Regularization for a fractional sideways heat equation

DOI10.1016/j.cam.2013.04.035zbMath1291.65291OpenAlexW2029583526MaRDI QIDQ2252682

Xiang-Xiang Xi, Ming Li, Xiang-Tuan Xiong

Publication date: 23 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.04.035

zbMATH Keywords

regularizationill-posednessoptimal error estimatefractional diffusion equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)

Related Items (8)

Tikhonov-type regularization method for a sideways problem of the time-fractional diffusion equation ⋮ Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation ⋮ A quasi-reversibility method for solving a two-dimensional time-fractional inverse heat conduction problem ⋮ Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using \(a\)-polynomials ⋮ An inverse problem for a time-fractional advection equation associated with a nonlinear reaction term ⋮ A two-dimensional sideways problem with random discrete data ⋮ 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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• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• A spectral method for solving the sideways heat equation
• Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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