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Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method

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  • Muhammad Suleman
  • Qingbiao Wu

Abstract

We use modified homotopy perturbation method to find out the solution of nonlinear cubic quintic equation. Besides this method solution of the problem with the following methods is discussed, Energy Balance Method and He’s Frequency Formulation method and then compare the results with each other and Global Error Method. The results show that these three methods are effective as global error method for nonlinear cubic quintic oscillator equation with multiple nonlinear terms and have different effects on the solution. In particular, the homotopy perturbation solution is quite surprising. A cubic quintic nonlinear oscillator is used as an example to compare the results.

Suggested Citation

  • Muhammad Suleman & Qingbiao Wu, 2015. "Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-5, June.
    • Handle: RePEc:hin:jnlamp:932905
    DOI: 10.1155/2015/932905
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    Cited by:

    1. He, Ji-Huan & Jiao, Man-Li & Gepreel, Khaled A. & Khan, Yasir, 2023. "Homotopy perturbation method for strongly nonlinear oscillators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 243-258.

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