| 高维抛物型方程的高精度恒稳定的改进的Douglas格式 |
| |
| 引用本文： | 陈贞忠,马小霞.高维抛物型方程的高精度恒稳定的改进的Douglas格式[J].河南师范大学学报(自然科学版),2011,39(1):37-40. |
| |
| 作者姓名： | 陈贞忠 马小霞 |
| |
| 作者单位： | 1. 新乡学院,数学系,河南,新乡,453000
2. 焦作大学,基础部,河南,焦作,454003 |
| |
| 基金项目： | 河南省教育厅自然科学基础研究项目 |
| |
| 摘 要： | 对二维和三维抛物型方程,构造出了高精度恒稳定的改进的Douglas格式,格式的截断误差阶达到O(Δt2+Δx4),通过数值实例,验证了所得格式较现有的同类格式的精度提高了2位以上有效数字.
|
| 关 键 词： | 抛物型方程 改进的 Douglas 格式 截断误差 恒稳定 |
An Absolutely Stable Improved Douglas Scheme of High Accuracy for Solving Parobolic Equation |
| |
| CHEN Zhen-zhong,MA Xiao-xia.An Absolutely Stable Improved Douglas Scheme of High Accuracy for Solving Parobolic Equation[J].Journal of Henan Normal University(Natural Science),2011,39(1):37-40. |
| |
| Authors: | CHEN Zhen-zhong MA Xiao-xia |
| |
| Institution: | 1.Department of Mathematics,Xinxiang University,Xinxiang 453000,China;2.Department of Basic Course,Jiaozuo University,Jiaozuo 454003,China) |
| |
| Abstract: | This paper presents the absolutely stable improved Douglas scheme of high accuracy of solving parabolic equation of two-dimension and three-dimension.The truncation error of the scheme is O(Δt2+Δx4).From numerical examples,it validities that the accuracy of the scheme gained is hightened more than two effective numbers than the same existing style. |
| |
| Keywords: | parabolic equation improved Douglas scheme truncation error absolutely stable |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
