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Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation
Journal article   Open access  Peer reviewed

Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation

Magdy A. El-Tawil and Noha A. Al-Mulla
Mathematical and computer modelling, Vol.51(9), pp.1277-1284
01/05/2010

Abstract

Homotopy perturbation Homotopy WHEP Nonlinear diffusion equation WHEP technique
In this paper, the diffusion equation under square and cubic nonlinearities and stochastic nonhomogeneity is solved using the Homotopy WHEP technique. The homotopy perturbation method is introduced in the WHEP technique to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation by making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies and figures.
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https://doi.org/10.1016/j.mcm.2010.01.013View
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