NUMERICAL SOLUTION OF AN INVERSE PROBLEM WITH NONLINEAR SOURCE THERM

In this paper, a nonlinear problem of inhomogeneous heat equation with linear boundary conditions will be considered. The surface heat flux history of a heat conducting body will be identified. The approach of proposed method is approximated unknown function by polygons linear pieces which are determined consecutively from the solution of minimization problem based on the overspeciied data. Some numerical examples also will be presented.

Keywords:

Direct and Inverse Heat Conduction Problem , Residual Minimization , Least-Square Method