| 引用本文： |
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王晨,徐安农,赵富强.求解对流-扩散方程的一类显示交替分组方法[J].广西科学,2008,15(2):145-147,150. [点击复制]
- WANG Chen,XU An-nong,ZHAO Fu-qiang.A Class Alternating Segment for Solving Convection-Diffusion Equation[J].Guangxi Sciences,2008,15(2):145-147,150. [点击复制]
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| 摘要: |
| 对求解对流-扩散方程初边值问题的第二类Saul'yev非对称格式以及古典显、隐格式进行组合,提出一种新的求解对流-扩散方程的显示交替分组方法,并对新方法进行稳定性分析和数值实验.新方法针对内点为偶数的情况,在节点两端点处用分组格式进行处理,所得解的精度高,稳定性好,容易在并行机上实现. |
| 关键词: 对流-扩散方程 交替分组方法 Saul'yev格式 并行计算 |
| DOI： |
| 投稿时间：2007-06-01修订日期：2007-10-23 |
| 基金项目: |
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| A Class Alternating Segment for Solving Convection-Diffusion Equation |
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WANG Chen, XU An-nong, ZHAO Fu-qiang
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| (School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| A new kind of AGE scheme for convection-diffusion equation is proposed by combing the Saul'yev asymmetric with classical implicit method and the classical explicit method.The situation of odd intertnal pith point use different way to deal with the boundaries is discussed.For the examples solved the mumerical results obtained by the present method are in satisfactory agreement with the exact solution. |
| Key words: convection-diffusion equation alternating group method Saul'yev type asymmetric different scheme parallel computing |
