Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617385 | Journal of Mathematical Analysis and Applications | 2012 | 15 Pages |
Abstract
In this paper we investigate an inverse problem for a time-fractional diffusion equation which is highly ill-posed in the two-dimensional setting. Based on an a priori assumption, we give a conditional stability result. Some new regularization methods are constructed for solving the inverse problem and the corresponding error estimates are proved. For numerical illustration, several examples are constructed to demonstrate the feasibility and efficiency of the proposed methods.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xiangtuan Xiong, Qian Zhou, Y.C. Hon,