Half-line solutions of a nonlinear heat conduction problem

Silvana de Lillo; Gaia Lupo; Matteo Sommacal

doi:10.1007/s11232-007-0078-0

Half-line solutions of a nonlinear heat conduction problem

Silvana de Lillo, Gaia Lupo, Matteo Sommacal

Mathematics, Physics and Electrical Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	926-932
Journal	Theoretical and Mathematical Physics
Volume	152
Issue number	1
DOIs	https://doi.org/10.1007/s11232-007-0078-0
Publication status	Published - 2007

Keywords

nonlinear
heat conduction
half-line

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10.1007/s11232-007-0078-0

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title = "Half-line solutions of a nonlinear heat conduction problem",

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{\textquoteright}s process of successive approximations. We analyze some explicit examples numerically.",

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AB - 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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KW - heat conduction

KW - half-line

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SN - 1361-6447

SN - 1573-9333

SN - 1751-8113

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VL - 152

SP - 926

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JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

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Half-line solutions of a nonlinear heat conduction problem

Abstract

Keywords

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