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Research Article Open access CC BY 4.0

Computational Method for the Simulation of Duffing Oscillators

J. Sunday, D. J. Zirra, S. E. Gandafa

Advances in Research · pp. 1–12 · Published 31 Aug 2017

10.9734/AIR/2017/36133

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.  

Computational method damping Duffing oscillator nonlinear simulations

References (12)

  1. 1 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields [DOI]
  2. 2 Variational iteration method for autonomous ordinary differential systems [DOI]
  3. 3 Numerical Methods for Ordinary Differential Systems: The Initial Value Problem
  4. 4 Numerical solution of Duffing equation by the Laplace decomposition algorithm [DOI]
  5. 5 Numerical Methods for Differential Equations [DOI]
  6. 6 Approximate solution for nonlinear Duffing oscillator with damping effect using the modified differential transform method [DOI]
  7. 7 Numerical integrators for stiff and highly oscillatory differential equations [DOI]
  8. 8 Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method [DOI]
  9. 9 The Duffing Oscillator: Applications and Computational Simulations [DOI]
  10. 10 The Application of Du-ng Oscillator in Weak Signal Detection
  11. 11 Continuous Hybrid Multistep Methods with Legendre Basis Function for Direct Treatment of Second Order Stiff ODEs
  12. 12 Numerical Methods for ODEs**Some of the methods in this section can be used for partial differential equations as well. These methods are indicated by a star (*). [DOI]

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