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- W1978756304 abstract "In the present paper, we consider an inverse source problem for a fractional diffusion equation. This problem is ill-posed, i.e. the solution (if it exists) does not depend continuously on the data. We give the mollification regularization method to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, a new a posteriori parameter choice rule is also proposed and a good error estimate is also obtained. Numerical examples are presented to illustrate the validity and effectiveness of this method." @default.
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- W1978756304 date "2014-02-14" @default.
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- W1978756304 title "A mollification regularization method for unknown source in time-fractional diffusion equation" @default.
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- W1978756304 doi "https://doi.org/10.1080/00207160.2013.851787" @default.
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