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

Document Type: Full Length Article

Authors

1 Khajeh Nasir Toosi University of Technology

2 Khajeh Nasir Toosi University of Technology

Abstract

The present essay scrutinizes the application of discrete mollification as a filtering procedure to
solve a nonlinear backward inverse heat conduction problem in one dimensional space. These
problems are seriously ill-posed. So, we combine discrete mollification 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.

Keywords