Simultaneous inversion of the fractional order and the space-dependent source term for the time-fractional diffusion equation

DOI10.1016/J.AMC.2018.01.025zbMath1427.65228OpenAlexW2791571706WikidataQ130208128 ScholiaQ130208128MaRDI QIDQ2001641

Zhousheng Ruan, Zewen Wang, Wen Zhang

Publication date: 10 July 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.01.025

zbMATH Keywords

uniquenessinverse source problemtime-fractional diffusion equationidentification of fractional order

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items (13)

Identification of points sources via time fractional diffusion equation ⋮ Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation ⋮ On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation ⋮ Simultaneous identification of three parameters in a time-fractional diffusion-wave equation by a part of boundary Cauchy data ⋮ Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation ⋮ Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation ⋮ Determination of the fractional order in semilinear subdiffusion equations ⋮ A simultaneous inversion problem for the variable-order time fractional differential equation with variable coefficient ⋮ Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously ⋮ Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation ⋮ Unnamed Item ⋮ Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model ⋮ Numerical inversion of reaction parameter for a time-fractional diffusion equation by Legendre spectral collocation and mollification method

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