A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method

Abstract

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