Numerical solution of inverse heat conduction problem with nonstationary measurements

The inverse heat conduction problem involves the calculation of surface heat flux and/or temperature histories from transient measured temperatures inside solid. In this paper, the temperature is not specified at x = 0 in an inverse heat conduction problem. We choose an additional moving boundary condition. This problem may be subdivided into two separate problems, one of these problems is a moving boundary problem which is solved exactly by means of fundamental solution of heat equation. The second problem is an inverse moving boundary problem which is solved with the residual minimization least-squares method. By using numerical examples we show the accuracy of our method.