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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/4477/1/15%2520Zanariah.pdf
http://journalarticle.ukm.my/4477/
http://www.ukm.my/jsm/
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spelling my-ukm.journal.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/
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
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/4477/1/15%2520Zanariah.pdf
http://journalarticle.ukm.my/4477/
http://www.ukm.my/jsm/
_version_ 1643736091307540480
score 13.18916

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