Staff Members - Benha University
Solution of stochastic cubic and quintic nonlinear diffusion equation using WHEP, Pickard and HPM methods
• 2012
Publication Information
Authors
Magdy A El-Tawil, Aisha F Fareed
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publication.type
International
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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 ...
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 ...