| 燃烧方程非均匀网格有限差分方法研究 |
| |
| 引用本文： | 周均,胡兵.燃烧方程非均匀网格有限差分方法研究[J].四川大学学报(自然科学版),2009,46(6):1605-1610. |
| |
| 作者姓名： | 周均 胡兵 |
| |
| 作者单位： | 1. 四川大学数学学院,成都,610064;长江师范学院数学系,重庆,408000
2. 四川大学数学学院,成都,610064, |
| |
| 摘 要： | 作者根据燃烧方程解的特点,构造了一类全隐非均匀网格差分格式,证明了差分格式数值解的存在性和收敛性,并通过数值试验验证了理论分析的正确性,得到的数值解精度明显优于均匀网格差分格式.
|
| 关 键 词： | 燃烧方程 有限差分方法 非均匀网格 存在性 收敛性 |
Research on flame equation's finite difference scheme with non-uniform mesh |
| |
| ZHOU Jun,HU Bing.Research on flame equation's finite difference scheme with non-uniform mesh[J].Journal of Sichuan University (Natural Science Edition),2009,46(6):1605-1610. |
| |
| Authors: | ZHOU Jun HU Bing |
| |
| Institution: | College of Mathematics, Sichuan University;Department of Mathematics, Yangtze Normal University;College of Mathematics, Sichuan University |
| |
| Abstract: | In this paper, a new difference scheme with non-uniform mesh is solution. The existence and convergence of difference solution are both proved. Numerical experiments are carried out to justify the theoretical analyses. It is shown that numerical solution with non-uniform mesh is more accurate than that with uniform mesh. |
| |
| Keywords: | flame equation difference scheme with non-uniform mesh existence convergence |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《四川大学学报(自然科学版)》下载免费的PDF全文 |
