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Source term identification of time-fractional diffusion equation under Robin boundary condition
  • Jianxuan Cui,
  • Hao Cheng
Jianxuan Cui
Jiangnan University School of Science

Corresponding Author:[email protected]

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Hao Cheng
Jiangnan University
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Abstract

The source term identification of the time-fractional diffusion equation under Robin boundary condition is studied. This problem is ill-posed. Therefore, we apply Landweber iterative regularization method, Fractional Landweber iterative regularization method, TSVD method, combining TSVD method and Fractional Landweber iterative regularization method, respectively. The comparisons of these four methods are given, which can help us select the most effective method. The error estimates between the regularized approximate solutions and the exact solution are given under the a priori and a posteriori regularization parameter choice rules. Finally, numerical examples verify the effectiveness of the methods.
02 Aug 2022Submitted to Mathematical Methods in the Applied Sciences
03 Aug 2022Submission Checks Completed
03 Aug 2022Assigned to Editor
15 Aug 2022Reviewer(s) Assigned
07 Nov 2022Review(s) Completed, Editorial Evaluation Pending
07 Nov 2022Editorial Decision: Revise Minor
15 Nov 20221st Revision Received
16 Nov 2022Submission Checks Completed
16 Nov 2022Assigned to Editor
16 Nov 2022Review(s) Completed, Editorial Evaluation Pending
20 Nov 2022Reviewer(s) Assigned
21 Nov 2022Editorial Decision: Accept