Meshfree methods for the variable-order fractional advection-diffusion equation (Q6108212)

scientific article; zbMATH DE number 7704418

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English	Meshfree methods for the variable-order fractional advection-diffusion equation	scientific article; zbMATH DE number 7704418

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instance of

scholarly article

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title

Meshfree methods for the variable-order fractional advection-diffusion equation (English)

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Mathematics and Computers in Simulation

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publication date

29 June 2023

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zbMATH Keywords

variable-order fractional equation

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advection-diffusion equation

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radial basis function

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Kansa's method

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full-implicit scheme

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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.matcom.2023.04.003

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cites work

An implicit numerical method for the two-dimensional fractional percolation equation

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Fractional diffusion equations by the Kansa method

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Multilevel RBF collocation method for the fourth-order thin plate problem

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A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations

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A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain

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Q3446085

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Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients

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A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation

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A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation

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Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates

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Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity

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Solving the elliptic Monge-Ampère equation by Kansa's method

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Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations

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Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions

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Gauss-Jacobi-type quadrature rules for fractional directional integrals

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A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces

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Local discontinuous Galerkin method for nonlinear time-space fractional subdiffusion/superdiffusion equations

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The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients

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Radial basis functions method for nonlinear time- and space-fractional Fokker-Planck equation

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Suspension concentration distribution in turbulent flows: an analytical study using fractional advection-diffusion equation

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Fractional Differential Equations

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A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation

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Numerical solution of fractional diffusion-wave equation based on fractional multistep method

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An implicit MLS meshless method for 2-D time dependent fractional diffusion-wave equation

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Error analysis of nonlinear time fractional mobile/immobile advection-diffusion equation with weakly singular solutions

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Numerical analysis of a new space-time variable fractional order advection-dispersion equation

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

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.MATCOM.2023.04.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:6108212