On the Solutions of the Generalized Reaction-Diffusion Model for Bacterial Colony

被引：0
作者：
A. M. A. El-Sayed
S. Z. Rida
A. A. M. Arafa
机构：
[1] Alexandria University,Department of Mathematics, Faculty of Science
[2] South Valley University,Department of Mathematics, Faculty of Science
来源：
Acta Applicandae Mathematicae | 2010年 / 110卷
关键词：
Reaction diffusion equations; Decomposition method; Bacteria growth; Fractional calculus;
D O I：
暂无
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学科分类号：
摘要：
In this paper, the Adomian’s decomposition method has been developed to yield approximate solution of the reaction-diffusion model of fractional order which describe the evolution of the bacterium Bacillus subtilis, which grows on the surface of thin agar plates. The fractional derivatives are described in the Caputo sense. The method introduces a promising tool for solving many linear and nonlinear fractional differential equations. In these schemes, the solution takes the form of a convergent series with easily computable components. Numerical results show that the approach is easy to implement and accurate when applied to partial differential equations of fractional order.
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页码：1501 / 1511
页数：10
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