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Statistical Study of the Stochastic Solution Processes of Stochastic Navier-Stokes Equations Using Homotopy-WHEP Technique
Journal: Journal of Computer Science & Computational Mathematics (Vol.1, No. 4)Publication Date: 2011-12-31
Authors : Magdy A. El-Tawil Abdel-Hafeez A. El-Shekhipy;
Page : 19-30
Keywords : Stochastic Navier stokes equations; homotopy WHEP technique; Wiener–Hermite Expansion (WHE); homotopy perturbation method (HPM); averages; variance;
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Abstract
This paper indicates the application of the HomotopyWHEP method to find an approximate for the statistical moments of the stochastic solution processes of 2-D Navier-Stokes equations under the effect of a stochastic excitation. Some cases studies from the results of this method are considered to illustrate some corrections.
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