The Duffing Oscillator: Applications and Computational Simulations
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 2, Issue 3
Abstract
Duffing oscillator (or Duffing Equation) is one of the most significant and classical nonlinear ordinary differential equations in view of its diverse applications in science and engineering. This paper attempts to study some applications of Duffing oscillator and also develop an alternative computational method that may be used to simulate it. In developing the computational method for simulating the Duffing oscillator, power series was adopted as the basis function with the integration carried out within a one-step interval. The computational method developed was applied on some modeled Duffing oscillators and from the results obtained; it is evident that the method developed is computationally reliable.
Authors and Affiliations
J. Sunday
Keywords
Related Articles
- EP ID EP338414
- DOI 10.9734/ARJOM/2017/31199
- Views 84
- Downloads 0
Combination of Ramadan Group and Reduced Differential Transforms for Partial Differential Equations with Variable Coefficients
In this article, an analytical technique is provided to solve partial differential equations with variable coefficients. This technique is a combination of the integral transform known as Ramadan group integral transform...
Effect of Variable Axial Force on the Deflection of Thick Beam Under Distributed Moving Load
The effect of variable axial force on the deflection of thick beam under moving load is investigated in this research work. In order to obtain solution to the dynamic problem, a technique base on the method of Galerkin w...
Five Points Mono Hybrid Point Linear Multistep Method for Solving Nth Order Ordinary Differential Equations Using Power Series Function
In this paper, a class of five point’s mono hybrid linear multistep method for solving nth order ordinary differential equations has been developed. In the derivation, Power series approximation was used as basic functi...
Invariant Compact Sets of Nonexpansive Iterated Function Systems
In this work we prove the existence of invariant compact sets under the action of nonexpansive iterated functions systems on normed spaces. We generalized the previous result to convex metric spaces and we also show that...
Epidemic Model Formulation, Analysis and Simulation of Rotavirus Diarrhea for Prevention
Aims: Practical employment of epidemic models for rotavirus diarrhea is the aim of the study so that prevention is attained more swiftly thus reducing global disease burdens, mortality rates and financial burdens due to...