Using Homotopy-WHEP Technique in Solving Nonlinear Diffusion Equation with Stochastic No Homogeneity

In this paper, the diffusion equation under square and cubic nonlinearities and stochastic no homogeneity is solved using the Homotopy-WHEP technique. The use of the homotopy perturbation method in WHEP technique is introduced to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation with making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies.

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