Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation
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. (C) 2010 Elsevier Ltd. All rights reserved.
homotopy whep whep technique nonlinear diffusion equation homotopy perturbation