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

作　　者：Yue-xin Yu Shou-fu Li 

机构地区：[1]Department of Mathematics, Xiangtan University, Xiangtan 411105, China

出　　处：《Journal of Computational Mathematics》2005年第4期351-356,共6页计算数学（英文）

基　　金：This work is supported by the National Natural Science Foundation of China（No. 10271100）.

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.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.

关 键 词：Nonlinear pantograph equations Runge-Kutta methods Numerical stability Asymptotic stability 

分 类 号：O175[理学—数学]