Numerical stability and oscillation of the Runge-Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type
文献类型：期刊论文
| 作者 | Song,Minghui; Liu,Mingzhu |
| 刊名 | Journal of Inequalities and Applications
 |
| 出版日期 | 2012-12-10 |
| 卷号 | 2012期号:1 |
| 关键词 | stability oscillation delay differential equation piecewise continuous arguments |
| ISSN号 | 1029-242X |
| DOI | 10.1186/1029-242X-2012-290 |
| 英文摘要 | AbstractThis paper is concerned with the numerical properties of Runge-Kutta methods for the alternately of retarded and advanced equation x˙(t)=ax(t)+a0x(2[t+12]). The stability region of Runge-Kutta methods is determined. The conditions that the analytic stability region is contained in the numerical stability region are obtained. A?necessary and sufficient condition for the oscillation of the numerical solution is given. And it is proved that the Runge-Kutta methods preserve the oscillations of the analytic solutions. Some numerical experiments are illustrated. |
| 语种 | 英语 |
| WOS记录号 | BMC:10.1186/1029-242X-2012-290 |
| 出版者 | Springer International Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/287]  |
| 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,Mingzhu. Numerical stability and oscillation of the Runge-Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type[J]. Journal of Inequalities and Applications,2012,2012(1). |
| APA | Song,Minghui,&Liu,Mingzhu.(2012).Numerical stability and oscillation of the Runge-Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type.Journal of Inequalities and Applications,2012(1). |
| MLA | Song,Minghui,et al."Numerical stability and oscillation of the Runge-Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type".Journal of Inequalities and Applications 2012.1(2012). |
入库方式： OAI收割
来源：数学与系统科学研究院
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