Time-Dependent Reaction Coefficient Identification Problems with a Free Boundary.

Autor: Huntul, Mousa J., Lesnic, Daniel
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Zdroj: International Journal for Computational Methods in Engineering Science & Mechanics; 2019, Vol. 20 Issue 2, p99-114, 16p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index