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Homotopy Perturbation Method based on Orthogonal Polynomials

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초록

In this paper, the homotopy perturbation method (HPM) on the basis of orthogonal polynomials is applied for solving nonlinear ordinary differential equations. Comparison between homotopy perturbation method based on Legendre, Chebyshev and Taylor expansions is performed by solving some nonlinear differential equations, using them.

Abstract

Homotopy Perturbation Method, Legendre polynomials, Chebyshev polynomials,nonlinear differential equations.

참고문헌 (11)

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  8. A. Ghorbani, "He;s Homotopy Perturbation Method For Calculating Adomian;s Polynomials", Int. J. Nonlinear Sci. Numer. Simul, 8(2), pp.229~232 (2007)
  9. A. Ghorbani, "Beyond Adomian Polynomials", He Polynomials, Chaos, Solitons, and Fractals, 39(3), pp.1486~1492 (2009)
  10. E. Kreyszig, "Advanced Engineering Mathematics" (1999), Wiley
  11. W. C. Tien, "Adomian Decomposition Method by Legendre Polynomials", Chaos, Solitions and Fractals, 39(5), pp.2093~2101 (2009)

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