A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method
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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.
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Journal title
volume 7 issue 2
pages 159- 173
publication date 2017-11-01
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