On a space fractional backward diffusion problem and its approximation of local solution

DOI10.1016/J.CAM.2018.07.016zbMath1404.65142OpenAlexW2884048345MaRDI QIDQ1624664

Triet Le Minh, Hoang-Hung Vo, Tran Thi Khieu, Tra Quoc Khanh

Publication date: 16 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.07.016

zbMATH Keywords

error estimatesLipschitz continuityill-posed problemspace-fractional diffusiontruncated regularization

Mathematics Subject Classification ID

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 discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items (6)

A Hermite spectral method for fractional convection diffusion equations on unbounded domains ⋮ Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type ⋮ A non-stationary iterative Tikhonov regularization method for simultaneous inversion in a time-fractional diffusion equation ⋮ The backward problem for nonlinear fractional diffusion equation with time-dependent order ⋮ Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity ⋮ Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type

Cites Work

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