A Numerical Study of the Nonlinear Reaction-Diffusion Equation with Different Type of Absorbent Term by Homotopy Analysis Method

被引：2

作者：

Gupta, Praveen Kumar ^{[1
]}

Verma, Swati ^{[1
]}

机构：

[1] Banasthali Univ, Ctr Math Sci, Dept Math & Stat, Banasthali 304022, India

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2012年 / 67卷 / 10-11期

关键词：

Homotopy Analysis Method; Nonlinear Reaction-Diffusion Equation; Partial Differential Equation; External Force; Reaction Term; POROUS-MEDIA; APPROXIMATION;

D O I：

10.5560/ZNA.2012-0066

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, based on the homotopy analysis method (HAM), a new powerful algorithm is used for the solution of the nonlinear reaction-diffusion equation. The algorithm presents the procedure of constructing a set of base functions and gives the high-order deformation equation in a simple form. Different from all other analytic methods, it provides us with a simple way to adjust and control the convergence region of the solution series by introducing an auxiliary parameter h. The solutions of the problem of presence and absence of absorbent term and external force for different particular cases are presented graphically.

引用

页码：621 / 627

页数：7

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