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Integration using He’s homotopy perturbation method

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  • Chun, Changbum

Abstract

Complicated integrals are difficult to solve, and cannot be expressed in terms of elementary functions or analytical formulae. This paper applies He’s homotopy perturbation method to overcome such difficulty, and obtains a general formula to calculate the Laplace transform. Some examples are given, revealing its effectiveness and convenience.

Suggested Citation

  • Chun, Changbum, 2007. "Integration using He’s homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1130-1134.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:4:p:1130-1134
    DOI: 10.1016/j.chaos.2006.04.019
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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. Momani, Shaher & Abuasad, Salah, 2006. "Application of He’s variational iteration method to Helmholtz equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1119-1123.
    3. 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.
    4. 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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