| 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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| 单点子域积分与多点子域积分 |
| Single-point subdomain precise integration and multi-point subdomain precise integration |
| 修订日期：2004-04-20 |
| DOI：10.7511/jslx20063069 |
| 中文关键词: 差分法 子域积分 稳定性 热传导方程 |
| 英文关键词:finite difference,subdomain precise integration,stability,heat conduction equation |
| 基金项目:河南省科技攻关项目 |
| 赖永星 刘敏珊 董其伍 |
| [1]南京工业大学机械工程学院,江苏南京210009 [2]郑州大学,河南郑州450002 |
| 摘要点击次数: 1489 |
| 全文下载次数: 8 |
| 中文摘要: |
| 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FTES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FTES格式具有比单点子域积分的FTCS格式收敛速度快的特点。 |
| 英文摘要: |
| 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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