Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods

DOI: 10.4236/ajcm.2013.33027   PDF   HTML     2,810 Downloads   4,650 Views  

Abstract

In this paper, quadratic nonlinear oscillators under stochastic excitation are considered. The Wiener-Hermite expansion with perturbation (WHEP) method and the homotopy perturbation method (HPM) are used and compared. Different approximation orders are considered and statistical moments are computed in the two methods. The two methods show efficiency in estimating the stochastic response of the nonlinear differential equations.

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A. Al-Johani, "Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods," American Journal of Computational Mathematics, Vol. 3 No. 3, 2013, pp. 185-194. doi: 10.4236/ajcm.2013.33027.

Conflicts of Interest

The authors declare no conflicts of interest.

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