Statistical measures approximations for the Gaussian part of the stochastic nonlinear damped Duffing oscillator solution process under the application of Wiener Hermite expansion linked by the multi-step differential transformed method

In this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical measures (mean and variance) of the first order stochastic approximation (Gaussian part) of the stochastic solution processes related to the nonlinear damped Duffing oscillator model which is excited randoml...

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Bibliographic Details
Main Authors: R.A. Zait, A.A. El-Shekhipy, N.M. Abdo
Format: Article
Language:English
Published: SpringerOpen 2016-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X15000838