Differential quadrature method for space-fractional diffusion equations on 2D irregular domains (Q1989944)

scientific article; zbMATH DE number 6967414

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English	Differential quadrature method for space-fractional diffusion equations on 2D irregular domains	scientific article; zbMATH DE number 6967414

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instance of

scholarly article

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title

Differential quadrature method for space-fractional diffusion equations on 2D irregular domains (English)

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29 October 2018

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full work available at URL

https://arxiv.org/abs/1703.10308

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zbMATH Keywords

differential quadrature (DQ)

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radial basis functions (RBFs)

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fractional directional derivatives

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space-fractional diffusion equations

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describes a project that uses

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Solution for a fractional diffusion-wave equation defined in a bounded domain

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The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics

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Differential quadrature and longterm integration

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Differential quadrature and splines

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A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients

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Solution of nonlinear evolution problems by parallelized collocation-interpolation methods

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

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The parameter $R^ 2$ in multiquadric interpolation

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Fractals and fractional calculus in continuum mechanics

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Q5476865

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Exponential convergence andH-c multiquadric collocation method for partial differential equations

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Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation

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Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

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Boundary Problems for the Fractional and Tempered Fractional Operators

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General Padé approximation method for time-space fractional diffusion equation

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The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation

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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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Algorithm 655

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Variational formulation for the stationary fractional advection dispersion equation

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

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A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients

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Smoothed particle hydrodynamics: theory and application to non-spherical stars

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Stability and convergence of a finite volume method for the space fractional advection-dispersion equation

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A fast finite volume method for conservative space-fractional diffusion equations in convex domains

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Adaptive Finite Element Methods for Elliptic PDEs Based on Conforming Centroidal Voronoi–Delaunay Triangulations

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A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain

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Assessment and applications of point interpolation methods for computational mechanics

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A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation

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Reproducing kernel particle methods

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The shape parameter in the Gaussian function. II

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The fundamental solutions for the fractional diffusion-wave equation

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Finite difference methods for two-dimensional fractional dispersion equation

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Finite difference approximations for two-sided space-fractional partial differential equations

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The partition of unity finite element method: basic theory and applications

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Generalizing the finite element method: Diffuse approximation and diffuse elements

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Hitchhiker's guide to the fractional Sobolev spaces

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A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW

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Space-fractional advection-dispersion equations by the Kansa method

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Gauss-Jacobi-type quadrature rules for fractional directional integrals

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes

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Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method

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An efficient Chebyshev-tau method for solving the space fractional diffusion equations

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An algorithm for selecting a good value for the parameter $c$ in radial basis function interpolation

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A tau approach for solution of the space fractional diffusion equation

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A random variable shape parameter strategy for radial basis function approximation methods

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Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations

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Numerical approximations for fractional diffusion equations via splines

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Interpolating element-free Galerkin method for the regularized long wave equation and its error analysis

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

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High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives

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A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations

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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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Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations

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Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains

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An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach

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Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

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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 numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11075-017-0464-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:1989944