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求解对流扩散方程的ICT-MMOCAA差分解法
引用本文:由同顺.求解对流扩散方程的ICT-MMOCAA差分解法[J].高等学校计算数学学报,2002,24(2):145-154.
作者姓名:由同顺
作者单位:南开大学数学学院,天津,300071
摘    要:Combing the ideas of FCT^1,2]with the MMOCAA^3],the ICT-MMOCAA difference method,in which the transport is corrected by interpolation,is established for convection diffusion problem in the paper,The new method possesses the property of general FCT schemes and it is free from oscillation,with which the large gradient problem is solved by the MMOCAA difference method based on high-order(≥2)Lagrange interpolation^3].Because the analysis in 3]is only suit for the scheme based on linear interpolation,the analysis method difered form 3] is used for obaining the error estimates of the new method.The numerical example is given in the paper.

关 键 词:  对流扩散方程  差分格式  ICT-MMOCAA差分解
修稿时间:2000年11月15

THE ICT-MMOCAA DIFFERENCE METHOD FOR THE CONVECTION DIFFUSION EQUATION
You Tongshun.THE ICT-MMOCAA DIFFERENCE METHOD FOR THE CONVECTION DIFFUSION EQUATION[J].Numerical Mathematics A Journal of Chinese Universities,2002,24(2):145-154.
Authors:You Tongshun
Abstract:
Keywords:convection diffusion equation  MMOCAA method  ICT-interpola-tion  
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