Symmetries and Invariant Solutions for the Thermal Expulsion Equation

Volume 9 , Issue 1 , September 2007 , Pages 99-105

Authors

Maha Falih Jassim 1

1 Department of Systems of Computers, Commission of Technical Hducation' Technical institute \ Kirkuk, Kurdistan Region Iraq

DOI logo 10.17656/jzs.10153

Keywords

Abstract

In this paper we study the classical Lie symmetries method for a two'dimensional pa*ial differential
equation (pOd) wUcn is catted the Thermal Eipulsion EqYdr.oll1l. rve obtained reductions to an ordinary
differential equation of a second order (ODE) called priniipal (ODE)'.Then we analyzed some problems of
the Thermal Expulsion Equation wtren it is invariant to ihe stretching group to derive an approximate
solution of the Expulsion dquation corresponding to impulsive boundary conditions, when these conditions
are clamped and a slowly varying happens in them with respect to time again.

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