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

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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author = "\{de Lillo\}, Silvana and Gaia Lupo and Matteo Sommacal",

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AU - Lupo, Gaia

AU - Sommacal, Matteo

PY - 2007

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N2 - 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.

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.

KW - nonlinear

KW - heat conduction

KW - half-line

UR - http://www.springerlink.com/content/e0566j527k158r44/fulltext.pdf

UR - https://www.scopus.com/pages/publications/34548402179

U2 - 10.1007/s11232-007-0078-0

DO - 10.1007/s11232-007-0078-0

M3 - Article

SN - 0040-5779

SN - 0305-4470

SN - 1361-6447

SN - 1573-9333

SN - 1751-8113

SN - 1751-8121

SN - 2051-2163

VL - 152

SP - 926

EP - 932

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 1

ER -

Half-line solutions of a nonlinear heat conduction problem

Abstract

Keywords

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