Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach

DOI10.1515/JIIP-2017-0091zbMath1503.65279OpenAlexW2803190399WikidataQ130038014 ScholiaQ130038014MaRDI QIDQ2633398

Ting Wei, Xiong-bin Yan

Publication date: 8 May 2019

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-2017-0091

zbMATH Keywords

uniquenessconjugate gradient algorithmTikhonov regularizationinverse spatial source problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fractional derivatives and integrals (26A33) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) 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 (10)

A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation ⋮ An optimal control approach for determining the source term in fractional diffusion equation by different cost functionals ⋮ Determination of the initial density in nonlocal diffusion from final time measurements ⋮ An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion ⋮ A nonstationary iterated quasi-boundary value method for reconstructing the source term in a time-space fractional diffusion equation ⋮ Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation ⋮ Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation ⋮ Identifying source term in the subdiffusion equation with L ²-TV regularization ^* ⋮ An inverse space-dependent source problem for a multi-term time fractional diffusion equation ⋮ RECOVERING A SPACE-DEPENDENT SOURCE TERM IN A TIME-FRACTIONAL DIFFUSION WAVE EQUATION

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