| 单点子域积分与多点子域积分 |
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| 引用本文： | 赖永星,刘敏珊,董其伍.单点子域积分与多点子域积分[J].计算力学学报,2006,23(3):373-376. |
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| 作者姓名： | 赖永星 刘敏珊 董其伍 |
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| 作者单位： | 1. 南京工业大学,机械工程学院,江苏,南京,210009;郑州大学,河南,郑州,450002
2. 郑州大学,河南,郑州,450002 |
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| 摘 要： | 基于单点子域精细积分的思想,针对抛物线型热传导方程初边值问题,提出了多点子域积分的概念,推出了一种多点子域积分的FTCS格式。该格式为显格式,并证明其为无条件稳定。数值算例表明,多点子域积分的FTCS格式具有比单点子域积分的FTCS格式收敛速度快的特点。
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| 关 键 词： | 差分法 子域积分 稳定性 热传导方程 |
| 文章编号： | 1007-4708(2006)03-0373-04 |
| 修稿时间： | 2004年4月20日 |
Single-point subdomain precise integration and multi-point subdomain precise integration |
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| LAI Yong-xing,LIU Min-shan,DONG Qi-wu.Single-point subdomain precise integration and multi-point subdomain precise integration[J].Chinese Journal of Computational Mechanics,2006,23(3):373-376. |
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| Authors: | LAI Yong-xing LIU Min-shan DONG Qi-wu |
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| Abstract: | Based on single-point subdomain precise integration method,a multi-point subdomain precise integration method for heat conduction equation of parabolic type is proposed in this paper and a multi-point subdomain precise integration scheme(forward for time;center for space) is obtained.The scheme is of the explicit difference type and is unconditionally stable.The results of calculation show that the convergent speed of the multi-point subdomain precise integration scheme in this paper is faster than the single-point subdomain precise integration scheme. |
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| Keywords: | finite difference subdomain precise integration stability heat conduction equation |
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