Stability Analysis of Runge‐Kutta Methods for Nonlinear Functional Differential and Functional Equations

Yuexin Yu, Zhongyan Liu and Liping Wen

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/607827

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:607827

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().