Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method

DOI10.1186/s13662-020-02922-4zbMath1486.65055OpenAlexW3083179586MaRDI QIDQ2124923

Nguyen Hoang Luc, Le Nhat Huynh, Nguyen Huu Can, Donal O'Regan

Publication date: 11 April 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02922-4

zbMATH Keywords

regularizationfractional Landweber regularization methodfractional Rayleigh-Stokes equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Fractional partial differential equations (35R11)

Related Items (5)

Reconstructing the right-hand side of the Rayleigh-Stokes problem with nonlocal in time condition ⋮ Simultaneous determination of the space-dependent source and initial value for a two-dimensional heat conduction equation ⋮ Inverse problem of determining the order of the fractional derivative in the Rayleigh-Stokes equation ⋮ Identifying the source function for time fractional diffusion with non-local in time conditions ⋮ Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger's vortex and the Kelvin-Helmholtz instability

Cites Work

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• An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
• Fractional Tikhonov regularization for linear discrete ill-posed problems
• On the MHD flow of fractional generalized Burgers' fluid with modified Darcy's law
• The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement
• Iterative regularization methods for nonlinear ill-posed problems
• An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid
• On a backward problem for nonlinear fractional diffusion equations
• Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
• On a backward problem for inhomogeneous time-fractional diffusion equations
• Fractional Tikhonov regularization with a nonlinear penalty term
• A modified iterative regularization method for ill-posed problems
• The one-dimensional heat equation subject to a boundary integral specification
• Iterative methods for best approximate solutions of linear integral equations of the first and second kinds
• Preconditioning Landweber iteration in Hilbert scales
• A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
• On a final value problem for the time-fractional diffusion equation with inhomogeneous source
• Identifying initial condition of the Rayleigh‐Stokes problem with random noise
• Regularization by fractional filter methods and data smoothing
• An Iteration Formula for Fredholm Integral Equations of the First Kind
• THE REVISED GENERALIZED TIKHONOV METHOD FOR THE BACKWARD TIME-FRACTIONAL DIFFUSION EQUATION
• An introduction to the mathematical theory of inverse problems

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