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• W4285607020 abstract "The problem of determining a space-dependent source term in a time fractional diffusion equation is considered from the measured data at the final time. To find an approximation of the source term, a methodology involving minimization of the cost functional is applied. Also, in order to construct the Landweber iteration algorithm, an explicit formula for the gradient of the cost functional J is given via the solution of an adjoint problem. The resulting adjoint problem is treated by a radial basis function method for spatial dimension and a finite difference scheme for the time fractional derivative followed by an iterative domain decomposition method to achieve a desired accuracy. In addition, Lipschitz continuity of the gradient of the cost functional, monotonicity and convergence of Landweber iteration algorithm are proved. At the end, a numerical example is given to show the validation of the iterative algorithm." @default.
• W4285607020 created "2022-07-16" @default.
• W4285607020 creator A5073033346 @default.
• W4285607020 date "2023-01-01" @default.
• W4285607020 modified "2023-09-27" @default.
• W4285607020 title "Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation" @default.
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• W4285607020 doi "https://doi.org/10.1016/j.cam.2022.114531" @default.
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