Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type

详细信息    查看全文

• 作者：Jianfang Gao ^{11080915@163.com 09151108@163.com}
• 关键词：Oscillation ; Numerical solution ; Runge&ndash ; Kutta method ; Delay differential equation
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：15 April 2017
• 年：2017
• 卷：299
• 期：Complete
• 页码：16-27
• 全文大小：557 K
• 卷排序：299

文摘

The paper deals with the oscillation and non-oscillation of the Runge–Kutta methods for a differential equation with piecewise continuous arguments of mixed type. The conditions of the oscillation and non-oscillation for the Runge–Kutta method are obtained. It is proved that oscillation of the analytic solution is not preserved by the Runge–Kutta method under any conditions. The conditions under which the non-oscillation of analytic solutions is preserved by the Runge–Kutta method are obtained. Some numerical experiments are given.