Date Deposited:	09 May 2012 14:14
Last Modified:	13 Oct 2019 00:23
URI:	http://nrl.northumbria.ac.uk/id/eprint/6886

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