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- W2056562238 abstract "We deal with an inverse problem of simultaneously identifying the space-dependent diffusion coefficient and the source magnitude in the time fractional diffusion equation from viewpoint of numerics. Such simultaneous inversion problem is often of severe ill-posedness as compared with that of determining a single coefficient function. The forward problem is solved by employing an implicit finite difference scheme, and the inverse problem is solved by applying the homotopy regularization algorithm with Sigmoid-type homotopy parameter. The inversion solutions approximate to the exact solutions demonstrating that the proposed algorithm is efficient for simultaneous inversion problems in the fractional diffusion equation." @default.
- W2056562238 created "2016-06-24" @default.
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- W2056562238 date "2013-05-03" @default.
- W2056562238 modified "2023-09-27" @default.
- W2056562238 title "Simultaneous Inversion for Space-Dependent Diffusion Coefficient and Source Magnitude in the Time Fractional Diffusion Equation" @default.
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- W2056562238 doi "https://doi.org/10.5539/jmr.v5n2p65" @default.
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