Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations
Joint Authors
Wen, Liping
Yu, Yuexin
Liu, Zhongyan
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yu, Yuexin& Liu, Zhongyan& Wen, Liping. 2014. Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-484681
Modern Language Association (MLA)
Yu, Yuexin…[et al.]. Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-484681
American Medical Association (AMA)
Yu, Yuexin& Liu, Zhongyan& Wen, Liping. Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-484681
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484681
