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 (...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2012
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| Online Access: | http://journalarticle.ukm.my/4477/ http://journalarticle.ukm.my/4477/1/15%2520Zanariah.pdf |
| _version_ | 1848810530763964416 |
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| author | Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Suleiman, |
| author_facet | Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Suleiman, |
| author_sort | Zanariah Abdul Majid, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T23:31:59Z |
| format | Article |
| id | oai:generic.eprints.org:4477 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:31:59Z |
| publishDate | 2012 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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/ |
| spellingShingle | Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Suleiman, Solving directly general third order ordinary differential equations using two-point four step block method |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/4477/ http://journalarticle.ukm.my/4477/ http://journalarticle.ukm.my/4477/1/15%2520Zanariah.pdf |