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.
| Original language | English |
|---|---|
| Pages (from-to) | 4132-4140 |
| Number of pages | 9 |
| Journal | Applied Mathematics and Computation |
| Volume | 215 |
| Issue number | 12 |
| DOIs | |
| State | Published - 15 Feb 2010 |
Keywords
- Analytic solutions
- Boundary-value problems
- Lie point symmetries
- Partial differential equations
- Transient conduction
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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