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- W3031745343 abstract "Abstract In this paper, we deal with the inverse problem of identifying the unknown source of time-fractional diffusion equation on a columnar symmetric domain. This problem is ill-posed. Firstly, we establish the conditional stability for this inverse problem. Then the regularization solution is obtained by using the Tikhonov regularization method and the error estimates are derived under the a priori and a posteriori choice rules of the regularization parameter. Three numerical examples are presented to illustrate the validity and effectiveness of our method." @default.
- W3031745343 created "2020-06-05" @default.
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- W3031745343 date "2020-03-19" @default.
- W3031745343 modified "2023-10-17" @default.
- W3031745343 title "Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain" @default.
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- W3031745343 doi "https://doi.org/10.1186/s13662-020-2542-1" @default.
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