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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.