Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations
This paper is concerned with stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are controlled by the initial perturbations from the syste...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2018/8241784 |
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| _version_ | 1832545725013032960 |
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| author | Hongyu Qin Zhiyong Wang Fumin Zhu Jinming Wen |
| author_facet | Hongyu Qin Zhiyong Wang Fumin Zhu Jinming Wen |
| author_sort | Hongyu Qin |
| collection | DOAJ |
| description | This paper is concerned with stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are controlled by the initial perturbations from the system and the methods. |
| format | Article |
| id | doaj-art-8abcf781a311450eb7ac899e3aaedae7 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-8abcf781a311450eb7ac899e3aaedae72025-02-03T07:24:54ZengWileyInternational Journal of Differential Equations1687-96431687-96512018-01-01201810.1155/2018/82417848241784Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential EquationsHongyu Qin0Zhiyong Wang1Fumin Zhu2Jinming Wen3Wenhua College, Wuhan 430074, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan 611731, ChinaCollege of Economics, Shenzhen University, Shenzhen 518060, ChinaDepartment of Electrical and Computer Engineering, University of Toronto, Toronto, M5S3G4, CanadaThis paper is concerned with stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are controlled by the initial perturbations from the system and the methods.http://dx.doi.org/10.1155/2018/8241784 |
| spellingShingle | Hongyu Qin Zhiyong Wang Fumin Zhu Jinming Wen Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations International Journal of Differential Equations |
| title | Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations |
| title_full | Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations |
| title_fullStr | Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations |
| title_full_unstemmed | Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations |
| title_short | Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations |
| title_sort | stability analysis of additive runge kutta methods for delay integro differential equations |
| url | http://dx.doi.org/10.1155/2018/8241784 |
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