STABILITY ANALYSIS OF RUNGE-KUTTA METHODS FOR NONLINEAR SYSTEMS OF PANTOGRAPH EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Nonlinear pantograph equations Runge-Kutta methods Numerical stability Asymptotic stability.
• 年，卷（期）: 2005,（4）
• 页码范围: 351-356
• 页数: 6页
• 语种: 英文

摘要

This paper is concerned with numerical stability of nonlinear systems of pantograph equations. Numerical methods based on (k, l)-algebraically stable Runge-Kutta methods are suggested. Global and asymptotic stability conditions for the presented methods are derived.