On the solution of stochastic oscillatory quadratic nonlinear equations using different techniques, a comparison study
Keywords
Nonlinear stochastic differential equations, Wiener-Hermite expansion, WHEP technique, homotopy perturbation, Pickard approximations, perturbation, Adomian decompositions, mathematicaAbstract
In this paper, nonlinear oscillators under quadratic nonlinearity with stochastic inputs are considered. Different methods are used to obtain first order approximations, namely the WHEP technique, the perturbation method, the Pickard approximations, the Adomian decompositions and the homotopy perturbation method (HPM). Some statistical moments are computed for the different methods using Mathematica 5. Comparisons are illustrated by figures for different case-studies.Downloads
Published
2008-06-01
How to Cite
1.
EL-TAWIL, Magdy A. and AL-JIHANY, Amna S. On the solution of stochastic oscillatory quadratic nonlinear equations using different techniques, a comparison study. Topological Methods in Nonlinear Analysis. Online. 1 June 2008. Vol. 31, no. 2, pp. 315 - 330. [Accessed 18 April 2024].
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