Numerical solutions of the space-time fractional advection-dispersion equation
type: Item
instance of: scholarly article
title: Numerical solutions of the space-time fractional advection-dispersion equation
zbMATH Open document ID: 1148.76044
author: Shaher Momani
author: Zaid M. Odibat
published in: Numerical Methods for Partial Differential Equations
publication date: 2008-11-19T00:00:00Z
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 5368926
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: variational iteration method
zbMATH Keywords: Adomian decomposition method
MaRDI profile type: Publication
full work available at URL: num.20324
OpenAlex ID: W2066016807
Wikidata QID: Q115398597
cites work: Approximate analytical solution for seepage flow with fractional derivatives in porous media
cites work: Fractals and fractional calculus in continuum mechanics
cites work: Time fractional advection-dispersion equation
cites work: The fundamental solution of the space-time fractional advection-dispersion equation
cites work: A review of the decomposition method in applied mathematics
cites work: Solving frontier problems of physics: the decomposition method
cites work: Variational iteration method for delay differential equations
cites work: Approximate solution of nonlinear differential equations with convolution product nonlinearities
cites work: Variational iteration method -- a kind of non-linear analytical technique: Some examples
cites work: Variational iteration method for autonomous ordinary differential systems
cites work: An iteration formulation for normalized diode characteristics
cites work: Comparing numerical methods for the solutions of systems of ordinary differential equations.
cites work: An approximate solution for a fractional diffusion-wave equation using the decomposition method
cites work: Analytic and approximate solutions of the space- and time-fractional telegraph equations
cites work: An explicit and numerical solutions of the fractional KdV equation
cites work: Non-perturbative analytical solutions of the space- and time-fractional Burgers equations
cites work: Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
cites work: An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations
cites work: Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method
cites work: Search for variational principles in electrodynamics by Lagrange method
cites work: Application of He's variational iteration method to Helmholtz equation
cites work: Application of variational iteration method to nonlinear differential equations of fractional order
cites work: Numerical comparison of methods for solving linear differential equations of fractional order
cites work: Q3141902
cites work: On the Evaluation of Certain Sums Involving the Natural Numbers Raised to an Arbitrary Power
cites work: Q4438574
cites work: Convergence of Adomian's Method
cites work: Decomposition methods: A new proof of convergence
cites work: Variational Theory for Linear Magneto-Electro-Elasticity
DOI: 10.1002/NUM.20324
Recommended article: A numerical scheme for space-time fractional advection-dispersion equation
Recommended article: Q3609104
Recommended article: A novel numerical approximation for the space fractional advection-dispersion equation
Recommended article: Numerical analysis of a new space-time variable fractional order advection-dispersion equation
Recommended article: Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term
Recommended article: Analytical solutions of the space-time fractional derivative of advection dispersion equation
Recommended article: Analytical and numerical solutions of time and space fractional advection-diffusion-reaction equation
Recommended article: An analytic algorithm for the space-time fractional advection-dispersion equation
Recommended article: The fundamental solution of the space-time fractional advection-dispersion equation
Recommended article: Q5318575
description: scientific article