Source term identification of time‐fractional diffusion equation under Robin boundary condition (Q6140688)

scientific article; zbMATH DE number 7782377

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English	Source term identification of time‐fractional diffusion equation under Robin boundary condition	scientific article; zbMATH DE number 7782377

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instance of

scholarly article

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title

Source term identification of time‐fractional diffusion equation under Robin boundary condition (English)

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Mathematical Methods in the Applied Sciences

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publication date

2 January 2024

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zbMATH Keywords

error estimates

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fractional diffusion equation

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iterative regularization

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Robin boundary condition

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source term identification

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.8927

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cites work

Maximum principle and its application for the time-fractional diffusion equations

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Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions

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Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives

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Finite difference approximations for fractional advection-dispersion flow equations

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A finite difference method with non-uniform timesteps for fractional diffusion equations

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A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation

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The accuracy and stability of an implicit solution method for the fractional diffusion equation

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Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation

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Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy

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A finite element approximation for a class of Caputo time-fractional diffusion equations

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A weak Galerkin finite element method for solving time-fractional coupled Burgers' equations in two dimensions

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A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation

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Inverse source problem for a fractional diffusion equation

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Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation

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An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization

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Regularized solution of an inverse source problem for a time fractional diffusion equation

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An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions

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An introduction to the mathematical theory of inverse problems

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Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation

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Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain

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Regularization by fractional filter methods and data smoothing

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A note on ``Analytical solution for the time-fractional telegraph equation by the method of separating variables''

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation

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Iteration methods on sideways parabolic equations

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Identifiers

DOI

10.1002/mma.8927

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6140688