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同伦扰动法求解分数阶非线性扩散方程近似解 被引量：3

Approximate solutions of nonlinear diffusion equation by using homotopy perturbation method
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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。 Caputo fractional operator is introduced in the diffusion equation with initial condition, and the time-space fractional equa- tion 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.
作者 刘艳芹
机构地区 德州学院数学系
出处 《计算机工程与应用》 CSCD 2012年第6期28-29,共2页 Computer Engineering and Applications
基金 山东省自然科学基金(No.Y2007A06 ZR2010Al019) 中国博士后科学基金(No.20100470783)
关键词 分数阶微积分 分数阶扩散方程 同伦扰动法 近似解 fractional calculus fractional diffusion equation homotopy perturbation method approximate solution
分类号 O175.29 [理学—基础数学]
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参考文献11

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共引文献8

同被引文献33

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引证文献3

二级引证文献9

计算机工程与应用
2012年 第6期

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