期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 349, 期 -, 页码 292-303出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2018.12.063
关键词
Time-fractional diffusion equation; Fractional Tikhonov regularization; Inverse source problem; Error estimate
资金
- Natural Science Foundation of China [11661072]
- Natural Science Foundation of Northwest Normal University, China [NWNU-LKQN-17-5]
In this paper, we are concerned with an inverse source problem for the time-fractional diffusion equation with variable coefficients in a general bounded domain. The problem is mildly ill-posed. A new fractional Tikhonov method is proposed. We discuss the a-priori regularization parameter choice rule and the a-posteriori regularization parameter choice rule, and prove the corresponding convergence estimates. Numerical experiments are conducted for illustrating effectiveness of the proposed method. (C) 2018 Elsevier Inc. All rights reserved.
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