摘要
本文研究了分段连续型微分方程x'(t)=ax(t)+bx(3[(t+1)/3])Euler-Maclaurin方法的数值稳定性问题.利用特征分析的方法,获得了数值解稳定的充分条件,进而证明了Euler-Maclaurin方法保持了精确解的稳定性.最后给出了一些数值例子.
In this paper,we investigate the numerical stability of Euler-Maclaurin method for differential equation with piecewise constant arguments x1（t）=ax（t）＋bx（3[（t＋1）/3]）.By the method of characteristic analysis,the sufficient conditions of stability for the numerical solution are obtained.Moreover,we show that the Euler-Maclaurin method preserves the stability of the exact solution.Finally,some numerical examples are given.
出处
《数学杂志》
CSCD
北大核心
2016年第5期955-962,共8页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(11201084)
China Postdoctoral Science Foundation(2013M531842)
Science and Technology Program of Guangzhou(2014KP000039)
