| Volume 10, Number 2, 2020, Pages 514-529 DOI：10.11948/20180279 |
| Landweber iterative method for an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain |
| Fan Yang,Ni Wang,Xiao-Xiao Li |
| Keywords:Time-fractional diffusion-wave equation, identifying the unknown source, Landweber iterative method, parameter choice rule. |
| Abstract: |
| In this paper, an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain is considered. In general, this problem is ill-posed. Landweber iterative method is used to solve this inverse source problem. The error estimates between the regularization solution and the exact solution are derived by an a-priori and an a-posteriori regularization parameters choice rules. The numerical examples are presented to verify the efficiency and accuracy of the proposed methods. |
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