Solving directly general third order ordinary differential equations using two-point four step block method

Two-point four step direct implicit block method is presented by applying the simple form of Adams- Moulton method for solving directly the general third order ordinary differential equations (ODEs) using variable step size. This method is implemented to get the solutions of initial value problems (...

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Main Authors:	Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Suleiman
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2012
Online Access:	http://journalarticle.ukm.my/4477/ http://journalarticle.ukm.my/4477/ http://journalarticle.ukm.my/4477/1/15%2520Zanariah.pdf

id	ukm-4477
recordtype	eprints
spelling	ukm-44772016-12-14T06:36:08Z http://journalarticle.ukm.my/4477/ Solving directly general third order ordinary differential equations using two-point four step block method Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Suleiman, Two-point four step direct implicit block method is presented by applying the simple form of Adams- Moulton method for solving directly the general third order ordinary differential equations (ODEs) using variable step size. This method is implemented to get the solutions of initial value problems (IVPs) at two points simultaneously in a block using four backward steps. The numerical results showed that the performance of the developed method is better in terms of maximum error at all tested tolerances and lesser total number of steps as the tolerances getting smaller compared to the existence direct method. Universiti Kebangsaan Malaysia 2012-05 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/4477/1/15%2520Zanariah.pdf Zanariah Abdul Majid, and Nurul Asyikin Azmi, and Mohamed Suleiman, (2012) Solving directly general third order ordinary differential equations using two-point four step block method. Sains Malaysiana, 41 (5). pp. 623-632. ISSN 0126-6039 http://www.ukm.my/jsm/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	Two-point four step direct implicit block method is presented by applying the simple form of Adams- Moulton method for solving directly the general third order ordinary differential equations (ODEs) using variable step size. This method is implemented to get the solutions of initial value problems (IVPs) at two points simultaneously in a block using four backward steps. The numerical results showed that the performance of the developed method is better in terms of maximum error at all tested tolerances and lesser total number of steps as the tolerances getting smaller compared to the existence direct method.
format	Article
author	Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Suleiman,
spellingShingle	Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Suleiman, Solving directly general third order ordinary differential equations using two-point four step block method
author_facet	Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Suleiman,
author_sort	Zanariah Abdul Majid,
title	Solving directly general third order ordinary differential equations using two-point four step block method
title_short	Solving directly general third order ordinary differential equations using two-point four step block method
title_full	Solving directly general third order ordinary differential equations using two-point four step block method
title_fullStr	Solving directly general third order ordinary differential equations using two-point four step block method
title_full_unstemmed	Solving directly general third order ordinary differential equations using two-point four step block method
title_sort	solving directly general third order ordinary differential equations using two-point four step block method
publisher	Universiti Kebangsaan Malaysia
publishDate	2012
url	http://journalarticle.ukm.my/4477/ http://journalarticle.ukm.my/4477/ http://journalarticle.ukm.my/4477/1/15%2520Zanariah.pdf
first_indexed	2023-09-18T19:41:39Z
last_indexed	2023-09-18T19:41:39Z
_version_	1777405630223482880

Solving directly general third order ordinary differential equations using two-point four step block method

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