Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation

DOI10.1186/s13662-017-1423-8zbMath1444.65052OpenAlexW2777887830WikidataQ59524146 ScholiaQ59524146MaRDI QIDQ1711114

Xiao-Xiao Li, Cheng-Ye Ma, Fan Yang, Xiao Liu

Publication date: 17 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1423-8

zbMATH Keywords

ill-posed problemtime-fractional diffusion equationunknown sourceLandweber iterative method

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 (11)

Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain ⋮ A fractional Landweber iterative regularization method for stable analytic continuation ⋮ Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator ⋮ The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation ⋮ Source term identification of time‐fractional diffusion equation under Robin boundary condition ⋮ Iterative regularization method for an abstract inverse Goursat problem ⋮ Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method ⋮ Fractional Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion problem ⋮ An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion ⋮ An inverse time-dependent source problem for a time-space fractional diffusion equation ⋮ The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations

Uses Software

• Mittag-Leffler
• mlf

Cites Work

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