Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations
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Publication:5155302
DOI10.4208/aamm.OA-2016-0170zbMath1488.35577OpenAlexW2769636548MaRDI QIDQ5155302
Xianzheng Jia, Chunlong Sun, Gongsheng Li
Publication date: 6 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2016-0170
numerical inversionill-posednessbackward problemmultivariate Mittag-Leffler functionmulti-term time-fractional diffusion
Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)
Related Items (5)
A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation ⋮ A fractional-order quasi-reversibility method to a backward problem for the multi-term time-fractional diffusion equation ⋮ Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem ⋮ Two regularization methods for identifying the unknown source in a multiterm time-fractional diffusion equation ⋮ Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation
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