Mathematical and numerical modeling of inverse heat conduction problem

This is the authors' abstract. We don't add key points for this paper.

The present paper refers to the assessment of three numerical methods for solving the inverse heat conduction problem: the Alifanov's iterative regularization method, the Tikhonov local regularization method and the Tikhonov equation regularization method, respectively. For all methods we developed numerical algorithms for reconstruction of the unsteady boundary condition imposing some restrictions for the unsteady temperature field in the interior points. Numerical tests allow evaluating the accuracy of the considered methods.