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 65
- Downloads 0
Hypothesis Testing for Fractional Stochastic Partial Di erential Equations with Applications to Neurophysiology and Finance
The paper obtains explicit form of fine large deviation theorems for the log-likelihood ratio in testing fractional stochastic partial differential equation models using a finite number of Fourier coefficients of the sol...
Pre-SHS Students’ Perception of Difficult Concepts in Junior High School Mathematics Curriculum in Ghana
This study employed the survey research design aimed at investigating difficult concepts in Junior Secondary School mathematics curriculum as perceived by Pre-Senior High School students in Ghana. The study was guided by...
Remedial Students’ Perception of Difficult Concepts in Senior High School Core Mathematics Curriculum in Ghana
This study employed the survey research design aimed at investigating perceived difficult concepts in senior secondary school core mathematics curriculum by remedial students in Ghana. The study was guided by two researc...
Topologized Bipartite Graph
Let G be bipartite graph with V vertices and E edges. A topological space X is a topologized graph if it satisfies the following conditions: Every singleton is open or closed. ∀x∈X, ∣∂(x)∣≤2, where ∂(x) is a boundary...
Radiation Effect with Eckert Number and Forchimer Number on Heat and Mass Transfer over an Inclined Plate in the Influence of Suction/Injection Flow
In the present context, the effect of Eckert number and Forchimer number on a two dimensional steady free convective heat and mass transfer flow of an electrically conducting fluid through a porous medium with radiation...