A mollified space-marching finite-different algorithm for the two-dimensional inverse heat conduction problem with slab symmetry

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Abstract
The two-dimensional inverse heat conduction problem (IHCP) for a slab is considered. A new solution algorithm based on a data filtering interpretation of the mollification method is presented and a fully explicit space-marching finite-differences scheme is developed. The efficiency and the numerical stability of the method are demonstrated by means of several examples. The numerical results show the procedure to be very useful in the presence of noisy data, even for some nonlinear models.