Radial basis functions method for solving the fractional diffusion equations
type: Item
instance of: scholarly article
title: Radial basis functions method for solving the fractional diffusion equations
zbMATH Open document ID: 1429.65252
author: Fahimeh Saberi Zafarghandi
author: Maryam Mohammadi
author: E. Babolian
author: Sh. Javadi
published in: Applied Mathematics and Computation
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M20
zbMATH DE Number: 7135477
zbMATH Keywords: fractional diffusion equations
zbMATH Keywords: Riemann-Liouville fractional derivative
zbMATH Keywords: radial basis functions
zbMATH Keywords: meshless method
zbMATH Keywords: method of lines
describes a project that uses: Matlab
describes a project that uses: FODE
describes a project that uses: ma2dfc
describes a project that uses: rbf_qr
MaRDI profile type: Publication
full work available at URL: j.amc.2018.08.043
OpenAlex ID: W2894729171
cites work: Interpolation by basis functions of different scales and shapes
cites work: Q3059175
cites work: Radial Basis Functions
cites work: An introduction to fractional calculus
cites work: Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
cites work: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
cites work: Behavior of Solutions of 2D Quasi-Geostrophic Equations
cites work: Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
cites work: A mathematical model on fractional Lotka-Volterra equations
cites work: Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis
cites work: The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
cites work: Solving nonlinear fractional partial differential equations using the homotopy analysis method
cites work: The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations
cites work: Method of lines solutions of the parabolic inverse problem with an overspecification at a point
cites work: A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
cites work: Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
cites work: The meshless kernel-based method of lines for solving the equal width equation
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Interpolation in the limit of increasingly flat radial basis functions
cites work: Q3446085
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: Least squares finite-element solution of a fractional order two-point boundary value problem
cites work: Stable Computations with Gaussian Radial Basis Functions
cites work: Solving partial differential equations by collocation using radial basis functions
cites work: Q4718846
cites work: Front dynamics in a two-species competition model driven by Lévy flights
cites work: On the numerical solution of space-time fractional diffusion models
cites work: Front dynamics in fractional-order epidemic models
cites work: Q5440446
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Numerical treatment for solving the perturbed fractional PDEs using hybrid techniques
cites work: Q5699297
cites work: Second-order explicit difference schemes for the space fractional advection diffusion equation
cites work: A Space-Time Spectral Method for the Time Fractional Diffusion Equation
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation
cites work: Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Q3141902
cites work: A Meshless Method for Solving the 2D BrusselatorReaction-Diffusion System
cites work: A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers' equation
cites work: Numerical solution of GRLW equation using sinc-collocation method
cites work: Q3108020
cites work: Numerical computing with IEEE floating point arithmetic. Incl. one theorem, one rule of thumb, and one hundred and one exercises
cites work: A radial basis functions method for fractional diffusion equations
cites work: Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
cites work: Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
cites work: Q3141895
cites work: A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
cites work: Error estimates and condition numbers for radial basis function interpolation
cites work: Kernel techniques: From machine learning to meshless methods

Radial basis functions method for solving the fractional diffusion equations (cites work)
cites work: A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative

Radial basis functions method for solving the fractional diffusion equations (cites work)
cites work: A second-order accurate numerical approximation for the fractional diffusion equation

Radial basis functions method for solving the fractional diffusion equations (cites work)
cites work: A second-order accurate numerical method for the two-dimensional fractional diffusion equation

Radial basis functions method for solving the fractional diffusion equations (cites work)
cites work: An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations

Radial basis functions method for solving the fractional diffusion equations (cites work)
cites work: Stable multi-domain spectral penalty methods for fractional partial differential equations

Radial basis functions method for solving the fractional diffusion equations (cites work)
cites work: Chaos, fractional kinetics, and anomalous transport

Radial basis functions method for solving the fractional diffusion equations (DOI)
DOI: 10.1016/J.AMC.2018.08.043