计算数学 2000, 22(3) 309-318 DOI:     ISSN: 0254-7791 CN: 11-2125/O1

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PubMed

对流扩散方程的经济差分格式

程爱杰,赵卫东

山东大学数学研究所!济南 250100,山东大学数学研究所!济南 250100

摘要

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AN ECONOMICAL DIFFERENCE SCHEME FOR CONVECTION-DIFFUSION EQUATIONS

Cheng Aijie Zhao Weidong (Department of Mathematics, Shandong University, Jinan, 250100)

Abstract:

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.

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收稿日期  修回日期  网络版发布日期 2000-03-14 00:00:00.0 
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