Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method
type: Item
instance of: scholarly article
title: Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method
zbMATH Open document ID: 1189.65245
author: J. Biazar
author: M. Gholami Porshokuhi
author: Behzad Ghanbari
publication date: 2010-06-28T00:00:00Z
Mathematics Subject Classification ID: 65M99
zbMATH DE Number: 5727636
zbMATH Keywords: linear and nonlinear operators
zbMATH Keywords: Adomian decomposition method
zbMATH Keywords: Adomian polynomials
zbMATH Keywords: the variational iteration method
MaRDI profile type: Publication
full work available at URL: j.camwa.2009.11.001
OpenAlex ID: W2007380962
cites work: A review of the decomposition method in applied mathematics
cites work: Solving frontier problems of physics: the decomposition method
cites work: A new approach to nonlinear partial differential equations
cites work: Variational iteration method -- a kind of non-linear analytical technique: Some examples
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: Exp-function method for nonlinear wave equations
cites work: New periodic solutions for nonlinear evolution equations using Exp-function method
cites work: SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
cites work: Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
cites work: Solution of systems of integral-differential equations by Adomian decomposition method
cites work: Solution of wave equation by Adomian decomposition method and the restrictions of the method.
cites work: Adomian decomposition method for a reliable treatment of the Bratu-type equations
cites work: An approximation to the solution of hyperbolic equations by Adomian decomposition method and comparison with characteristics method
cites work: A comparison between the variational iteration method and Adomian decomposition method
cites work: On the order of convergence of Adomian method.
cites work: Variational iteration method for delay differential equations
cites work: Solution of a model describing biological species living together using the variational iteration method
cites work: He's variational iteration method for fourth-order parabolic equations
cites work: The variational iteration method for rational solutions for KdV, \(K(2,2)\), Burgers, and cubic Boussinesq equations
cites work: Variational iteration method for solving Burgers and coupled Burgers equations
cites work: Application of He's variational iteration method to Helmholtz equation
cites work: On the convergence of He's variational iteration method
cites work: The variational iteration method for solving two forms of Blasius equation on a half-infinite domain
DOI: 10.1016/J.CAMWA.2009.11.001
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5727636