M. El-Tawil and G. Mahmoud, “The Solvability of Parametrically Forced Oscillators Using WHEP Technique,” Mechanics and Mechanical Engineering, Vol. 3, No. 2, 1999, pp. 181-188.
has been cited by the following article:
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.