scholarly journals Stability analysis of nonlinear functional differential and functional equations

2009 ◽  
Vol 22 (5) ◽  
pp. 787-791 ◽  
Author(s):  
Yuexin Yu ◽  
Shoufu Li
Keyword(s):  
Stability Analysis ◽  
Functional Equations ◽  
Nonlinear Functional ◽  
Functional Differential

scholarly journals Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yuexin Yu ◽  
Zhongyan Liu ◽  
Liping Wen
Keyword(s):  
Stability Analysis ◽  
Numerical Stability ◽  
Functional Equations ◽  
Numerical Test ◽  
Sufficient Conditions ◽  
Nonlinear Functional ◽  
Runge Kutta ◽  
Functional Differential ◽  
The Stability ◽  
Theoretical Results

This paper is concerned with the numerical stability of Runge-Kutta methods for a class of nonlinear functional differential and functional equations. The sufficient conditions for the stability and asymptotic stability of(k,l)-algebraically stable Runge-Kutta methods are derived. A numerical test is given to confirm the theoretical results.

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