Stability of Runge-Kutta Methods for Neutral Delay Differential Equations
This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. Numerical examples are given to confirm ou...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/127027 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568001893761024 |
|---|---|
| author | Liping Wen Xiong Liu Yuexin Yu |
| author_facet | Liping Wen Xiong Liu Yuexin Yu |
| author_sort | Liping Wen |
| collection | DOAJ |
| description | This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. Numerical examples are given to confirm our theoretical results. |
| format | Article |
| id | doaj-art-69bcbaeec46b40a5a38cc73539b06472 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-69bcbaeec46b40a5a38cc73539b064722025-02-03T00:59:59ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/127027127027Stability of Runge-Kutta Methods for Neutral Delay Differential EquationsLiping Wen0Xiong Liu1Yuexin Yu2School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, ChinaSchool of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, ChinaSchool of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, ChinaThis paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. Numerical examples are given to confirm our theoretical results.http://dx.doi.org/10.1155/2015/127027 |
| spellingShingle | Liping Wen Xiong Liu Yuexin Yu Stability of Runge-Kutta Methods for Neutral Delay Differential Equations Discrete Dynamics in Nature and Society |
| title | Stability of Runge-Kutta Methods for Neutral Delay Differential Equations |
| title_full | Stability of Runge-Kutta Methods for Neutral Delay Differential Equations |
| title_fullStr | Stability of Runge-Kutta Methods for Neutral Delay Differential Equations |
| title_full_unstemmed | Stability of Runge-Kutta Methods for Neutral Delay Differential Equations |
| title_short | Stability of Runge-Kutta Methods for Neutral Delay Differential Equations |
| title_sort | stability of runge kutta methods for neutral delay differential equations |
| url | http://dx.doi.org/10.1155/2015/127027 |
| work_keys_str_mv | AT lipingwen stabilityofrungekuttamethodsforneutraldelaydifferentialequations AT xiongliu stabilityofrungekuttamethodsforneutraldelaydifferentialequations AT yuexinyu stabilityofrungekuttamethodsforneutraldelaydifferentialequations |