两类线性泛函微分方程数值解的振动性分析

• 作者: 王云竹 高建芳
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 年，卷（期）: 2017,（2）
• 页码范围: 97-107
• 页数: 11页
• 分类号: O241.81
• 语种: 中文

摘要

The paper considers the oscillation of numerical solutions for two kinds of linear functional differential equations by the θ-method.Through the oscillatory equivalence,the advanced functional differential equation is transformed into the delay functional differential equation.By judging the roots of the characteristic equation,some conditions under which the numerical solution is oscillatory are obtained and it is proved that the oscillations of the analytic solutions are preserved by the numerical solutions under some conditions.Besides,for the special case of θ-method,the trapezoidal method,it is proved that the trapezoidal method can keep the oscillation property of the analytic solution without any condition.In the end,the article gives numerical experiments.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	高建芳		14	19	2.0	4.0
2	王云竹		2	0	0.0	0.0