Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order (Q2677066)

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English	Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order	scientific article

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instance of

scholarly article

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title

Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order (English)

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author

Yanyan Li

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published in

Chaos, Solitons and Fractals

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publication date

12 January 2023

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zbMATH Keywords

variable-order fractional derivative

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neural network method

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fractional advection-diffusion equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.chaos.2022.111856

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cites work

Fractional differentiation matrices with applications

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Q3421758

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Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation

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A class of second order difference approximations for solving space fractional diffusion equations

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Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub‐diffusion equations

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A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations

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A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations

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Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in $\mathbb R^2$

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An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations

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A Fast Finite Element Method for Space-Fractional Dispersion Equations on Bounded Domains in $\mathbb{R}^2$

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Fractional kinetic equations: solutions and applications

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A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

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A new Jacobi operational matrix: an application for solving fractional differential equations

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On shifted Jacobi spectral method for high-order multi-point boundary value problems

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Fourier spectral methods for fractional-in-space reaction-diffusion equations

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Numerical study of fractional nonlinear Schrödinger equations

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Fractional integration and differentiation of variable order

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Pseudodifferential operators with variable order of differentiation generating Feller semigroups

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Mechanics with variable-order differential operators

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On Markov process generated by pseudodifferential operator of variable order

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The variable viscoelasticity oscillator

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Neural network method for solving fractional diffusion equations

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Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

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Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

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A characteristic difference method for the variable-order fractional advection-diffusion equation

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A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations

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Variable-order fractional derivatives and their numerical approximations

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Second-order approximations for variable order fractional derivatives: algorithms and applications

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Optimal control of variable-order fractional model for delay cancer treatments

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Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations

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Spectral Methods

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Identifiers

zbMATH Open document ID

1506.35272

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DOI

10.1016/j.chaos.2022.111856

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2677066