IJAM: Volume 29, No. 3 (2016)

Abstract. In this paper, we consider the inverse heat conduction problem (IHCP) with a single sensor location inside the heat conduction body and solve it by applying modified variational iteration method (MVIM).

Although the IHCP is ill-posed problem, we can find the numerical-analytic solution of the problem using the MVIM. This method has an excellent estimation of the solution compared with finite difference method even vanishing. The approximations of the temperature and the heat flux at are considered. Moreover, MVIM does not require any discretization, linearization or small perturbation, thus it can be considered as an efficient method to solve this problem. To show the strength of the method, some examples are given.