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Nonlinear oscillator with discontinuity by parameter-expansion method

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  • Wang, Shu-Qiang
  • He, Ji-Huan

Abstract

The parameter-expansion method is applied to a nonlinear oscillator with discontinuity. One iteration is sufficient to obtain a highly accurate solution, which is valid for the whole solution domain. Comparison of the obtained solution with the exact one shows that the method is very effective and convenient.

Suggested Citation

  • Wang, Shu-Qiang & He, Ji-Huan, 2008. "Nonlinear oscillator with discontinuity by parameter-expansion method," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 688-691.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:688-691
    DOI: 10.1016/j.chaos.2007.07.055
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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 & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    3. Cveticanin, L., 2006. "Homotopy–perturbation method for pure nonlinear differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1221-1230.
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    Cited by:

    1. Kaya, M.O. & Altay Demirbağ, S., 2009. "Application of parameter expansion method to the generalized nonlinear discontinuity equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1967-1973.
    2. Zeng, De-Qiang, 2009. "Nonlinear oscillator with discontinuity by the max–min approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2885-2889.
    3. Ramos, J.I., 2009. "An artificial parameter–Linstedt–Poincaré method for oscillators with smooth odd nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 380-393.

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