TY - JOUR
T1 - Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations
AU - Yue-Xin Yu & Shou-Fu Li
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 - <p style="text-align: justify;">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.</p>