Solving Nonlinear Diffusion Equations without Stochastic Homogeneity Using the Homotopy Perturbation Method

被引：0

作者：

El-Tawil, Magdy A. ^{[1
]}

Al-Mulla, Noha ^{[2
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Math, Giza 12211, Egypt

[2] King Faisal Univ, Fac Sci, Dept Math, Dammam, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2009年 / 10卷 / 05期

关键词：

HEAT-EQUATION; NOISE;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the diffusion equations under square and cubic nonlinearities without stochastic homogeneity are solved using the homotopy perturbation method (HPM). The solution average is computed up to fourth order approximation while the covariance is computed up to second order approximation only. The method of analysis is illustrated through case studies and figures.

引用

页码：687 / 698

页数：12

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