Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation

Authors:
Magdy A. El-Tawil;Noha A. Al-Mulla
Affiliations:
Cairo University, Faculty of Engineering, Engineering Mathematics Department, Giza, Egypt;King Faisal University, Faculty of Science, Mathematics Department, Dammam, Saudi Arabia
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 3
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On the coupling of the homotopy perturbation method and Laplace transformation

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Abstract

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.