Group Analysis of Nonlinear Heat-Conduction Problem for a Semi-Infinite Body

DOI

10.2991/jnmp.1995.2.3-4.12How to use a DOI?

Abstract

The transformation group theoretic approach is applied to present an analysis of the nonlinear unsteady heat conduction problem in a semi­infinite body. The application of one­parameter group reduces the number of independent variables by one, and consequently the governing partial differential equation with the boundary and initial conditions to an ordinary differential equation with the appropriate corresponding boundary conditions. The ordinary differential equation is solved analytically for some special forms of the thermal parameters. The general analysis developed in this study corresponds to thermal parameters that has different forms with coordinates and time.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - N.A. Badran
AU  - M.B. Abdelmalek
PY  - 1995
DA  - 1995/09/01
TI  - Group Analysis of Nonlinear Heat-Conduction Problem for a Semi-Infinite Body
JO  - Journal of Nonlinear Mathematical Physics
SP  - 319
EP  - 328
VL  - 2
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1995.2.3-4.12
DO  - 10.2991/jnmp.1995.2.3-4.12
ID  - Badran1995
ER  -