Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483398 | Journal of the Egyptian Mathematical Society | 2016 | 12 Pages |
Abstract
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 randomly by white noise process. Under the application of WHE, a deterministic model is generated to simulate the statistical measures. In next stages, smi-analytical treatments are performed under applying multi-step differential transformed method (Ms-DTM) and some cases study are illustrated related to the statistical properties using Mathematica10 software.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
R.A. Zait, A.A. El-Shekhipy, N.M. Abdo,