Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703154 | Applied Mathematical Modelling | 2015 | 11 Pages |
Abstract
In this study, we consider a problem of recovering a space-dependent source for the time-fractional diffusion equation, where the additional data is the observation at a final moment t=Tt=T. We develop a quasi-reversibility method to overcome the ill-posedness of the problem. The convergence estimates under an a priori parameter choice rule and an a posteriori parameter choice rule are proved, respectively. Finally, numerical examples are presented which demonstrate the effectiveness of the regularization methods and confirm the theoretical claims.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Jun-Gang Wang, Ting Wei,