Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method

DOI10.3934/eect.2018032zbMath1405.65111OpenAlexW2890043400MaRDI QIDQ1711904

Zhousheng Ruan, Sican Xiong, Sen Zhang

Publication date: 18 January 2019

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2018032

zbMATH Keywords

inverse source problemtime fractional diffusion equationquasi-boundary value methodconvergence rate estimates

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (7)

Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative ⋮ Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using \(a\)-polynomials ⋮ Numerical methods for the forward and backward problems of a time-space fractional diffusion equation ⋮ Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation ⋮ Inverse source problem for a distributed-order time fractional diffusion equation ⋮ On a backward problem for two-dimensional time fractional wave equation with discrete random data ⋮ Numerical inversion of reaction parameter for a time-fractional diffusion equation by Legendre spectral collocation and mollification method

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