A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method
Subject Areas : International Journal of Mathematical Modelling & Computations
A. Zakeri
1
(
Khajeh Nasir Toosi University of Technology
)
Soheila Bodaghi
2
(
Khajeh Nasir Toosi
University of Technology
)
Keywords: convergence, Stability, Nonlinear backward inverse heat conduction problem, Discrete mollification, Space marching method,
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.