In the paper the parametric inverse problem concerning the identification of substitute thermal capacity is considered. This parameter (controlling the solidification process) appears in the energy equation if the one domain approach is taken into account. The identification of thermal capacity is possible under the condition that one disposes the additional information concerning the temperature field in the casting domain (cooling curves at the selected set of points). In order to solve the problem the algorithm using the sensitivity coefficients and least squares criterion has been used. The numerical example is presented in the final part of the paper.
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