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Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs).
The adaptation of one-leg methods is considered.
It is proved that an A-stable one-leg method can preserve the global stability and a strongly A-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs.
Numerical tests are given to confirm the theoretical results.
American Psychological Association (APA)
Yu, Yuexin& Wen, Liping. 2015. Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060469
Modern Language Association (MLA)
Yu, Yuexin& Wen, Liping. Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1060469
American Medical Association (AMA)
Yu, Yuexin& Wen, Liping. Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060469
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060469