Oscillation of numerical solution in the Runge-Kutta methods for equation x′(t) = ax(t) + a0x([t])

被引：0
作者：
Qi Wang
Shen-shan Qiu
机构：
[1] Guangdong University of Technology,School of Apllied Mathematics
[2] The Administrative Commission of Guangzhou Tianhe Software Park,CSIB Software Technology Center
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2014年 / 30卷
关键词：
piecewise continuous arguments; Runge-Kutta methods; stablity; oscillation; 65L07; 65L20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper deals with oscillation of Runge-Kutta methods for equation x′(t) = ax(t) + a0x([t]). The conditions of oscillation for the numerical methods are presented by considering the characteristic equation of the corresponding discrete scheme. It is proved that any nodes have the same oscillatory property as the integer nodes. Furthermore, the conditions under which the oscillation of the analytic solution is inherited by the numerical solution are obtained. The relationships between stability and oscillation are considered. Finally, some numerical experiments are given.
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页码：943 / 950
页数：7
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