Spectral regularization method for solving a time-fractional inverse diffusion problem

DOI10.1016/J.AMC.2011.05.076zbMath1228.65187OpenAlexW2093400161MaRDI QIDQ720626

D. Kharzeev

Publication date: 11 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.076

zbMATH Keywords

Laplace transformconvergenceinverse problemnumerical examplesill-posed problemheat fluxFourier methodtime-fractional diffusion equationspectral regularizationCaputo's fractional derivatives

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) 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) Fractional partial differential equations (35R11)

Related Items (13)

The simplified Tikhonov regularization method for solving a Riesz-Feller space-fractional backward diffusion problem ⋮ Tikhonov-type regularization method for a sideways problem of the time-fractional diffusion equation ⋮ The numerical solution for the time-fractional inverse problem of diffusion equation ⋮ On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem ⋮ A quasi-reversibility method for solving a two-dimensional time-fractional inverse heat conduction problem ⋮ A posteriori regularization parameter choice rule for a modified kernel method for a time-fractional inverse diffusion problem ⋮ Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using \(a\)-polynomials ⋮ Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source ⋮ The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation ⋮ A modified kernel method for a time-fractional inverse diffusion problem ⋮ RECOVERY OF THE TEMPERATURE DISTRIBUTION IN A MULTILAYER FRACTIONAL DIFFUSION EQUATION ⋮ An inverse problem for an inhomogeneous time-fractional diffusion equation: a regularization method and error estimate ⋮ Iteration regularization method for a sideways problem of time-fractional diffusion equation

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