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• W4328129784 abstract "This paper is focused on the inverse problem of identifying the space-dependent source function and initial value of the time fractional nonhomogeneous diffusion-wave equation from noisy final time measured data in a multi-dimensional case. A mollification regularization method based on a bilateral exponential kernel is presented to solve the ill-posedness of the problem for the first time. Error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical experiments of interest show that our proposed method is effective and robust with respect to the perturbation noise in the data." @default.
• W4328129784 created "2023-03-22" @default.
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• W4328129784 date "2023-03-21" @default.
• W4328129784 modified "2023-10-01" @default.
• W4328129784 title "Identifying a Space-Dependent Source Term and the Initial Value in a Time Fractional Diffusion-Wave Equation" @default.
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• W4328129784 doi "https://doi.org/10.3390/math11061521" @default.
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