期刊
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
卷 9, 期 5, 页码 1801-1821出版社
WILMINGTON SCIENTIFIC PUBLISHER, LLC
DOI: 10.11948/20180318
关键词
Inverse source problem; Tikhonov regularization; conjugate gradient algorithm
资金
- NSF of China [11371181, 11771192]
- Institute of Scientific Computation and Financial data Analysis in Shanghai University of Finance and Economics
This work is concerned with identifying a space-dependent source function from noisy final time measured data in a time-fractional diffusion wave equation by a variational regularization approach. We provide a regularity of direct problem as well as the existence and uniqueness of adjoint problem. The uniqueness of the inverse source problem is discussed. Using the Tikhonov regularization method, the inverse source problem is formulated into a variational problem and a conjugate gradient algorithm is proposed to solve it. The efficiency and robust of the proposed method are supported by some numerical experiments.
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