Subscribe Now Subscribe Today
Science Alert
 
Blue
   
Curve Top
Journal of Applied Sciences
  Year: 2008 | Volume: 8 | Issue: 2 | Page No.: 369-373
DOI: 10.3923/jas.2008.369.373
 
Facebook Twitter Digg Reddit Linkedin StumbleUpon E-mail

Variational Iteration Method and Homotopy-Perturbation Method for Solving Burgers Equation in Fluid Dynamics

R. Noorzad, A. Tahmasebi Poor and M. Omidvar

Abstract:
Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM) are employed to approximate the solution of the Burgers equation which is a one-dimensional non-linear partial differential equation in fluid dynamics. The explicit solutions obtained were compared with the exact solutions. While the exact solution was not available for viscosity smaller than 0.01, it was shown that mathematical structure of the equation for the obtained explicit solutions did not decay. The results reveal that the HPM and VIM are very effective, convenient and quite accurate to systems of partial differential equations. It is predicted that the HPM and VIM can be found widely applicable in engineering.
PDF Fulltext XML References Citation Report Citation
 RELATED ARTICLES:
  •    Perturbation Method as a Powerful Tool to Solve Highly Nonlinear Problems: The Case of Gelfand’s Equation
  •    A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations
  •    An Approximate Solution of Blasius Equation by using HPM Method
  •    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:

R. Noorzad, A. Tahmasebi Poor and M. Omidvar, 2008. Variational Iteration Method and Homotopy-Perturbation Method for Solving Burgers Equation in Fluid Dynamics. Journal of Applied Sciences, 8: 369-373.

DOI: 10.3923/jas.2008.369.373

URL: https://scialert.net/abstract/?doi=jas.2008.369.373

COMMENT ON THIS PAPER
 
 
 

 

 
 
 
 
 
 
 
 
 

 
 
 
 
 
 
 

Curve Bottom