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publication name Solution of stochastic cubic and quintic nonlinear diffusion equation using WHEP, Pickard and HPM methods
Authors Magdy A El-Tawil, Aisha F Fareed
year 2012
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Abstract

In this paper, the cubic and quintic diffusion equation under stochastic non homogeneity is solved using Wiener-Hermite expansion and perturbation (WHEP) technique, Homotopy perturbation method (HPM) and Pickard approximation technique. The analytic solution of the linear case is obtained using Eigenfunction expansion. The Picard approximation method is used to introduce the first and second order approximate solution for the non linear case. The WHEP technique is also used to obtain approximate solution under ...

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