Solving Nonlinear Stochastic Diffusion Models with Nonlinear Losses Using the Homotopy Analysis Method

Autor:	Aisha A. Fareed, Mohammed A. El-Beltagy, Hany N. Hassan, Magdy A. El-Tawil, Hanafy H. El-Zoheiry
Rok vydání:	2014
Předmět:	Nonlinear system Mathematical analysis Perturbation (astronomy) General Medicine Homotopy perturbation method Stochastic solution Nonlinear differential equations Homotopy analysis method Mathematics
Zdroj:	Applied Mathematics. :115-127
ISSN:	2152-7393 2152-7385
DOI:	10.4236/am.2014.51014
Popis:	This paper deals with the construction of approximate series solutions of diffusion models with stochastic excitation and nonlinear losses using the homotopy analysis method (HAM). The mean, variance and other statistical properties of the stochastic solution are computed. The solution technique was applied successfully to the 1D and 2D diffusion models. The scheme shows importance of choice of convergence-control parameter to guarantee the convergence of the solutions of nonlinear differential Equations. The results are compared with the Wiener-Hermite expansion with perturbation (WHEP) technique and good agreements are obtained.
Databáze:	OpenAIRE
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