计算机工程与应用2012，Vol.48Issue(6)：28-29,2.DOI:10.3778/j.issn.1002-8331.2012.06.008
同伦扰动法求解分数阶非线性扩散方程近似解
Approximate solutions of nonlinear diffusion equation by using homotopy perturbation method
摘要
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.关键词
分数阶微积分/分数阶扩散方程/同伦扰动法/近似解Key words
fractional calculus/fractional diffusion equation/homotopy perturbation method/approximate solution分类
数理科学引用本文复制引用
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):28-29,2.基金项目
山东省自然科学基金(No.Y2007A06,ZR2010A1019):中国博士后科学基金(No.20100470783). （No.Y2007A06,ZR2010A1019）
