Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation (Q6184798)

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scientific article; zbMATH DE number 7784413

Language	Label	Description	Also known as
English	Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation	scientific article; zbMATH DE number 7784413

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scholarly article

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Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation (English)

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Computational and Applied Mathematics

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publication date

5 January 2024

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zbMATH Keywords

time-fractional equation

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hidden-memory

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variable-order

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fast finite difference method

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convergence analysis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-023-02504-6

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Variable-order fractional calculus: a change of perspective

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An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order

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A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions

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Numerical analysis of a fast finite element method for a hidden-memory variable-order time-fractional diffusion equation

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Variable order and distributed order fractional operators

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All-at-once method for variable-order time fractional diffusion equations

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

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A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations

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An \(\alpha\)-robust fast algorithm for distributed-order time-space fractional diffusion equation with weakly singular solution

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Numerical Solution of Elliptic and Parabolic Partial Differential Equations

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Exponential-sum-approximation technique for variable-order time-fractional diffusion equations

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Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions

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Numerical approximation for a nonlinear variable-order fractional differential equation via a collocation method

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An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation

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Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations

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Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S40314-023-02504-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:6184798

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