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Homotopy perturbation method for nonlinear oscillator equations

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  • Cai, Xu-Chu
  • Wu, Wen-Ying

Abstract

In this letter, the homotopy perturbation method is applied to nonlinear oscillations. It is demonstrated that the solution procedure is of deceptively simplicity and the obtained insightful solutions are of high accuracy even with the first-order approximation.

Suggested Citation

  • Cai, Xu-Chu & Wu, Wen-Ying, 2009. "Homotopy perturbation method for nonlinear oscillator equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2581-2583.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2581-2583
    DOI: 10.1016/j.chaos.2008.09.036
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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.
    3. Cveticanin, L., 2006. "Homotopy–perturbation method for pure nonlinear differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1221-1230.
    4. Abbasbandy, S., 2006. "Application of He’s homotopy perturbation method for Laplace transform," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1206-1212.
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