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

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

Year:    2005

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 351–356

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-JCM-8821

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 351–356

Published online:    2005-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Nonlinear pantograph equations Runge-Kutta methods Numerical stability Asymptotic stability.