An efficient iterative quasi-reversibility method for the inverse source problem of time-fractional diffusion equations
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS(2024)
摘要
This paper is devoted to recovering the source term for a time-fractional diffusion equation from additional temperature data at fixed time t=1. We discuss a uniqueness result of the direct problem and the ill-posedness of the inverse problem, and then apply the iterative quasi-reversibility regularization method to solve the inverse problem. Finally, some one-dimensional and two-dimensional numerical examples are given to verify the effectiveness and feasibility of the proposed method.
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关键词
Error estimate,inverse source problem,iterative quasi-reversibility,Morozov's discrepancy principle
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