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

International Journal of Mathematical Modelling & Computations

مقاله 6، دوره 7، 2 (SPRING) - شماره پیاپی 26، تیر 2017، صفحه 159-173   

نوع مقاله: Full Length Article

نویسندگان

A. Zakeri^{* 1}؛ Soheila Bodaghi²

¹Khajeh Nasir Toosi University of Technology

²Khajeh Nasir Toosi University of Technology

چکیده

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.

کلیدواژه‌ها

Nonlinear backward inverse heat conduction problem؛ Discrete mollification؛ Space marching method؛ Stability؛ convergence