126
Views
8
CrossRef citations to date
0
Altmetric
Section B

Application of He's homotopy perturbation and He's variational iteration methods for solution of Benney–Lin equation

, &
Pages 1872-1884 | Received 12 Mar 2008, Accepted 26 Sep 2008, Published online: 09 Jul 2009
 

Abstract

In this paper, we study the Benney–Lin equation using He's homotopy perturbation method (HPM) and He's variational iteration method (VIM). We compare HPM and VIM methods and show that the results of the HPM method are in excellent agreement with the results of the VIM method and the obtained solutions are shown graphically. Several cases are considered to apply HPM and VIM, which demonstrate the reliability and efficiency of these two methods in solving such a complicated equation with various initial conditions.

2000 AMS Subject Classifications :

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,129.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.