A Stable Numerical Approach for Implicit Non-Linear Neutral Delay Differential Equations
| 详细信息 | 推荐本文 | |
- 作者：R. Vermiglio and L. Torelli
- 关键词：Neutral delay differential equations ; Runge– ; Kutta methods ; stability analysis
- 刊名：BIT Numerical Mathematics
- 出版时间：March 2003
- 出版年：2003
- 期刊代码：30_0006-3835
- 类别：mat
- 卷：43
- 期：1
- 页码：195-215
- 数据来源：sp
摘要
In this paper we consider implicit non-linear neutral delay differential equations to derive efficient numerical schemes with good stability properties. The basic idea is to reformulate the original problem eliminating the dependence on the derivative of the solution in the past values. Our hypothesis on the original equation allow us to study the boundedness and asymptotic stability of the true and numerical solutions by the theory of stability with respect to the forcing term.