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Fan Yang, Ni Wang, Xiao-Xiao Li. LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 514-529. doi: 10.11948/20180279
Citation: Fan Yang, Ni Wang, Xiao-Xiao Li. LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 514-529. doi: 10.11948/20180279
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LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN

  • 1.

    School of Science, Lan Zhou University of Technology, Langongping, 730050 Lanzhou, China

  • Corresponding author: Email address:yfggd114@163.com(F. Yang) 
  • Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11561045, 11961044) and the Doctor Fund of Lan Zhou University of Technology
    Abstract
  • In this paper, an inverse source problem of time-fractional diffusionwave 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.
    MSC: 65M30, 35R25, 35R30
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