Journal of
Mechanical Engineering Research

  • Abbreviation: J. Mech. Eng. Res.
  • Language: English
  • ISSN: 2141-2383
  • DOI: 10.5897/JMER
  • Start Year: 2009
  • Published Articles: 118

Full Length Research Paper

Variational iteration algorithm-II for solving the system of third order non-linear integro-differential equations

  Yasir Khan1*, Yasir Nawaz2 and Naeem Faraz2    
  1Department of Mathematics, Zhejiang University, Hangzhou 310027, China. 2Modern Textile Institute, Donghua University, 1882 Yan’an Xilu Road, Shanghai 200051, China.
Email: [email protected]

  •  Accepted: 19 January 2011
  •  Published: 30 November 2012

Abstract

 

Variational iteration method is widely used for solving nonlinear, integro-differential equations. Through careful investigation of the iteration formulas of the earlier variational iteration algorithm (VIM), we find unnecessary repeated calculations in each iteration. To overcome this shortcoming, the variational iteration algorithm-II (He et al., 2010) will be used in this paper to solve the system of non linear integro-differential equations. Beside this, the comparison of the exact solution with approximated solution by VIM-II is illustrated by the graphs. Several examples are given to verify the reliability and efficiency of the method.

 

Key words: Variational iteration algorithm-II (VIM), system of nonlinear integro-differential equations.