Inverse estimation of mix-typed boundary conditions in heat conduction problems

A sequential method is proposed to estimate various types of boundary conditions in the field of the inverse heat conduction. An inverse solution is deduced from the proposed method that is based on a numerical approach and the concept of future time. Special features about the proposed method is that no preselected functional form for the unknown function is necessary and no sensitivity analysis is needed in the algorithm. Furthermore, the mix-typed boundary conditions can be estimated in the proposed method. Two examples are used to demonstrate the characteristics of the proposed method. The results show that the proposed method is an accurate, robust, and efficient method to determine the boundary condition in the inverse heat conduction problems.