Approximate solutions of nonlinear diffusion equation by using homotopy perturbation method

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (6): 28-29.

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Approximate solutions of nonlinear diffusion equation by using homotopy perturbation method

LIU Yanqin

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

Received:1900-01-01 Revised:1900-01-01 Online:2012-02-21 Published:2012-02-21

同伦扰动法求解分数阶非线性扩散方程近似解

刘艳芹

德州学院数学系，山东德州 253023

Abstract

Abstract: Caputo fractional operator is introduced in the diffusion equation with initial condition, and the time-space fractional equation is established. Approximate solution of the fractional nonlinear diffusion equation is obtained by using homotopy perturbation method and mathematica symbols calculation software, and the integer equation is the special case of this fractional equation.

Key words: fractional calculus, fractional diffusion equation, homotopy perturbation method, approximate solution

摘要： 将Caputo分数阶微分算子引入到带有初值条件的扩散方程中，建立了时空分数阶方程。利用同伦扰动法并借助于Mathematica软件的符号计算功能，求解了分数阶非线性扩散方程的近似解，整数阶方程的结果作为特例被包含。

关键词: 分数阶微积分, 分数阶扩散方程, 同伦扰动法, 近似解

LIU Yanqin. Approximate solutions of nonlinear diffusion equation by using homotopy perturbation method[J]. Computer Engineering and Applications, 2012, 48(6): 28-29.

刘艳芹. 同伦扰动法求解分数阶非线性扩散方程近似解[J]. 计算机工程与应用, 2012, 48(6): 28-29.

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Approximate solutions of nonlinear diffusion equation by using homotopy perturbation method

同伦扰动法求解分数阶非线性扩散方程近似解

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