Partitioning ordinary differential equations using multistep formulas.
This paper focuses on solving Ordinary Differential Equations (ODEs) using partitioning technique known as Intervalwise Partitioning Block (IPB) method which is based on Block Backward Differentiation Formulas (BBDF) and Block Adams Formulas. Method based on BBDF requires Newton-like iteration invol...
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| Format: | Article |
| Language: | English |
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World Academy of Science Engineering and Technology
2008
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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/16054/ |
| _version_ | 1848842853111824384 |
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| author | Suleiman, Mohamed Ibrahim, Zarina Bibi Othman, Khairil Iskandar |
| author_facet | Suleiman, Mohamed Ibrahim, Zarina Bibi Othman, Khairil Iskandar |
| author_sort | Suleiman, Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper focuses on solving Ordinary Differential Equations (ODEs) using partitioning technique known as Intervalwise Partitioning Block (IPB) method which is based on Block Backward Differentiation Formulas (BBDF) and Block Adams Formulas. Method based on BBDF requires Newton-like iteration involving the Jacobian matrix of the ODEs. These matrix operations in the iteration scheme are expensive and require a considerable amount of computational effort. Therefore, IPB technique is developed to reduce the cost of these iterations. Numerical results indicate that the IPB strategy reduce the execution time while accuracy is maintained.
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| first_indexed | 2025-11-15T08:05:44Z |
| format | Article |
| id | upm-16054 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:05:44Z |
| publishDate | 2008 |
| publisher | World Academy of Science Engineering and Technology |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-160542013-07-18T00:55:28Z http://psasir.upm.edu.my/id/eprint/16054/ Partitioning ordinary differential equations using multistep formulas. Suleiman, Mohamed Ibrahim, Zarina Bibi Othman, Khairil Iskandar This paper focuses on solving Ordinary Differential Equations (ODEs) using partitioning technique known as Intervalwise Partitioning Block (IPB) method which is based on Block Backward Differentiation Formulas (BBDF) and Block Adams Formulas. Method based on BBDF requires Newton-like iteration involving the Jacobian matrix of the ODEs. These matrix operations in the iteration scheme are expensive and require a considerable amount of computational effort. Therefore, IPB technique is developed to reduce the cost of these iterations. Numerical results indicate that the IPB strategy reduce the execution time while accuracy is maintained. World Academy of Science Engineering and Technology 2008 Article PeerReviewed Suleiman, Mohamed and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar (2008) Partitioning ordinary differential equations using multistep formulas. World Academy of Science, Engineering and Technology, 16. pp. 52-53. ISSN 2010-376X Differential equations. Differential equations - Numerical solutions. English |
| spellingShingle | Differential equations. Differential equations - Numerical solutions. Suleiman, Mohamed Ibrahim, Zarina Bibi Othman, Khairil Iskandar Partitioning ordinary differential equations using multistep formulas. |
| title | Partitioning ordinary differential equations using multistep formulas.
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| title_full | Partitioning ordinary differential equations using multistep formulas.
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| title_fullStr | Partitioning ordinary differential equations using multistep formulas.
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| title_full_unstemmed | Partitioning ordinary differential equations using multistep formulas.
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| title_short | Partitioning ordinary differential equations using multistep formulas.
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| title_sort | partitioning ordinary differential equations using multistep formulas. |
| topic | Differential equations. Differential equations - Numerical solutions. |
| url | http://psasir.upm.edu.my/id/eprint/16054/ |