The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations

Authors:
Abdul-Majid Wazwaz
Affiliations:
Department of Mathematics, Saint Xavier University, 3700West 103rd Street, Chicago, IL 60655, United States
Venue:
Computers & Mathematics with Applications
Year:
2007

Citing 9
Cited 5

Necessary conditions for the appearance of noise terms in decomposition solutions series

Applied Mathematics and Computation
Analytical approximations and Padé approximants for Volterra's population model

Applied Mathematics and Computation
A new algorithm for calculating Adomian polynomials for nonlinear operators

Applied Mathematics and Computation
Variational iteration method for autonomous ordinary differential systems

Applied Mathematics and Computation
A new method for solving singular initial value problems in the second-order ordinary differential equations

Applied Mathematics and Computation
Variational iteration method for solving Burger's and coupled Burger's equations

Journal of Computational and Applied Mathematics
A comparison between the variational iteration method and Adomian decomposition method

Journal of Computational and Applied Mathematics
Variational iteration method-Some recent results and new interpretations

Journal of Computational and Applied Mathematics
The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations

Journal of Computational and Applied Mathematics

Exact solution of the heat equation with boundary condition of the fourth kind by He's variational iteration method

Computers & Mathematics with Applications
The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics

Computers & Mathematics with Applications
The variational iteration method for Cauchy problems

Computers & Mathematics with Applications
Reliable approaches of variational iteration method for nonlinear operators

Mathematical and Computer Modelling: An International Journal
A study on the convergence of variational iteration method

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this work, He's variational iteration method (VIM) is used for analytic treatment of the linear and the nonlinear wave equations in bounded and unbounded domains. Wave-like equations are also investigated. The method is capable of reducing the size of calculation and easily overcomes the difficulty of the perturbation technique or Adomian polynomials. The study highlights the power of the VIM method.