A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly
Joint Authors
Waeleh, Nazreen
Abdul Majid, Zanariah
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
An alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size.
The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs.
To validate the proposed method, the consistency and zero stability are also discussed.
The improved performance of the developed method is demonstrated by comparing it with the existing methods and the results showed that the 4-point block method is suitable for solving fifth-order IVPs.
American Psychological Association (APA)
Waeleh, Nazreen& Abdul Majid, Zanariah. 2016. A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1106335
Modern Language Association (MLA)
Waeleh, Nazreen& Abdul Majid, Zanariah. A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1106335
American Medical Association (AMA)
Waeleh, Nazreen& Abdul Majid, Zanariah. A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1106335
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106335