Numerical treatment of oscillatory functional differential equations

详细信息    查看全文

• 作者：Neville J. Ford ; Yubin Yan ; Md. Abdul Malique
• 关键词：Functional differential equations ; Delay equations ; Oscillatory solutions ; Numerical schemes ; Discrete equations
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2010
• 出版时间：1 September 2010
• 年：2010
• 卷：234
• 期：9
• 页码：2757-2767
• 全文大小：1664 K

文摘

In this paper we are concerned with oscillatory functional differential equations (that is, those equations where all the solutions oscillate) under a numerical approximation. Our interest is in the preservation of qualitative properties of solutions under a numerical discretisation. We give conditions under which an equation is oscillatory, and consider whether the discrete schemes derived using linear -methods will also be oscillatory. We conclude with some general theory.