Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation (Q6088438)

scientific article; zbMATH DE number 7777687

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English	Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation	scientific article; zbMATH DE number 7777687

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instance of

scholarly article

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title

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

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Numerical Methods for Partial Differential Equations

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publication date

14 December 2023

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zbMATH Keywords

inverse initial value problem

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iterative Tikhonov regularization method

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time-fractional diffusion-wave equation

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uniqueness

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/num.22517

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cites work

Wright functions as scale-invariant solutions of the diffusion-wave equation

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Numerically pricing double barrier options in a time-fractional Black-Scholes model

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Solution for a fractional diffusion-wave equation defined in a bounded domain

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Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

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Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

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A compact difference scheme for the fractional diffusion-wave equation

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Time fractional IHCP with Caputo fractional derivatives

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Implicit difference approximation for the time fractional diffusion equation

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

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An inverse problem for a one-dimensional time-fractional diffusion problem

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An iterative method for backward time‐fractional diffusion problem

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

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Robin coefficient identification for a time-fractional diffusion equation

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Inverse source problem for a fractional diffusion equation

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A tutorial on inverse problems for anomalous diffusion processes

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Regularization by projection for a backward problem of the time-fractional diffusion equation

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

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A modified quasi-boundary value method for the backward time-fractional diffusion problem

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Recovering the initial distribution for a time-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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Identification of the zeroth-order coefficient in a time fractional diffusion equation

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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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The backward problem for a time-fractional diffusion-wave equation in a bounded domain

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Q5699297

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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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Q4001895

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Inverse problems for partial differential equations

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Nonstationary iterated Tikhonov regularization

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Q4001920

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Iterative regularization methods for nonlinear ill-posed problems

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Mathematics(1 entry)

mardi Publication:6088438