%0 Journal Article
%T A NUMERICAL METHOD FOR THE SPACE-TIME FRACTIONAL CONVECTION-DIFFUSION EQUATION<br>空间-时间分数阶对流扩散方程的数值解法
%A Qin Pingyang
%A Zhang Xiaodan
%A <br>覃平阳
%A 张晓丹
%J 计算数学
%D 2008
%I 
%X In this paper, a space-time fractional convection-diffusion equation is considered. The equation is obtained from the classical convection-diffusion equation by replacing the first-order time derivative, the second-order space derivative with fractional derivatives of order $\alpha$($0<\alpha<1$), $\beta$ ($1<\beta<2$)respectively. An implicit difference scheme is presented. It is shown that the method is unconditional stable and the convergence order of the method is $O(\tau+h)$ . Finally, some numerical examples are given.
%K convection-diffusion equation
%K fractional-order derivative
%K implicit difference scheme
%K stability
%K convergence<br>对流扩散方程
%K 分数阶导数
%K 隐式差分格式
%K 稳定性
%K 收敛性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=8F8340B784A96905B2031B42B03D2A86&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=38B194292C032A66&sid=407C905D8F0449C4&eid=85002451B65CE0D1&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=10