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Approximate solution of a mixed nonlinear stochastic oscillator
Journal article   Open access  Peer reviewed

Approximate solution of a mixed nonlinear stochastic oscillator

M.A. El-Tawil and Amna S. Al-Johani
Computers & mathematics with applications (1987), Vol.58(11), pp.2236-2259
01/12/2009
DOI: https://doi.org/10.1016/j.camwa.2009.03.057

Abstract

Homotopy perturbation Mathematica Nonlinear stochastic differential equations WHEP technique Wiener–Hermite expansion
In this paper, nonlinear oscillators under mixed quadratic and cubic nonlinearities with stochastic inputs are considered. Different methods are used to obtain second order approximations, namely; the Wiener–Hermite and perturbation (WHEP) technique and the homotopy perturbation method (HPM). Some statistical moments are computed for the different methods using mathematica 5. Comparisons are illustrated through figures for different case-studies.
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https://doi.org/10.1016/j.camwa.2009.03.057View
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