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A new analytical approximation to the Duffing-harmonic oscillator

Author

Listed:
  • Fesanghary, M.
  • Pirbodaghi, T.
  • Asghari, M.
  • Sojoudi, H.

Abstract

In this paper, a novel analytical approximation to the nonlinear Duffing-harmonic oscillator is presented. The variational iteration method (VIM) is used to obtain some accurate analytical results for frequency. The accuracy of the results is excellent in the whole range of oscillation amplitude variations.

Suggested Citation

  • Fesanghary, M. & Pirbodaghi, T. & Asghari, M. & Sojoudi, H., 2009. "A new analytical approximation to the Duffing-harmonic oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 571-576.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:571-576
    DOI: 10.1016/j.chaos.2009.01.024
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    References listed on IDEAS

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    1. Javidi, M. & Jalilian, Y., 2008. "Exact solitary wave solution of Boussinesq equation by VIM," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1256-1260.
    2. Inc, Mustafa, 2007. "Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1075-1081.
    3. Batiha, B. & Noorani, M.S.M. & Hashim, I., 2008. "Application of variational iteration method to the generalized Burgers–Huxley equation," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 660-663.
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