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| Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations | |
| 引用本文： | Yue-xin YU & Shou-fu LI Department of Mathematics,Xiangtan University,Xiangtan 411105,China. Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations[J]. 中国科学A辑(英文版), 2007, 50(4): 464-474. DOI: 10.1007/s11425-007-2043-7 |
| 作者姓名： | Yue-xin YU & Shou-fu LI Department of Mathematics Xiangtan University Xiangtan 411105 China |
| 作者单位： | Yue-xin YU & Shou-fu LI Department of Mathematics，Xiangtan University，Xiangtan 411105，China |
| 摘 要： | The sufficient conditions for the stability and asymptotic stability of Runge-Kutta methods for nonlinear neutral delay integro-differential equations are derived. A numerical test that confirms the theoretical results is given in the end. |
| 收稿时间： | 2005-11-25 |
| 修稿时间： | 2006-08-07 |
Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations |
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| Yue-xin Yu,Shou-fu Li. Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations[J]. Science in China(Mathematics), 2007, 50(4): 464-474. DOI: 10.1007/s11425-007-2043-7 | |
| Authors: | Yue-xin Yu Shou-fu Li |
| Affiliation: | Department of Mathematics,Xiangtan University,Xiangtan 411105,China |
| Abstract: | The sufficient conditions for the stability and asymptotic stability of Runge-Kutta methods for nonlinear neutral delay integro-differential equations are derived. A numerical test that confirms the theoretical results is given in the end. |
| Keywords: | neutral delay integro-differential equations Runge-Kutta methods stability asymptotic stability |
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