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A new a posteriori parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem.
- Source :
-
Journal of Computational & Applied Mathematics . May2015, Vol. 279, p233-248. 16p. - Publication Year :
- 2015
-
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 log -type error estimate under an additional source condition. Numerical results show that our method is feasible. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 279
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 100153022
- Full Text :
- https://doi.org/10.1016/j.cam.2014.11.013