| 分片泛函多延迟微分方程Runge-Kutta方法的稳定性分析 |
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| 引用本文： | 王琦. 分片泛函多延迟微分方程Runge-Kutta方法的稳定性分析[J]. 宁夏大学学报(自然科学版), 2011, 32(4): 314-317 |
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| 作者姓名： | 王琦 |
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| 作者单位： | 广东工业大学应用数学学院,广东广州,510006 |
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| 基金项目： | 国家自然科学基金资助项目(51008084);广东省自然科学基金资助项目(9451009001002753) |
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| 摘 要： | 将Runge-Kutta方法用于求解一类分片泛函多延迟微分方程,研究其数值解的稳定性.给出了其解析解的渐近稳定区域包含在其数值解的渐近稳定区域的充分必要条件.最后,用一些数值算例验证了理论结果.
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| 关 键 词： | Runge-Kutta方法 分片延迟 渐近稳定性 |
Stability Analysis of Runge-Kutta Methods for Functional Differential Equations with Piecewise Delays |
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| Wang Qi. Stability Analysis of Runge-Kutta Methods for Functional Differential Equations with Piecewise Delays[J]. Journal of Ningxia University(Natural Science Edition), 2011, 32(4): 314-317 |
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| Authors: | Wang Qi |
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| Affiliation: | Wang Qi(School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China) |
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| Abstract: | The numerical stability of the functional differential equations with piecewise delays is studied applying Runge-Kutta method. The necessary and sufficient conditions under which the analytic stability region is contained in the numerical stability region are obtained. Some numerical examples are given to verify the theoretical results. |
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| Keywords: | Runge-Kutta methods piecewise delay asymptotical stability |
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