Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations
Keywords:
Nonlinear pantograph equations, Runge-Kutta methods, Numerical stability, Asymptotic stability.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.