| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632057 | Applied Mathematics and Computation | 2010 | 9 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
H. Azad, M.T. Mustafa, A.F.M. Arif,