| 二级二阶和三级三阶连续Runge-Kutta-Nystrom方法 |
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| 引用本文： | 邹巾英,丁效华,刘明珠. 二级二阶和三级三阶连续Runge-Kutta-Nystrom方法[J]. 黑龙江大学自然科学学报, 2003, 20(2) |
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| 作者姓名： | 邹巾英 丁效华 刘明珠 |
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| 作者单位： | 1. 哈尔滨工业大学,威海校区,山东,威海,264209
2. 哈尔滨工业大学,理学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金(10271036)，哈尔滨工业大学(威海)校内基金(2002-3-14.5) |
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| 摘 要： | 研究一类连续的Rungee—Kutta—Nystrm方法,给出该方法直到四阶的阶条件和利用其求解二阶线性延迟微分方程时的P-稳定区域。利用所给的阶条件,分别构造了特殊的二级二阶和三级三阶连续Runge-Kutta-Nystrm方法,并通过数值实验说明方法是实用的。
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| 关 键 词： | 二阶微分方程 Runge—Kutta—Nystrm方法 稳定性 |
Two - stage and three- stage continuous Runge- Kutta- Nystrom method of orders two and three |
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| ZOU Jin-ying,DING Xiao-hua,LIU Ming-zhu. Two - stage and three- stage continuous Runge- Kutta- Nystrom method of orders two and three[J]. Journal of Natural Science of Heilongjiang University, 2003, 20(2) |
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| Authors: | ZOU Jin-ying DING Xiao-hua LIU Ming-zhu |
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| Abstract: | A class of continuous Runge -Kutta -Nystrom method is studied. The order conditions until 4th order are defined and a way to decide the P-stable region of the continuous Runge -Kutta -Nystrom method is found. Furthermore, continuous Runge - Kutta - Nystrom methods for two -stage tow -order and three -stage three -order are presented by using the order conditions. |
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| Keywords: | second-order differential equations Runge-Kutta-Nystrom method stability |
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