An iteration regularization for a time-fractional inverse diffusion problem

DOI10.1016/j.apm.2012.01.016zbMath1254.65100OpenAlexW2084622529MaRDI QIDQ1930781

Hao Cheng, Chu-Li Fu

Publication date: 13 January 2013

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.01.016

zbMATH Keywords

error estimateiteration regularization methodA posteriori parameter choicetime-fractional inverse diffusion problem

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items (21)

Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain ⋮ The quasi-boundary value method for identifying the initial value of the space-time fractional diffusion equation ⋮ A regularization for a Riesz–Feller space-fractional backward diffusion problem ⋮ The numerical solution for the time-fractional inverse problem of diffusion equation ⋮ The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional 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 ⋮ Landweber iterative method for an inverse source problem of time-space fractional diffusion-wave equation ⋮ An iterative regularization method to solve the Cauchy problem for the Helmholtz equation ⋮ 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 ⋮ Generalized Tikhonov method for the final value problem of time-fractional diffusion equation ⋮ Wavelet regularization strategy for the fractional inverse diffusion problem ⋮ Fractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional space ⋮ An extension of the Landweber regularization for a backward time fractional wave problem ⋮ An iterative method for backward time‐fractional diffusion problem ⋮ Pseudospectral method for a one-dimensional fractional inverse problem ⋮ 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

Cites Work

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• New fast iteration for determining surface temperature and heat flux of general sideways parabolic equation
• A new regularization method for solving a time-fractional inverse diffusion problem
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical solution of the space fractional Fokker-Planck equation.
• Solution for a fractional diffusion-wave equation defined in a bounded domain
• Finite difference approximations for fractional advection-dispersion flow equations
• A fractional diffusion equation to describe Lévy flights
• Stable numerical solution of a fractional-diffusion inverse heat conduction problem
• Iteration methods on sideways parabolic equations
• Optimal modified method for a fractional-diffusion inverse heat conduction problem

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