]*>","")" /> 求解对流-扩散方程的交替分段显-隐式方法

• 论文 •

### 求解对流-扩散方程的交替分段显-隐式方法

1. 清华大学应用数学系;北京应用物理与计算数学研究所计算物理实验室;北京应用物理与计算数学研究所计算物理实验室
• 出版日期:1998-03-20 发布日期:1998-03-20

### ALTERNATING SEGMENT EXPLICIT-IMPLICIT METHOD FOR THE CONVECTION-DIFFUSION EQUATION

1. Lu Jin-fu(Department of Applied Mathematics, Tsinghua University)Zhang Bao-lin Xu Tao(The Labomtory of Computational Physics, Institute of Applied Physicsand Computational Mathematics)
• Online:1998-03-20 Published:1998-03-20
This paper presents the Alternating Segment Explicit-Implicit (ASE-I) method forsolving the convection-diffusion equation. The method has the obvious property ofparallelism, and is unconditionally stable. Numerical example is presented.
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 [1] D. J. Evans, A. R. Abdullah, Group explicit methods for parabolic equations, Int. J. Computer Math,14(1983), 73-105. [2] D. J. Evans. Alternating group explicit method for the diffusion equations, Appl. Math. Modelling, 9(1985), 201-206. [3] D. J. Evans, A. R. Abdullah, A new explicit method for the diffusion-convection equation, Comp.&Math.with Appls, 11(1985), 145-154. [4] 张宝琳,求解扩散方程的交替分段显-隐式方法,数值计算与计算机应用,12:4(1991),245-253 [5] A. Rigal, Numerical analysis of two-level finite difference schemes for unsteady diffusion-convectionproblems, Int Numer. Methods Eng, 28(1989), 1001-1021. [6] V. K. Saul' yev, Integration of Equations of Parabolic Type by Method of Nets, New York,1964. [7] C. A. J. Fletcher, Computational Techniques for Fluid Dynamics I, Springer-Verlag,Berlin,1988
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