A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation

Xiangtuan Xiong and Xuemin Xue

Applied Mathematics and Computation, 2019, vol. 349, issue C, 292-303

Abstract: 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.

Keywords: Time-fractional diffusion equation; Fractional Tikhonov regularization; Inverse source problem; Error estimate (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:292-303

DOI: 10.1016/j.amc.2018.12.063

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