TITLE:
Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods
AUTHORS:
Amnah S. Al-Johani
KEYWORDS:
Nonlinear Stochastic Differential Equations; Wiener-Hermite Expansion; WHEP Technique; Homotopy Perturbation Method
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.3 No.3,
August
14,
2013
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.