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• W3047234367 abstract "Abstract The article investigates a Riesz–Feller space-fractional backward diffusion problem. We develop a generalized Tikhonov regularization method to overcome the ill-posedness of this problem, and then based on the result of conditional stability, we derive the convergence estimates of logarithmic and double logarithmic types for the regularized method by adopting a-posteriori choice rules of regularization parameter. Finally, by using the finite difference method, we solve a direct problem to construct the data, and some corresponding results of numerical simulations are presented to verify the convergence and stability for this method." @default.
• W3047234367 created "2020-08-10" @default.
• W3047234367 creator A5009727766 @default.
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• W3047234367 date "2020-08-03" @default.
• W3047234367 modified "2023-10-16" @default.
• W3047234367 title "Solving the Riesz–Feller space-fractional backward diffusion problem by a generalized Tikhonov method" @default.
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• W3047234367 doi "https://doi.org/10.1186/s13662-020-02719-5" @default.
• W3047234367 hasPublicationYear "2020" @default.
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