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A note on He’s homotopy perturbation method for van der Pol oscillator with very strong nonlinearity

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  • Öziş, Turgut
  • Yıldırım, Ahmet

Abstract

In this paper, He’s homotopy perturbation method combined with averaging is applied to van der Pol oscillator with very strong nonlinearity. The result reveals that approximation obtained by this approach is valid uniformly even for very large parameters and is more accurate than straightforward expansion solution.

Suggested Citation

  • Öziş, Turgut & Yıldırım, Ahmet, 2007. "A note on He’s homotopy perturbation method for van der Pol oscillator with very strong nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 989-991.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:3:p:989-991
    DOI: 10.1016/j.chaos.2006.04.013
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    References listed on IDEAS

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    1. He, Ji-Huan, 2005. "Limit cycle and bifurcation of nonlinear problems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 827-833.
    2. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
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    Cited by:

    1. Golbabai, A. & Keramati, B., 2008. "Modified homotopy perturbation method for solving Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1528-1537.
    2. Biazar, J. & Ghazvini, H. & Eslami, M., 2009. "He’s homotopy perturbation method for systems of integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1253-1258.
    3. Biazar, J. & Eslami, M. & Aminikhah, H., 2009. "Application of homotopy perturbation method for systems of Volterra integral equations of the first kind," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3020-3026.
    4. Golbabai, A. & Keramati, B., 2009. "Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2316-2321.

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