Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57443/ http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf |
| _version_ | 1848853367562960896 |
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| author | Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar |
| author_facet | Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar |
| author_sort | Zainuddin, Nooraini |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy. The comparison is presented between the new method and classical backward differentiation formulas (BDF) of order 3. |
| first_indexed | 2025-11-15T10:52:51Z |
| format | Conference or Workshop Item |
| id | upm-57443 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:51Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-574432017-09-27T10:47:17Z http://psasir.upm.edu.my/id/eprint/57443/ Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar The three point block method for solving second order ordinary differential equations (ODEs) directly using constant step size is derived. The reliability of this new method is verified in the numerical results with the improved performance in terms of computation time while maintaining the accuracy. The comparison is presented between the new method and classical backward differentiation formulas (BDF) of order 3. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar (2014) Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations. In: 3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014), 3-5 June 2014, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 69-75). 10.1063/1.4898447 |
| spellingShingle | Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
| title | Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
| title_full | Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
| title_fullStr | Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
| title_full_unstemmed | Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
| title_short | Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
| title_sort | diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57443/ http://psasir.upm.edu.my/id/eprint/57443/ http://psasir.upm.edu.my/id/eprint/57443/1/Diagonally%20implicit%20block%20backward%20differentiation%20formula%20for%20solving%20linear%20second%20order%20ordinary%20differential%20equations.pdf |