TY - JOUR T1 - Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations JO - Journal of Computational Mathematics VL - 4 SP - 351 EP - 356 PY - 2005 DA - 2005/08 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8821.html KW - Nonlinear pantograph equations, Runge-Kutta methods, Numerical stability, Asymptotic stability. AB -
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.