Numerical recovery of a time-dependent potential in subdiffusion <sup>*</sup> (Q6136778)

scientific article; zbMATH DE number 7790259

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English	Numerical recovery of a time-dependent potential in subdiffusion <sup>*</sup>	scientific article; zbMATH DE number 7790259

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instance of

scholarly article

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title

Numerical recovery of a time-dependent potential in subdiffusion <sup>*</sup> (English)

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17 January 2024

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full work available at URL

https://arxiv.org/abs/2311.02420

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zbMATH Keywords

inverse potential problem

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subdiffusion

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Lipschitz stability

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error estimate

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fixed point method

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MaRDI profile type

MaRDI publication profile

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cites work

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Fractional Differential Equations

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Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time

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Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview

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Subdiffusion with a time-dependent coefficient: Analysis and numerical solution

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A tutorial on inverse problems for anomalous diffusion processes

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An inverse potential problem for subdiffusion: stability and reconstruction*

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Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class of \(L_2\)-functions

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On Inverse Problem of Determination of the Coefficient in the Black-Scholes Type Equation

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Q5699297

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Stochastic modeling in nanoscale biophysics: subdiffusion within proteins

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Fractional Differential Equations

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Discretized Fractional Calculus

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Convolution quadrature and discretized operational calculus. I

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Inverse potential problem for a semilinear generalized fractional diffusion equation with spatio-temporal dependent coefficients

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Discrete mollification and automatic numerical differentiation

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ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION

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Q3688787

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Q3704326

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Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation

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Identifying a time-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation by using the measured data at a boundary point

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Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition

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A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations

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Identifying a fractional order and a time-dependent coefficient in a time-fractional diffusion wave 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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An undetermined coefficient problem for a fractional diffusion equation

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Identification of Potential in Diffusion Equations from Terminal Observation: Analysis and Discrete Approximation

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Recovering the potential term in a fractional diffusion equation

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Stability and numerical analysis of backward problem for subdiffusion with time-dependent coefficients

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Numerical Treatment and Analysis of Time-Fractional Evolution Equations

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Identifiers

arXiv ID

2311.02420

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Mathematics Subject Classification ID

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10.1088/1361-6420/AD14A0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6136778