Volume 10, Number 2, 2020, Pages 514529 DOI：10.11948/20180279 
Landweber iterative method for an inverse source problem of timefractional diffusionwave equation on spherically symmetric domain 
Fan Yang,Ni Wang,XiaoXiao Li 
Keywords:Timefractional diffusionwave equation, identifying the unknown source, Landweber iterative method, parameter choice rule. 
Abstract: 
In this paper, an inverse source problem of timefractional diffusionwave equation on spherically symmetric domain is considered. In general, this problem is illposed. 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 apriori and an aposteriori regularization parameters choice rules. The numerical examples are presented to verify the efficiency and accuracy of the proposed methods. 
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