Exponential Tikhonov regularization method for an inverse source problem in a sub-diffusion equation (Q6652831)

scientific article; zbMATH DE number 7958102

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English	Exponential Tikhonov regularization method for an inverse source problem in a sub-diffusion equation	scientific article; zbMATH DE number 7958102

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scholarly article

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title

Exponential Tikhonov regularization method for an inverse source problem in a sub-diffusion equation (English)

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Taiwanese Journal of Mathematics

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publication date

13 December 2024

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zbMATH Keywords

convergence rate

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exponential regularization method

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ill-posed problem

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inverse source problem

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time-space fractional diffusion equation

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Publication

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cites work

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Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

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Nonstationary iterated Tikhonov regularization

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The space-time fractional diffusion equation with Caputo derivatives

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Boundary stabilization for time-space fractional diffusion equation

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Backward problem for a time-space fractional diffusion equation

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Identifying the space source term problem for time-space-fractional diffusion equation

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An inverse time-dependent source problem for a time-space fractional diffusion equation

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Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method

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Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem

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Inverse source problem for a multiterm time-fractional diffusion equation with nonhomogeneous boundary condition

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Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model

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An inverse source problem for a one-dimensional space–time fractional diffusion equation

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Q5018429

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Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation

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Anomalous transport in velocity space: from Fokker–Planck to the general equation

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Q5352095

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New model function methods for determining regularization parameters in linear inverse problems

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Exponential Tikhonov Regularization Method for Solving an Inverse Source Problem of Time Fractional Diffusion Equation

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A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation

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Implicit difference approximation for the time fractional diffusion equation

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Mathematics(1 entry)

mardi Publication:6652831