A numerical method for solving the backward heat conduction problem
Book
·
OSTI ID:449529
- Univ. of Leeds (United Kingdom). Dept. of Applied Mathematical Studies
In this study a numerical solution of the one-dimensional transient, nonlinear backward heat conduction problem is developed. The boundary conditions are specified together with the temperature distribution at a particular time. It is then required to determine the initial temperature distribution. The resulting mathematical problem is discretized using a backward time marching boundary element technique. Since the backward heat conduction problem is ill-posed the minimization of the initial inner energy of the system subject to constraints generated by the boundary element discretization is employed in order to determine an accurate and stable solution. The numerically obtained results are in good agreement with the analytical solutions.
- OSTI ID:
- 449529
- Report Number(s):
- CONF-950828--; ISBN 0-7918-1711-3
- Country of Publication:
- United States
- Language:
- English
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