Stability Analysis of Runge-Kutta Methods for Nonlinear Neutral Volterra Delay-Integro-Differential Equations

2011 ◽  
Vol 4 (4) ◽  
pp. 537-561 ◽  
Author(s):  
Wansheng Wang and Dongfang Li
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Runge Kutta

scholarly journals Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-5
Author(s):  
Hongyu Qin ◽  
Zhiyong Wang ◽  
Fumin Zhu ◽  
Jinming Wen
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Numerical Solutions ◽  
Runge Kutta

This paper is concerned with stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are controlled by the initial perturbations from the system and the methods.

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