Title of article
RECOVERING THE TIMEWISE REACTION COEFFICIENT FOR A TWO-DIMENSIONAL FREE BOUNDARY PROBLEM
Author/Authors
Huntul, M.J. Department of Mathematics - Faculty of Science - Jazan University, Jazan, Saudi Arabia
Pages
20
From page
66
To page
85
Abstract
The reconstruction of the timewise reaction and free boundary coefficients in
the heat equation from an additional Stefan-type and mass/energy measurements data is
considered. This inverse formulation results in a local uniquely solvable problem. The two-
dimensional inverse problem is discretized using an alternating direction explicit method. The
resulting constrained regularized optimization problem is minimized iteratively by employing
a MATLAB toolbox subroutine.
Keywords
Inverse coefficient identification problem , Free boundary , Two-dimensional parabolic equation , Tikhonov regularization , Nonlinear optimization
Journal title
Eurasian Journal of Mathematical and Computer Applications
Serial Year
2019
Record number
2602389
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