Solutions of fractional population diffusion model

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (24): 7-9.

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Solutions of fractional population diffusion model

LIU Yanqin

Department of Mathematics, Dezhou University, Dezhou, Shandong 253023, China

Online:2012-08-21 Published:2012-08-21

一类分数阶种群扩散模型解的研究

刘艳芹

德州学院数学系，山东德州 253023

Abstract

Abstract: Time fractional nonlinear Fisher’s single population equations from the generalized Fick diffusion law are studied. Its numerical solutions are obtained by using the variational iteration method, and the results are also discussed.

Key words: fractional calculus, fractional Fisher’s equation, nonlinear equation, variational iteration method

摘要： 从推广的Fick扩散定律出发研究了一类时间分数阶Fisher单种群扩散模型。利用变分迭代法求解了三种不同情况下的近似解，对结果进行了讨论和数值模拟。

关键词: 分数阶微积分, 分数阶Fisher方程, 非线性方程, 变分迭代法

LIU Yanqin. Solutions of fractional population diffusion model[J]. Computer Engineering and Applications, 2012, 48(24): 7-9.

刘艳芹. 一类分数阶种群扩散模型解的研究[J]. 计算机工程与应用, 2012, 48(24): 7-9.

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Solutions of fractional population diffusion model

一类分数阶种群扩散模型解的研究

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