International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Using homotopy analysis method to obtain approximate analytical solutions of wave equations

Reza Ezzati* and Masomeh Aqhamohamadi
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Email: [email protected]

  •  Accepted: 20 June 2011
  •  Published: 04 August 2011

Abstract

The homotopy analysis method (HAM) is proposed for solving wave equations. By using the HAM, an approximate solution is as series which contains the auxiliary parameter . In this way,  provides us with a simple way to adjust and control the convergence region of series solution. This method has a reasonable residual error and in some cases has an exact solution. Some examples are employed to illustrate validity and flexibility of this method.

 

Key words: Homotopy analysis method, wave equation, analytic methods.

Abbreviation

HAM, Homotopy analysis method.

Copyright © 2024 Author(s) retain the copyright of this article.

This article is published under the terms of the Creative Commons Attribution License 4.0

Back to Vol. 6 No. 15
Back to articles
  • Articles on Google by:
SUBSCRIBE TO RSS
SUBMIT MANUSCRIPT
CONFERENCES