Quasi solution of a backward space fractional diffusion equation

DOI10.1515/jiip-2018-0042zbMath1434.65232OpenAlexW2952444904WikidataQ127673027 ScholiaQ127673027MaRDI QIDQ2293296

Amir Hossein Salehi Shayegan, Ali Zakeri

Publication date: 7 February 2020

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2018-0042

zbMATH Keywords

stabilityfinite element methodtruncated singular value decomposition (TSVD) regularizationquasi solutionbackward space fractional diffusion equation

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Eigenvalues, singular values, and eigenvectors (15A18) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Fractional partial differential equations (35R11) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (3)

Identification of an inverse source problem in a fractional partial differential equation based on Sinc-Galerkin method and TSVD regularization ⋮ Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant ⋮ Identification of the diffusion coefficient in a time fractional diffusion equation

Uses Software

• FODE

Cites Work

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