Computational Method for the Simulation of Duffing Oscillators

J. Sunday *

Department of Mathematics, Adamawa State University, Mubi, Nigeria

D. J. Zirra

Department of Mathematics, Adamawa State University, Mubi, Nigeria

S. E. Gandafa

Department of Mathematics, Adamawa State University, Mubi, Nigeria

*Author to whom correspondence should be addressed.


Abstract

A one-step computational method is proposed for the simulation of Duffing oscillators in this research. In achieving this, power series was adopted as a basis function in the derivation of the method. The integration was carried out within a one-step interval, where the interval was partitioned at four different points. The computational method developed was applied on some Duffing equations and from the results obtained; it was evident that the method developed is computationally reliable.

 

Keywords: Computational method, damping, Duffing oscillator, nonlinear, simulations


How to Cite

Sunday, J., D. J. Zirra, and S. E. Gandafa. 2017. “Computational Method for the Simulation of Duffing Oscillators”. Advances in Research 11 (3):1-12. https://doi.org/10.9734/AIR/2017/36133.