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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Penerbit Universiti Kebangsaan Malaysia
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25311/1/25311.pdf |
| _version_ | 1796970733684916224 |
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| author | Abdul Majid, Zanariah Azmi, Nurul Asyikin Suleiman, Mohamed Ibrahim, Zarina Bibi |
| author_facet | Abdul Majid, Zanariah Azmi, Nurul Asyikin Suleiman, Mohamed Ibrahim, Zarina Bibi |
| author_sort | Abdul Majid, Zanariah |
| collection | UPM |
| 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 | 2024-03-06T08:02:27Z |
| format | Article |
| id | upm.eprints-25311 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:02:27Z |
| publishDate | 2012 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | upm.eprints-253112018-10-16T03:44:33Z http://psasir.upm.edu.my/id/eprint/25311/ Solving directly general third order ordinary differential equations using two-point four step block method Abdul Majid, Zanariah Azmi, Nurul Asyikin Suleiman, Mohamed Ibrahim, Zarina Bibi 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. Penerbit Universiti Kebangsaan Malaysia 2012 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/25311/1/25311.pdf Abdul Majid, Zanariah and Azmi, Nurul Asyikin and Suleiman, Mohamed and Ibrahim, Zarina Bibi (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/english_journals/vol41num5_2012/contentsVol41num5_2012.html |
| spellingShingle | Abdul Majid, Zanariah Azmi, Nurul Asyikin Suleiman, Mohamed Ibrahim, Zarina Bibi 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://psasir.upm.edu.my/id/eprint/25311/1/25311.pdf |
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