| 一类二阶延迟微分方程的Runge-Kutta-Nystrm方法的稳定性 |
| |
| 引用本文： | 郭长勇.一类二阶延迟微分方程的Runge-Kutta-Nystrm方法的稳定性[J].黑龙江大学自然科学学报,2012(3):327-331. |
| |
| 作者姓名： | 郭长勇 |
| |
| 作者单位： | 哈尔滨工业大学计算机科学与技术学院 |
| |
| 基金项目： | 国家自然科学基金资助项目(61073124) |
| |
| 摘 要： | 研究一类二阶延迟微分方程Runge-Kutta-Nystrm方法的稳定性。用该方法直接离散二阶延迟微分方程,给出该方法稳定的一个充要条件,并在此基础上给出一个简化的稳定性判别条件。
|
| 关 键 词： | 二阶延迟微分方程 Runge-Kutta-Nystrm方法 稳定性 |
Stability of Runge-Kutta-Nystrm methods for a class of second order delay differential equations |
| |
| GUO Chang-yong.Stability of Runge-Kutta-Nystrm methods for a class of second order delay differential equations[J].Journal of Natural Science of Heilongjiang University,2012(3):327-331. |
| |
| Authors: | GUO Chang-yong |
| |
| Institution: | GUO Chang-yong (School of Computer Science and Technology,Harbin Institute of Technology,Weihai 264209,China) |
| |
| Abstract: | The stability of Runge-Kutta-Nystrm methods is studied for a class of second order delay differential equations.This method is to directly discretize the second order delay differential equations.A sufficient and necessary condition under which the numerical solutions preserve the stability are obtained,and on this basis a simplified criterion of the stability is given. |
| |
| Keywords: | second order delay differential equations Runge-Kutta-Nystrm methods stability |
| 本文献已被 CNKI 等数据库收录！ |
