Iterated fractional Tikhonov method for recovering the source term and initial data simultaneously in a two-dimensional diffusion equation (Q6582015)

scientific article; zbMATH DE number 7890896

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English	Iterated fractional Tikhonov method for recovering the source term and initial data simultaneously in a two-dimensional diffusion equation	scientific article; zbMATH DE number 7890896

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instance of

scholarly article

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title

Iterated fractional Tikhonov method for recovering the source term and initial data simultaneously in a two-dimensional diffusion equation (English)

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Journal of Computational and Applied Mathematics

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publication date

1 August 2024

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zbMATH Keywords

diffusion equation

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uniqueness

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iterated fractional Tikhonov method

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simultaneous inversion

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MaRDI profile type

Publication

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cites work

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Fourier regularization for a backward heat equation

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Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation

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

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Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat 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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Modeling attractors of chaotic dynamical systems with fractal-fractional operators

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Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation

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Simultaneous reconstruction of the initial temperature and heat radiative coefficient

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Q2981171

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Simultaneous determination of the space-dependent source and the initial distribution in a heat equation by regularizing Fourier coefficients of the given measurements

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A procedure for determining a spacewise dependent heat source and the initial temperature

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Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation

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Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation

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Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one‐dimensional heat equation

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Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

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Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation

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A simultaneous inversion problem for the variable-order time fractional differential equation with variable coefficient

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Recovering the source and initial value simultaneously in a parabolic equation

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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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Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation

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Determination of three parameters in a time-space fractional diffusion equation

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Simultaneous inversion of time-dependent source term and fractional order for a time-fractional diffusion equation

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A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation

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A modified Tikhonov regularization method for a class of inverse parabolic problems

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Simultaneous determination for a space-dependent heat source and the initial data by the MFS

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Regularization by fractional filter methods and data smoothing

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Fractional Tikhonov regularization for linear discrete ill-posed problems

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On fractional Tikhonov regularization

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Iterated fractional Tikhonov regularization

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Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation

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Identifiers

zbMATH Open document ID

1544.35211

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DOI

10.1016/j.cam.2024.116062

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6582015