| 二阶延迟微分方程Runge-Kutta方法的稳定性 |
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| 引用本文： | 范振成.二阶延迟微分方程Runge-Kutta方法的稳定性[J].闽江学院学报,2009,30(2). |
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| 作者姓名： | 范振成 |
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| 作者单位： | 闽江学院数学系,福建,福州,350108 |
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| 摘 要： | 研究二阶延迟微分方程Runge-Kutta方法的稳定性.首先,引入新变量,将二阶延迟微分方程化为一阶方程组.然后,应用Runge-Kuta 方法于一阶方程组,给出了Runge-Kutta稳定的充分条件,进而得到了二阶延迟微分方程Runge-Kutta方法稳定的充分条件.最后,通过数值试验验证所得结论的正确性.
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| 关 键 词： | 二阶延迟微分方程 Runge-Kutta方法 稳定性 |
The stability of Runge-Kutta method for the second order delay differential equations |
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| FAN Zhen-cheng.The stability of Runge-Kutta method for the second order delay differential equations[J].Journal of Minjiang University,2009,30(2). |
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| Authors: | FAN Zhen-cheng |
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| Institution: | Department of Mathematics;Minjiang University;Fuzhou;Fujian 350108;China |
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| Abstract: | The stability of Runge-Kutta method is studied for the second order delay differential equation.Firstly,the equation is converted to the first order differential systems by using variable substitution.Secondly,the Runge-Kutta methods are applied to the systems,and the sufficient conditions of stability of Runge-Kutta method of the first order differential systems are given,so the sufficient conditions of the second order delay differential equation are obtained.Finally,the numerical test is given to verify ... |
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| Keywords: | second order delay differential equations Runge-Kutta method stability |
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