A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJMAC-7-2_006
تاریخ نمایه سازی: 28 دی 1401
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:
Nonlinear backward inverse heat conduction problem , Discrete mollification , Space marching method , Stability , convergence
Authors
A. Zakeri
Khajeh Nasir Toosi University of Technology
Soheila Bodaghi
Khajeh Nasir Toosi University of Technology