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.
Zakeri, A., Bodaghi, S. (2017). A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method. International Journal of Mathematical Modelling & Computations, 7(2 (SPRING)), 159-173.
MLA
A. Zakeri; Soheila Bodaghi. "A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method". International Journal of Mathematical Modelling & Computations, 7, 2 (SPRING), 2017, 159-173.
HARVARD
Zakeri, A., Bodaghi, S. (2017). 'A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method', International Journal of Mathematical Modelling & Computations, 7(2 (SPRING)), pp. 159-173.
VANCOUVER
Zakeri, A., Bodaghi, S. A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method. International Journal of Mathematical Modelling & Computations, 2017; 7(2 (SPRING)): 159-173.
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