Subscribe Now Subscribe Today
Science Alert
 
Blue
   
Curve Top
Journal of Applied Sciences
  Year: 2008 | Volume: 8 | Issue: 1 | Page No.: 120-126
DOI: 10.3923/jas.2008.120.126
 
Facebook Twitter Digg Reddit Linkedin StumbleUpon E-mail

Variational Iteration Method and Homotopy-Perturbation Method for Solving Different Types of Wave Equations

A. Barari, Abdoul R. Ghotbi, F. Farrokhzad and D.D. Ganji

Abstract:
Due to wide range of interest in use of wave equations to gain insight in to vibrating problems, Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM) are employed to approximate the solution of the three types of wave equations including one-dimensional wave equation, kinematic wave equation and non-linear homogeneous wave equation. The final results obtained by HPM and VIM are compared with those results obtained from the exact solution. The comparison shows a precise agreement between the results and introduces these new methods as the applicable methods which they need less computations and are much easier and more convenient than other approximate methods, so they can be widely used in engineering.
PDF Fulltext XML References Citation Report Citation
 RELATED ARTICLES:
  •    A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations
  •    Evaluating the Ability of Modified Adomian Decomposition Method to Simulate the Instability of Freestanding Carbon Nanotube: Comparison with Conventional Decomposition Method
  •    Efficiency of Modified Adomian Decomposition for Simulating the Instability of Nano-electromechanical Switches: Comparison with the Conventional Decomposition Method
How to cite this article:

A. Barari, Abdoul R. Ghotbi, F. Farrokhzad and D.D. Ganji, 2008. Variational Iteration Method and Homotopy-Perturbation Method for Solving Different Types of Wave Equations. Journal of Applied Sciences, 8: 120-126.

DOI: 10.3923/jas.2008.120.126

URL: https://scialert.net/abstract/?doi=jas.2008.120.126

COMMENT ON THIS PAPER
 
 
 

 

 
 
 
 
 
 
 
 
 

 
 
 
 
 
 
 

Curve Bottom