J. Comp. Math., 23 (2005), pp. 351-356.


Stability Analysis Of Runge-Kutta Methods For Nonlinear Systems Of Pantograph Equations

Yue-xin Yu 1, Shou-fu Li 1

1 Department of Mathematics, Xiangtan University, Xiangtan 411105, China

Abstract

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.

Key words: Nonlinear pantograph equations; Runge-Kutta methods; Numerical stability; Asymptotic stability.

 

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