Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638649 | Journal of Computational and Applied Mathematics | 2015 | 16 Pages |
Abstract
In this paper, we consider a backward space-fractional diffusion problem. We propose an a posteriori parameter choice rule for the regularization method given in Zheng and Wei (2010), where the authors proposed a regularization method called convolution regularization method, and gave an a priori parameter choice strategy. In this paper, we study the same problem but give a new a posteriori parameter choice based on a modified version of the discrepancy principle, and obtain a loglog-type error estimate under an additional source condition. Numerical results show that our method is feasible.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Cong Shi, Chen Wang, Guanghui Zheng, Ting Wei,