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Euler-Maclaurin Method for Linear Differential Equations with Piecewise Constant Arguments with One Delay : Stability and Oscillations
Joint Authors
Wang, Qi
Qiu, Shenshan
Wen, Jiechang
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper focuses on the stability and oscillations of Euler-Maclaurin method for linear differential equations with piecewise constant arguments u′(t) = au(t) + bu([t]).
The necessary and sufficient conditions under which the numerical stability region contains the analytical stability region are given.
Furthermore, the conditions of oscillation for the Euler-Maclaurin method are obtained.
We prove that the Euler-Maclaurin method preserves the oscillations of the analytic solution.
Moreover, the relationships between stability and oscillations are discussed for analytic solution and numerical solution, respectively.
Finally, some numerical experiments for verifying the theoretical analysis are also provided.
American Psychological Association (APA)
Wang, Qi& Wen, Jiechang& Qiu, Shenshan. 2013. Euler-Maclaurin Method for Linear Differential Equations with Piecewise Constant Arguments with One Delay : Stability and Oscillations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-455893
Modern Language Association (MLA)
Wang, Qi…[et al.]. Euler-Maclaurin Method for Linear Differential Equations with Piecewise Constant Arguments with One Delay : Stability and Oscillations. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-455893
American Medical Association (AMA)
Wang, Qi& Wen, Jiechang& Qiu, Shenshan. Euler-Maclaurin Method for Linear Differential Equations with Piecewise Constant Arguments with One Delay : Stability and Oscillations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-455893
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455893