Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Neutral Delay Differential Equations
Joint Authors
Song, Cheng
Wang, Peichen
Yuan, Haiyan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper is devoted to the stability and convergence analysis of the two-step Runge-Kutta (TSRK) methods with the Lagrange interpolation of the numerical solution for nonlinear neutral delay differential equations.
Nonlinear stability and D-convergence are introduced and proved.
We discuss the GR(l)-stability, GAR(l)-stability, and the weak GAR(l)-stability on the basis of (k,l)-algebraically stable of the TSRK methods; we also discuss the D-convergence properties of TSRK methods with a restricted type of interpolation procedure.
American Psychological Association (APA)
Yuan, Haiyan& Song, Cheng& Wang, Peichen. 2013. Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Neutral Delay Differential Equations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1032079
Modern Language Association (MLA)
Yuan, Haiyan…[et al.]. Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Neutral Delay Differential Equations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-1032079
American Medical Association (AMA)
Yuan, Haiyan& Song, Cheng& Wang, Peichen. Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Neutral Delay Differential Equations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1032079
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032079