| 常微分方程数值解整体截断误差估计方法 |
| |
| 引用本文： | 袁行远.常微分方程数值解整体截断误差估计方法[J].实验科学与技术,2008,6(3):150-152. |
| |
| 作者姓名： | 袁行远 |
| |
| 作者单位： | 山东科技大学信息科学与工程学院应用数学系,青岛,266510 |
| |
| 摘 要： | 验证了一种常微分方程数值解整体截断误差估计方法，它主要利用不同阶数的自适应RK方法对问题进行求解；证明了精度较高的RK方法的整体截断误差可以作为原问题的整体截断误差，该方法具有与原方法同数量级的时间复杂度。并对弹簧振子问题进行了验证，还据此对三体问题进行了计算。
|
| 关 键 词： | 常微分方程数值解 整体截断误差 Rouge-Kutta-Felberg方法 三体问题 |
A Method of Evaluating the Overall Truncation Error for Numerical Solutions of Ordinary Differential Equations and its Application in Three- body Problem |
| |
| YUAN Xing-yuan.A Method of Evaluating the Overall Truncation Error for Numerical Solutions of Ordinary Differential Equations and its Application in Three- body Problem[J].Experiment Science & Technology,2008,6(3):150-152. |
| |
| Authors: | YUAN Xing-yuan |
| |
| Institution: | YUAN Xing-yuan ( Applied Mathematics Department, Collesv of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China) |
| |
| Abstract: | The paper examines a method of evaluating the overall truncation error for numerical solutions to ordinary differential equations. This method uses different order Rouge-Kutta method to get the accuracy of the solutions,with the same magnitude of time complexity of the original method, and calculates three-body problem with it. |
| |
| Keywords: | numerical solutions of ordinary differential equations total absolute error Rouge-Kutta-Felbery method three-body problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
