Source Identification for the Time-Fractional Diffusion Equation With Robin Boundary Conditions

CUI Jianxuan; SHI Chengxin; LIU Mian; CHENG Hao

doi:10.21656/1000-0887.430004

Volume 43 Issue 11

Nov. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(11): 1303-1312

CUI Jianxuan, SHI Chengxin, LIU Mian, CHENG Hao. Source Identification for the Time-Fractional Diffusion Equation With Robin Boundary Conditions[J]. Applied Mathematics and Mechanics, 2022, 43(11): 1303-1312. doi: 10.21656/1000-0887.430004

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Source Identification for the Time-Fractional Diffusion Equation With Robin Boundary Conditions

doi: 10.21656/1000-0887.430004

School of Science, Jiangnan University, Wuxi, Jiangsu 214122, P.R.China

Received Date: 2022-01-04
Rev Recd Date: 2022-02-10

Available Online: 2022-10-11

Publish Date: 2022-11-30

Abstract

Abstract

The source term identification for the time-fractional diffusion equation with Robin boundary conditions was studied. Since the ill-posedness of this problem, an iterative regularization method was constructed to calculate the regularized approximate solution of the source term. The error estimates between the regularized approximate solution and the exact solution were given under the priori and the posteriori regularization parameter choice rules. Numerical examples verify the effectiveness of the proposed method.
- fractional diffusion equation,
- source term identification,
- iterative regularization,
- error estimate

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References(19)

References

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