| Painlevé方程解的渐近性态的数值分析方法 |
| |
| 引用本文： | 秦惠增,商妮娜.Painlevé方程解的渐近性态的数值分析方法[J].数值计算与计算机应用,2005,26(1):58-64. |
| |
| 作者姓名： | 秦惠增 商妮娜 |
| |
| 作者单位： | 山东理工大学数学与信息科学学院应用数学研究所 |
| |
| 摘 要： | Painlevé方程是六类重要的二阶代数微分方程,它们的发展一直受到人们的关注.解的渐近性态是重要的研究方向.由于解的渐近性态难以直接观察出来,所以我们用微分方程数值解研制出Painlevé方程解的渐近性态的分析系统.通过此系统对Painlevé方程解的渐近性态进行分析,已经得到一些结果,部分结果与有关文献的结果1]相当吻合,进而为从理论上找出具体的相关性质提供了方法和依据.
|
| 关 键 词： | Painlevé方程 数值解 渐近性态 |
| 修稿时间： | 2003年3月20日 |
ASYMPTOTICS ANALYSIS OF NUMERICAL SOLUTION OF PAINLEVE EQUATION |
| |
| Qin Huizeng,Shang Nina.ASYMPTOTICS ANALYSIS OF NUMERICAL SOLUTION OF PAINLEVE EQUATION[J].Journal on Numerical Methods and Computer Applications,2005,26(1):58-64. |
| |
| Authors: | Qin Huizeng Shang Nina |
| |
| Abstract: | The Painleve equation are six kinds important second differential equation. Their development has been being concerned. The asymptoties behavior of solutions is an important research trend. It is difficult to observe the asymptoties behavior of solutions, so the analysis system of Painleve equation has been studied by means of the numerical solution of differential equations. By this system, the asymptoties solutin of the third, fifth, sixth Painleve equation has been further done, and some results have obtained. Some of those results conform that form related documents. Therefore the numerical solutions analysis has provided a way and reference for theoretically seeking concrete relevant characteristics. |
| |
| Keywords: | Painlove Equation Numerical Solution Asymptotics |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
