%0 Journal Article
%T THE EXPLICIT SCHEME FOR THE EQUATION OF FILTRATION TYPE WITH CONVECTION<br>带对流项的渗流型方程的显格式
%A Zhu Shaohong
%A Yuan Guangwei
%A Shen Longjun
%A <br>朱少红
%A 袁光伟
%A 沈隆钧
%J 计算数学
%D 2000
%I 
%X In this paper, the difference method for the equation of filtration type with convection is considered. The explicit scheme with artificial viscosity is given, then the convergence of the difference solution is proved by the method of discrete functional analysis. Meanwhile, the existence of the weak solution of the differential equation is obtained. At last, the numerical examples reveal the important properties of the solution to the equation of filtration type.
%K equation of filtration type
%K explicit scheme
%K convergence<br>渗流型方程
%K 显格式
%K 收敛性
%K 对流项
%K 抛物型方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=72B08BED97EB6093&yid=9806D0D4EAA9BED3&vid=BC12EA701C895178&iid=CA4FD0336C81A37A&sid=2A3781E88AB1776F&eid=9FFCC7AF50CAEBF7&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=3