Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media
type: Item
instance of: scholarly article
title: Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media
zbMATH Open document ID: 1411.76113
author: A. Golbabai
author: Omid Nikan
author: Touraj Nikazad
published in: International Journal of Applied and Computational Mathematics
publication date: 2019-04-18T00:00:00Z
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 7046099
zbMATH Keywords: TF-MIM-AD model
zbMATH Keywords: radial basis functions
zbMATH Keywords: RBF-PS
zbMATH Keywords: collocation methods
zbMATH Keywords: stability
zbMATH Keywords: convergence
describes a project that uses: CXTFIT
MaRDI profile type: Publication
full work available at URL: s40819-019-0635-x
OpenAlex ID: W2925773454
cites work: Q3568481
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q3141902
cites work: Applications of fractional calculus in physics
cites work: Fractals and fractional calculus in continuum mechanics
cites work: Approximations of solutions for an impulsive fractional differential equation with a deviated argument
cites work: Approximate analytical solution of a coupled system of fractional partial differential equations by Bernstein polynomials
cites work: Numerical method based on Galerkin approximation for the fractional advection-dispersion equation
cites work: An efficient solution for stochastic fractional partial differential equations with additive noise by a meshless method
cites work: A decomposition method for solving the fractional Davey-Stewartson equations
cites work: Successive approximation: a survey on stable manifold of fractional differential systems
cites work: Reanalysis of an open problem associated with the fractional Schrödinger equation
cites work: A novel operational matrix method for solving singularly perturbed boundary value problems of fractional multi-order
cites work: Numerical methods and analysis for a class of fractional advection-dispersion models
cites work: A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
cites work: Q4625333
cites work: Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: Convergence order estimates of meshless collocation methods using radial basis functions
cites work: Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
cites work: Multivariate Interpolation and Conditionally Positive Definite Functions. II
cites work: Interpolation in the limit of increasingly flat radial basis functions
cites work: The Runge phenomenon and spatially variable shape parameters in RBF interpolation
cites work: A meshfree method based on radial basis functions for the eigenvalues of transient Stokes equations
cites work: Computing a numerical solution of two dimensional non-linear Schrödinger equation on complexly shaped domains by RBF based differential quadrature method
cites work: Stability and convergence of radial basis function finite difference method for the numerical solution of the reaction-diffusion equations
cites work: A meshless method for numerical solution of the coupled Schrödinger-KdV equations
cites work: The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods
cites work: A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems
cites work: A stable Gaussian radial basis function method for solving nonlinear unsteady convection-diffusion-reaction equations
cites work: An implicit RBF meshless approach for time fractional diffusion equations
cites work: An advanced meshless method for time fractional diffusion equation
cites work: Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method
cites work: An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
cites work: Q4966956
cites work: Q5233633
cites work: Solving a system of nonlinear integral equations by an RBF network
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method
cites work: A fully discrete difference scheme for a diffusion-wave system
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
DOI: 10.1007/S40819-019-0635-X
description: scientific article; zbMATH DE number 7046099