A Regularization Method for Solving a Nonlinear Backward Inverse Heat Conduction Problem Using Discrete Mollication Method

Abstract. The present essay scrutinizes the application of discrete mollication as a ltering procedure to solve a nonlinear backward inverse heat conduction problem in one dimensional space. These problems are seriously ill-posed. So, we combine discrete mollication and space marching method to address the ill-posedness of the proposed problem. Moreover, a proof of stability and convergence of the aforementioned algorithm is provided. Finally, the results of this paper have been illustrated by some numerical examples.