Numerical solution of second order ODE directly by two point block backward differentiation formula
Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57594/ http://psasir.upm.edu.my/id/eprint/57594/1/Numerical%20solution%20of%20second%20order%20ODE%20directly%20by%20two%20point%20block%20backward%20differentiation%20formula.pdf |
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| author | Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed Jamaludin, Noraini |
| author_facet | Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed Jamaludin, Noraini |
| author_sort | Zainuddin, Nooraini |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions are produced simultaneously at each step of integration. The method derived is implemented by using fixed step size and the numerical results that follow demonstrate the advantage of the direct method as compared to the reduction method. |
| first_indexed | 2025-11-15T10:53:32Z |
| format | Conference or Workshop Item |
| id | upm-57594 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:32Z |
| publishDate | 2015 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-575942017-10-24T06:19:04Z http://psasir.upm.edu.my/id/eprint/57594/ Numerical solution of second order ODE directly by two point block backward differentiation formula Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed Jamaludin, Noraini Direct Two Point Block Backward Differentiation Formula, (BBDF2) for solving second order ordinary differential equations (ODEs) will be presented throughout this paper. The method is derived by differentiating the interpolating polynomial using three back values. In BBDF2, two approximate solutions are produced simultaneously at each step of integration. The method derived is implemented by using fixed step size and the numerical results that follow demonstrate the advantage of the direct method as compared to the reduction method. AIP Publishing 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57594/1/Numerical%20solution%20of%20second%20order%20ODE%20directly%20by%20two%20point%20block%20backward%20differentiation%20formula.pdf Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed and Jamaludin, Noraini (2015) Numerical solution of second order ODE directly by two point block backward differentiation formula. In: 2nd Innovation and Analytics Conference & Exhibition (IACE 2015), 29 Sept.-1 Oct. 2015, TH Hotel, Alor Setar, Kedah. (pp. 1-6). 10.1063/1.4937080 |
| spellingShingle | Zainuddin, Nooraini Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed Jamaludin, Noraini Numerical solution of second order ODE directly by two point block backward differentiation formula |
| title | Numerical solution of second order ODE directly by two point block backward differentiation formula |
| title_full | Numerical solution of second order ODE directly by two point block backward differentiation formula |
| title_fullStr | Numerical solution of second order ODE directly by two point block backward differentiation formula |
| title_full_unstemmed | Numerical solution of second order ODE directly by two point block backward differentiation formula |
| title_short | Numerical solution of second order ODE directly by two point block backward differentiation formula |
| title_sort | numerical solution of second order ode directly by two point block backward differentiation formula |
| url | http://psasir.upm.edu.my/id/eprint/57594/ http://psasir.upm.edu.my/id/eprint/57594/ http://psasir.upm.edu.my/id/eprint/57594/1/Numerical%20solution%20of%20second%20order%20ODE%20directly%20by%20two%20point%20block%20backward%20differentiation%20formula.pdf |