A 4-Point Block Method For Solving Higher Order Ordinary Differential Equations Directly

Nazreen, Waeleh and Zanariah, Abdul Majid (2016) A 4-Point Block Method For Solving Higher Order Ordinary Differential Equations Directly. International Journal Of Mathematics And Mathematical Sciences, 2016. pp. 1-8. ISSN 0161-1712

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Abstract

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.

Item Type: Article
Subjects: T Technology > T Technology (General)
Divisions: Faculty of Electronics and Computer Engineering > Department of Telecommunication Engineering
Depositing User: Mohd Hannif Jamaludin
Date Deposited: 02 Sep 2016 00:10
Last Modified: 09 Sep 2021 03:20
URI: http://eprints.utem.edu.my/id/eprint/17084
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