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