Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations

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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.

Keywords:

Nonlinear pantograph equations Runge-Kutta methods Numerical stability Asymptotic stability.
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Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations. (2005). Journal of Computational Mathematics, 23(4), 351-356. https://www.global-sci.com/index.php/JCM/article/view/11714