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Approximate Periodic Solutions for Oscillatory Phenomena Modelled by Nonlinear Differential Equations

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  • Constantin Bota
  • Bogdan Căruntu
  • Olivia Bundău

Abstract

We apply the Fourier-least squares method (FLSM) which allows us to find approximate periodic solutions for a very general class of nonlinear differential equations modelling oscillatory phenomena. We illustrate the accuracy of the method by using several significant examples of nonlinear problems including the cubic Duffing oscillator, the Van der Pol oscillator, and the Jerk equations. The results are compared to those obtained by other methods.

Suggested Citation

  • Constantin Bota & Bogdan Căruntu & Olivia Bundău, 2014. "Approximate Periodic Solutions for Oscillatory Phenomena Modelled by Nonlinear Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, April.
    • Handle: RePEc:hin:jnlmpe:513473
    DOI: 10.1155/2014/513473
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