Time-Dependent Reaction Coefficient Identification Problems with a Free Boundary. Issue 2 (4th March 2019)

• Record Type: Journal Article
• Authors: Huntul, Mousa J.; Lesnic, Daniel
• Is Part Of: International journal for computational methods in engineering science and mechanics. Volume 20:Issue 2(2019)
• Page Start: 99
• Page End: 114
• Publication Date: 2019-03-04
• Subjects: Inverse problem -- free boundary -- heat equation -- Tikhonov regularization; Engineering -- Data processing -- Periodicals; Engineering mathematics -- Periodicals; Computer-aided engineering -- Periodicals; 620.00420285
• DOI: 10.1080/15502287.2019.1568619
• Languages: English
• ISSNs: 1550-2287

Abstract

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.