Time-Dependent Reaction Coefficient Identification Problems with a Free Boundary |
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| Authors: | Mousa J. Huntul |
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| Affiliation: | 1. Department of Applied Mathematics, University of Leeds, Leeds, UK;2. Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia |
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| Abstract: | The determination of time-dependent reaction coefficients in free boundary heat transfer problems is numerically investigated. The additional data which provides a unique solution is given by the Stefan boundary condition and the heat moments. The finite difference method with the Crank-Nicolson scheme combined with a regularized nonlinear optimization is employed. The resulting nonlinear system of equations is solved numerically using the MATLAB toolbox routine lsqnonlin for minimizing the Tikhonov regularization functional. A discussion of the choice of regularization parameters is provided. Numerical results are presented and discussed. |
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| Keywords: | Inverse problem free boundary heat equation Tikhonov regularization |
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