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

Review

Variational iteration algorithm-II for solving linear and non-linear ODEs

Y. Khan1, H. Vázquez-Leal2*, L. Hernandez-Martínez3 and N. Faraz4       
1Department of Mathematics, Zhejiang University, Hangzhou 310027, China. 2School of Electronic Instrumentation, University of Veracruz, Xalapa, Mexico. 3Department of Electronics, National Institute for Astrophysics, Optics and Electronics, 72000 Tonantzintla, PUE, Mexico. 4Modern Textile Institute, Donghua University, 1882 Yan’an Xilu, Shanghai 200051, China.  
Email: [email protected]

  •  Accepted: 28 May 2012
  •  Published: 29 June 2012

Abstract

Variational iteration method is widely used for solving linear and non-linear ODE. In this paper, the variational iteration algorithm-II is constructed and some examples are given to show its simple solution procedure and high accuracy of the obtained results.

 

Key words: Variational iteration method, series solution, ordinary differential equations.