NUMERICAL SOLUTION OF THE SPACE FRACTIONAL DIFFERENTIAL EQUATION

被引：0

作者：

Zheng Dayi Lu Xuanzhu College of Math and Computer Science Fuzhou University Fuzhou Liu Fawang School of Math Sciences Xiamen University Xiamen ^{[350002
,361005
]}

机构：

来源：

AnnalsofDifferentialEquations | 2005年 / 03期

关键词：

space fractional differential equation; implicit finite difference approximation; stability; convergence;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

<正>In this paper, a space fractional differential equation is considered. The equation is obtained from the parabolic equation containing advection, diffusion and reaction terms by replacing the second order derivative in space by a fractional derivative in space of order. An implicit finite difference approximation for this equation is presented. The stability and convergence of the finite difference approximation are proved. A fractional-order method of lines is also presented. Finally, some numerical results are given.

引用

页码：518 / 524

页数：7