Analytic solutions of initial-boundary-value problems of transient conduction using symmetries
Analysis of PDEs
2009-09-07 v1 Mathematical Physics
math.MP
Abstract
Lie symmetry method is applied to find analytic solutions of initial-boundary-value problems of transient conduction in semi-infinite solid with constant surface temperature or constant heat flux condition. The solutions are obtained in a manner highlighting the systematic procedure of extending the symmetry method for a PDE to investigate BVPs of the PDE. A comparative analysis of numerical and closed form solutions is carried out for a physical problem of heat conduction in a semi-infinite solid bar made of AISI 304 stainless steel.
Cite
@article{arxiv.0909.0785,
title = {Analytic solutions of initial-boundary-value problems of transient conduction using symmetries},
author = {H. Azad and M. T. Mustafa and A. F. M. Arif},
journal= {arXiv preprint arXiv:0909.0785},
year = {2009}
}
Comments
17 pages