Numerical stability and oscillation of the Runge-Kutta methods for equation x′(t)=ax(t)+a0x(M[t+NM])

doi:10.1186/1687-1847-2012-146

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	Numerical stability and oscillation of the Runge-Kutta methods for equation x′(t)=ax(t)+a0x(M[t+NM])
	Song,Minghui; Liu,MZ
	2012-08-28
发表期刊	Advances in Difference Equations
ISSN	1687-1847
卷号	2012 期号:1
摘要	AbstractThis paper deals with the numerical properties of Runge-Kutta methods for the alternately of retarded and advanced equation x′(t)=ax(t)+a0x(M[t+NM]). Necessary and sufficient conditions for the stability and oscillation of the numerical solution are given. The conditions that the Runge-Kutta methods preserve the stability and oscillations of the analytic solutions are obtained. Some numerical experiments are illustrated.
关键词	stability oscillation differential equation Runge-Kutta method
DOI	10.1186/1687-1847-2012-146
语种	英语
WOS记录号	BMC:10.1186/1687-1847-2012-146
出版者	Springer International Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/318
专题	中国科学院数学与系统科学研究院
通讯作者	Song,Minghui
作者单位	Harbin Institute of Technology; Department of Mathematics
推荐引用方式 GB/T 7714	Song,Minghui,Liu,MZ. Numerical stability and oscillation of the Runge-Kutta methods for equation x′(t)=ax(t)+a0x(M[t+NM])[J]. Advances in Difference Equations,2012,2012(1).
APA	Song,Minghui,&Liu,MZ.(2012).Numerical stability and oscillation of the Runge-Kutta methods for equation x′(t)=ax(t)+a0x(M[t+NM]).Advances in Difference Equations,2012(1).
MLA	Song,Minghui,et al."Numerical stability and oscillation of the Runge-Kutta methods for equation x′(t)=ax(t)+a0x(M[t+NM])".Advances in Difference Equations 2012.1(2012).