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Analytic solutions of initial-boundary-value problems of transient conduction using symmetries |
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| Authors: | H. Azad A.F.M. Arif |
| Affiliation: | a Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia b Department of Mechanical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia |
| 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: | Analytic solutions Transient conduction Partial differential equations Boundary-value problems Lie point symmetries |
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