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Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We have presented a numerical integration method to solve a class of singularly perturbed delay differential equations with small shift.
First, we have replaced the second-order singularly perturbed delay differential equation by an asymptotically equivalent first-order delay differential equation.
Then, Simpson’s rule and linear interpolation are employed to get the three-term recurrence relation which is solved easily by discrete invariant imbedding algorithm.
The method is demonstrated by implementing it on several linear and nonlinear model examples by taking various values for the delay parameter δ and the perturbation parameter ε.
American Psychological Association (APA)
File, Gemechis& Reddy, Y. N.. 2012. Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift. International Journal of Differential Equations،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-481791
Modern Language Association (MLA)
File, Gemechis& Reddy, Y. N.. Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift. International Journal of Differential Equations No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-481791
American Medical Association (AMA)
File, Gemechis& Reddy, Y. N.. Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift. International Journal of Differential Equations. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-481791
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481791