Directly Solving Special Second Order Delay Differential Equations Using Runge-Kutta-Nyström Method
Joint Authors
Senu, Norazak
Mechee, M.
Ismail, F.
Siri, Z.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-27
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Runge-Kutta-Nyström (RKN) method is adapted for solving the special second order delay differential equations (DDEs).
The stability polynomial is obtained when this method is used for solving linear second order delay differential equation.
A standard set of test problems is solved using the method together with a cubic interpolation for evaluating the delay terms.
The same set of problems is reduced to a system of first order delay differential equations and then solved using the existing Runge-Kutta (RK) method.
Numerical results show that the RKN method is more efficient in terms of accuracy and computational time when compared to RK method.
The methods are applied to a well-known problem involving delay differential equations, that is, the Mathieu problem.
The numerical comparison shows that both methods are in a good agreement.
American Psychological Association (APA)
Mechee, M.& Ismail, F.& Senu, Norazak& Siri, Z.. 2013. Directly Solving Special Second Order Delay Differential Equations Using Runge-Kutta-Nyström Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010884
Modern Language Association (MLA)
Mechee, M.…[et al.]. Directly Solving Special Second Order Delay Differential Equations Using Runge-Kutta-Nyström Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1010884
American Medical Association (AMA)
Mechee, M.& Ismail, F.& Senu, Norazak& Siri, Z.. Directly Solving Special Second Order Delay Differential Equations Using Runge-Kutta-Nyström Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010884
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010884