An approximate solution of nonlinear fractional reaction-diffusion equation

被引：29
|
作者：
Das, S. [1 ]
Gupta, P. K. [1 ]
Ghosh, P. [2 ]
机构：
[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India
[2] Banaras Hindu Univ, Inst Technol, Dept Mech Engn, Varanasi 221005, Uttar Pradesh, India
来源：
APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 08期
关键词：
Reaction-diffusion equation; Non-linear differential equation; Fractional Brownian motion; Caputo derivative; Homotopy perturbation method; HOMOTOPY PERTURBATION METHOD; TRAVELING WAVES; BEHAVIOR;
D O I：
10.1016/j.apm.2011.02.004
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The article presents a mathematical model of nonlinear reaction diffusion equation with fractional time derivative alpha (0 < alpha <= 1) in the form of a rapidly convergent series with easily computable components. Fractional reaction diffusion equation is used for modeling of merging travel solutions in nonlinear system for popular dynamics. The fractional derivatives are described in the Caputo sense. The anomalous behaviors of the nonlinear problems in the form of sub- and super-diffusion due to the presence of reaction term are shown graphically for different particular cases. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：4071 / 4076
页数：6
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