J4 ›› 2010, Vol. 48 ›› Issue (1): 50-51.

Previous Articles     Next Articles

A New Kind of Iteration Method for Finding ApproximatePeriodic Solutions to Ordinary Differential Equations

WU Dongxu1, ZHANG Li2, WANG Cailing3, XU Xu3   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. Department of Foundation, Aviation University of Air Force, Changchun 130022, China;3. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2009-12-24 Online:2010-01-26 Published:2010-01-27
  • Contact: WU Dongxu E-mail:dxwu19810712@163.com

Abstract:

A new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to find approximate periodic solutions for some wellknown nonlinear problems. The most interesting features of the proposed method are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems.

Key words: iteration method, approximate periodic solution, ordinary differential equations

CLC Number: 

  • O175.8