RECOVERING THE TIMEWISE REACTION COEFFICIENT FOR A TWO-DIMENSIONAL FREE BOUNDARY PROBLEM

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.