Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation

被引：10
作者：
El-Tawil, Magdy A. [1 ]
Al-Mulla, Noha A. [2 ]
机构：
[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12211, Egypt
[2] King Faisal Univ, Fac Sci, Dept Math, Dammam, Saudi Arabia
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 51卷 / 9-10期
关键词：
Homotopy perturbation; WHEP technique; Nonlinear diffusion equation; Homotopy WHEP; WIENER-HERMITE EXPANSION; PERTURBATION TECHNIQUE;
D O I：
10.1016/j.mcm.2010.01.013
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
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.
引用
收藏
页码：1277 / 1284
页数：8
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