Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper deals with the singularly perturbed delay differential equations under boundary conditions.
A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations.
By aid of the collocation points and the matrix operations, the suggested scheme converts singularly perturbed problem into a matrix equation, and this matrix equation corresponds to a system of linear algebraic equations.
Also, an error analysis technique based on the residual function is introduced for the method.
Four examples are considered to demonstrate the performance of the proposed scheme, and the results are discussed.
American Psychological Association (APA)
Yüzbaşı, Şuayip& Sezer, Mehmet. 2013. Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-476038
Modern Language Association (MLA)
Yüzbaşı, Şuayip& Sezer, Mehmet. Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-476038
American Medical Association (AMA)
Yüzbaşı, Şuayip& Sezer, Mehmet. Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-476038
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476038