Methods for Solving of Inverse Heat Conduction Problems

A general mathematical model of the high-temperature thennodiffusion that occurs in a limited environment is considered. Based on this model a formulation of inverse problems for homogeneous and inhomogeneous parabolic equations is proposed. The inverse problem aims at identifying one or several unknown parameters of the mathematical model. These parameters allow maintaining the required temperature distribution and concentration of distribution of substance in the whole area or in part. For each case (internal, external heat source or a combination) the appropriate method for solving the inverse problem is proposed.