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A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions - MaRDI portal

A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions (Q6066570)

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scientific article; zbMATH DE number 7777344

Language	Label	Description	Also known as
English	A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions	scientific article; zbMATH DE number 7777344

Statements

scholarly article

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A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions (English)

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Numerical Methods for Partial Differential Equations

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publication date

13 December 2023

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zbMATH Keywords

differential quadrature method

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Hermite RBF-DQ

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meshfree method

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Neumann boundary condition

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variable-order time fractional

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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.22997

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Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications

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

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Gauss‐Lobatto‐Legendre‐Birkhoff pseudospectral approximations for the multi‐term time fractional diffusion‐wave equation with Neumann boundaryconditions

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A new approach for solving integro-differential equations of variable order

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A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel

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Meshless methods: An overview and recent developments

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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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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations

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An upwind local RBF-DQ method for simulation of inviscid compressible flows

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Scattered node compact finite difference-type formulas generated from radial basis functions

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A local radial basis functions -- finite difference technique for the analysis of composite plates

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A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model

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A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method

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On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs

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A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation

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Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model

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The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods

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Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method

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Unsteady seepage analysis using local radial basis function-based differential quadrature method

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A novel upwind-based local radial basis function differential quadrature method for convection-dominated flows

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Meshless simulation of stochastic advection-diffusion equations based on radial basis functions

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Computing a numerical solution of two dimensional non-linear Schrödinger equation on complexly shaped domains by RBF based differential quadrature method

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A new method for evaluating options based on multiquadric RBF-FD method

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Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains

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\(hp\)-meshless cloud method

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Radial point interpolation collocation method (RPICM) for partial differential equations

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The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems

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Hermite type radial basis function-based differential quadrature method for higher order equations

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A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation

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Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method

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A meshless method for solving the time fractional advection-diffusion equation with variable coefficients

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A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation

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A boundary collocation method for anomalous heat conduction analysis in functionally graded materials

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An efficient localized collocation solver for anomalous diffusion on surfaces

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli

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A Simple Mesh Generator in MATLAB

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On choosing ``optimal'' shape parameters for RBF approximation

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Recent advances on radial basis function collocation methods

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A semi-Lagrangian meshless framework for numerical solutions of two-dimensional sloshing phenomenon

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The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1002/NUM.22997

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Sitelinks

Mathematics(1 entry)

mardi Publication:6066570

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