Stability Analysis Of Runge-Kutta Methods For Nonlinear Systems Of Pantograph Equations
Yue-xin Yu 1, Shou-fu Li 11 Department of Mathematics, Xiangtan University, Xiangtan 411105, China
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.