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An Asymptotic-Numerical Hybrid Method for Solving Singularly Perturbed Linear Delay Differential Equations
Author
Source
International Journal of Differential Equations
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this work, approximations to the solutions of singularly perturbed second-order linear delay differential equations are studied.
We firstly use two-term Taylor series expansion for the delayed convection term and obtain a singularly perturbed ordinary differential equation (ODE).
Later, an efficient and simple asymptotic method so called Successive Complementary Expansion Method (SCEM) is employed to obtain a uniformly valid approximation to this corresponding singularly perturbed ODE.
As the final step, we employ a numerical procedure to solve the resulting equations that come from SCEM procedure.
In order to show efficiency of this numerical-asymptotic hybrid method, we compare the results with exact solutions if possible; if not we compare with the results that are obtained by other reported methods.
American Psychological Association (APA)
Cengizci, Süleyman. 2017. An Asymptotic-Numerical Hybrid Method for Solving Singularly Perturbed Linear Delay Differential Equations. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1165864
Modern Language Association (MLA)
Cengizci, Süleyman. An Asymptotic-Numerical Hybrid Method for Solving Singularly Perturbed Linear Delay Differential Equations. International Journal of Differential Equations No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1165864
American Medical Association (AMA)
Cengizci, Süleyman. An Asymptotic-Numerical Hybrid Method for Solving Singularly Perturbed Linear Delay Differential Equations. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1165864
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1165864