A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method
محورهای موضوعی : فصلنامه ریاضیA. Zakeri 1 , Soheila Bodaghi 2
1 - Khajeh Nasir Toosi University of Technology
2 - Khajeh Nasir Toosi
University of Technology
کلید واژه: convergence, Stability, Nonlinear backward inverse heat conduction problem, Discrete mollification, Space marching method,
چکیده مقاله :
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.
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.
