A modified Tikhonov regularization method for a Cauchy problem of a time fractional diffusion equation

DOI10.1007/S11766-019-3613-5zbMath1449.35432OpenAlexW2971827775MaRDI QIDQ2322802

Kewei Liang, Lele Yuan, Xiao-liang Cheng

Publication date: 5 September 2019

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-019-3613-5

zbMATH Keywords

error estimatesCauchy problemconjugate gradient methodtime-fractional diffusion equationmodified Tikhonov regularization method

Mathematics Subject Classification ID

Inverse problems in optimal control (49N45) Inverse problems for integral equations (45Q05) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
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• A new regularization method for a Cauchy problem of the time fractional diffusion equation
• An inverse problem for a fractional diffusion equation
• Stable numerical solution to a Cauchy problem for a time fractional diffusion equation
• On the uniqueness and reconstruction for an inverse problem of the fractional diffusion process
• Spectral regularization method for the time fractional inverse advection-dispersion equation
• A new regularization method for solving a time-fractional inverse diffusion problem
• Implicit finite difference approximation for time fractional diffusion equations
• Regularization methods for large-scale problems
• A modified kernel method for a time-fractional inverse diffusion problem
• Stability estimate and the modified regularization method for a Cauchy problem of the fractional diffusion equation
• Determination of Robin coefficient in a fractional diffusion problem
• Time fractional IHCP with Caputo fractional derivatives
• Stable numerical solution of a fractional-diffusion inverse heat conduction problem
• Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation
• An optimal filtering method for a time-fractional inverse advection-dispersion problem
• The determination of an unknown boundary condition in a fractional diffusion equation
• Stochastic solution of space-time fractional diffusion equations
• Carleman estimate for a fractional diffusion equation with half order and application
• Optimal modified method for a fractional-diffusion inverse heat conduction problem
• A stable numerical scheme for a time fractional inverse parabolic equation

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