| 五维热传导方程的一族两层显格式 |
| |
| 引用本文： | 陈贞忠,付立志,马明书.五维热传导方程的一族两层显格式[J].纯粹数学与应用数学,2011,27(2):170-175. |
| |
| 作者姓名： | 陈贞忠 付立志 马明书 |
| |
| 作者单位： | 新乡学院数学系;焦作大学基础部;河南师范大学数学与信息科学学院; |
| |
| 基金项目： | 河南省教育厅自然科学基础研究基金(20031100010) |
| |
| 摘 要： | 构造了五维热传导方程的一族两层显格式,证明了当截断误差阶为O（τ＋h2）时,其稳定性条件为网比r=hτ2≤21,优于同类的其它显格式,当截断误差阶为O（τ2＋h2）时,可以得到一个简洁而实用的二阶精度的两层显格式.
|
| 关 键 词： | 热传导方程 显式差分格式 截断误差 条件稳定 |
A class of two-level explicit difference scheme for solving 5-D heat equation |
| |
| CHEN Zhen-zhong,FU Li-zhi,MA Ming-shu.A class of two-level explicit difference scheme for solving 5-D heat equation[J].Pure and Applied Mathematics,2011,27(2):170-175. |
| |
| Authors: | CHEN Zhen-zhong FU Li-zhi MA Ming-shu |
| |
| Institution: | CHEN Zhen-zhong1,FU Li-zhi2,MA Ming-shu3(1.Department of Mathematics,Xinxiang University,Xinxiang 45300,China,2.Department of Basic Course,Jiaozuo University,Jiaozuo 454003,3.College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China) |
| |
| Abstract: | A class of two-level explicit difference schemes for solving 5-D heat equation are presented,when the order of trunction error is O（τ ＋ h2）,the stability condition is the mash ratio r = hτ2 ≤ 21,which is better than that of all other explicit difference shcemes.When the order of trunction error is O（τ2 ＋ h2）,it becomes a concise and practical explicit schemes of two level with two-order accuracy. |
| |
| Keywords: | heat-conduction equation explicit difference scheme truncation error conditionally stable |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
