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He’s homotopy-perturbation method for solving higher-order boundary value problems

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  • Ravi Kanth, A.S.V.
  • Aruna, K.

Abstract

He’s homotopy-perturbation method (HPM) is presented for solving higher-order boundary value problems. Numerical examples are included to demonstrate the validity and applicability of the technique and a comparison is made with the existing results. The method is easy to implement and yields very accurate results.

Suggested Citation

  • Ravi Kanth, A.S.V. & Aruna, K., 2009. "He’s homotopy-perturbation method for solving higher-order boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1905-1909.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1905-1909
    DOI: 10.1016/j.chaos.2008.07.044
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    References listed on IDEAS

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    8. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
    9. Cveticanin, L., 2006. "Homotopy–perturbation method for pure nonlinear differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1221-1230.
    10. 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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    Cited by:

    1. Liu, Tao, 2022. "Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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