A new \textit{a posteriori} parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem

DOI10.1016/J.CAM.2014.11.013zbMath1310.65113OpenAlexW2037792750MaRDI QIDQ482691

Cong Shi, Ting Wei, Chen Wang, Guang-Hui Zheng

Publication date: 6 January 2015

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.2014.11.013

zbMATH Keywords

error estimatebackward space-fractional diffusion problemconvolution regularization methodposteriori parameter choice strategy

Mathematics Subject Classification ID

Heat equation (35K05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)

Related Items (15)

Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method ⋮ A Riesz–Feller space‐fractional backward diffusion problem with a time‐dependent coefficient: regularization and error estimates ⋮ Tikhonov-type regularization method for a sideways problem of the time-fractional diffusion equation ⋮ Recovering the initial distribution for space-fractional diffusion equation by a logarithmic regularization method ⋮ On a Riesz-Feller space fractional backward diffusion problem with a nonlinear source ⋮ Determining the initial distribution in space-fractional diffusion by a negative exponential regularization method ⋮ Optimal error bound and modified kernel method for a space-fractional backward diffusion problem ⋮ Filter regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem with temporally dependent thermal conductivity ⋮ Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method ⋮ Optimal regularization for an unknown source of space-fractional diffusion equation ⋮ The backward problem for a nonlinear Riesz-Feller diffusion equation ⋮ Recovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional space ⋮ Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem ⋮ \textit{A posteriori} regularization method for the two-dimensional inverse heat conduction problem ⋮ Solving the Riesz-Feller space-fractional backward diffusion problem by a generalized Tikhonov method

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