%0 Journal Article %T AN ECONOMICAL DIFFERENCE SCHEME FOR CONVECTION-DIFFUSION EQUATIONS
对流扩散方程的经济差分格式 %A Cheng Aijie Zhao Weidong %A
程爱杰 %A 赵卫东 %J 计算数学 %D 2000 %I %X An economical difference scheme is proposed to solve convection-diffusion equations. The transport term is discretized by the method of characteristics, then the difference system are docomposed to several problems of individual variable using alternating direction method. Two kinds of interpolation operators are supplied for the technique of characteristics. The stability and convergence are analysed by energy method. Numerical result implies that this scheme has better accuracy and higher efficiency then the standard scheme of two-order center difference quotient. %K Concection- diffusion equation %K Characteristics method %K A %K D %K I %K scheme %K Stability and convergence
对流扩散方程 %K 稳定性 %K 收敛性 %K 经济差分格式 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=FABAB3B0A6B683343A3447C1E222CF9D&yid=9806D0D4EAA9BED3&vid=BC12EA701C895178&iid=38B194292C032A66&sid=F637763636425CAF&eid=3C6F5C97A07587AE&journal_id=0254-7791&journal_name=计算数学&referenced_num=21&reference_num=4