The boundary element method for the solution of the backward heat conduction equation
Journal Article
·
· Journal of Computational Physics
- Tsinghua University, Beijing (China)
- Univ. of Leeds (United Kingdom)
In this paper we consider the numerical solution of the one-dimensional, unsteady heat conduction equation in which Dirichlet boundary conditions are specified at two space locations and the temperature distribution of a particular time, say T{sub 0}, is given. The temperature distribution for all times, t< T{sub 0}, is now required and this backward heat conduction problem is a well-known improperly posed problem. In order to modify the boundary element method and this results in a stable approximation to the solution and the accuracy of the numerical results are very encouraging. 17 refs., 2 figs., 4 tabs.
- OSTI ID:
- 105455
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 116; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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