A Simple Numerical Method For Van der Pol-Duffing Oscillator Equation
Chengli Zhang, Yun Zeng
Available Online March 2014.
- https://doi.org/10.2991/mce-14.2014.106How to use a DOI?
- Van der Pol-Duffing; nonlinear;linearization; segmenting method; recursion method
- The famous Van der Pol-Duffing oscillator is a typical nonlinear oscillator, its accurate analytical solution can not yet directly be got now. The segmenting recursion method was put forward in this paper, the oscillator equation was reasonably linearized within small segment, then the approximate analytical solutions within small segment were got, and the recursion formulas were obtained, finally all numerical solutions were got by the recursion formulas. The numerical solutions of several Van der Pol-Duffing oscillator equation were got by means of the segmenting recursion method, and the numerical solutions were compared with Runge-Kutta method or Gear linear multistep method. The comparative results show that the segmenting recursion method is very effective to solve Van der Pol-Duffing oscillator equation, not only method is simple, programming is easy, butresult is accurate, this method is a universal new method to solve similar oscillator.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Chengli Zhang AU - Yun Zeng PY - 2014/03 DA - 2014/03 TI - A Simple Numerical Method For Van der Pol-Duffing Oscillator Equation BT - 2014 International Conference on Mechatronics, Control and Electronic Engineering (MCE-14) PB - Atlantis Press SP - 476 EP - 480 SN - 1951-6851 UR - https://doi.org/10.2991/mce-14.2014.106 DO - https://doi.org/10.2991/mce-14.2014.106 ID - Zhang2014/03 ER -