On the convergence of two point block backward differentiation formula for second order ODEs
The Two Point Block Backward Differentiation Formula (BBDF2) is a direct solver for second order Ordinary Differential Equations (ODEs). It had shown its efficiency by having less total number of steps and less computational time over the first order ODEs solver. In this paper, the convergence of th...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57612/1/On%20the%20convergence%20of%20two%20point%20block%20backward%20differentiation%20formula%20for%20second%20order%20ODEs.pdf |
| _version_ | 1825931646604410880 |
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| author | Zainuddin, Nooraini Ibrahim, Zarina Bibi Jamaludin, Noraini |
| author_facet | Zainuddin, Nooraini Ibrahim, Zarina Bibi Jamaludin, Noraini |
| author_sort | Zainuddin, Nooraini |
| collection | UPM |
| description | The Two Point Block Backward Differentiation Formula (BBDF2) is a direct solver for second order Ordinary Differential Equations (ODEs). It had shown its efficiency by having less total number of steps and less computational time over the first order ODEs solver. In this paper, the convergence of the BBDF2 is justified by its consistency and zero-stability properties. |
| first_indexed | 2024-03-06T09:29:55Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57612 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:55Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-576122017-10-24T07:39:12Z http://psasir.upm.edu.my/id/eprint/57612/ On the convergence of two point block backward differentiation formula for second order ODEs Zainuddin, Nooraini Ibrahim, Zarina Bibi Jamaludin, Noraini The Two Point Block Backward Differentiation Formula (BBDF2) is a direct solver for second order Ordinary Differential Equations (ODEs). It had shown its efficiency by having less total number of steps and less computational time over the first order ODEs solver. In this paper, the convergence of the BBDF2 is justified by its consistency and zero-stability properties. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57612/1/On%20the%20convergence%20of%20two%20point%20block%20backward%20differentiation%20formula%20for%20second%20order%20ODEs.pdf Zainuddin, Nooraini and Ibrahim, Zarina Bibi and Jamaludin, Noraini (2016) On the convergence of two point block backward differentiation formula for second order ODEs. In: 4th International Conference of Fundamental and Applied Sciences (ICFAS 2016), 15-17 Aug. 2016, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 1-4). 10.1063/1.4968155 |
| spellingShingle | Zainuddin, Nooraini Ibrahim, Zarina Bibi Jamaludin, Noraini On the convergence of two point block backward differentiation formula for second order ODEs |
| title | On the convergence of two point block backward differentiation formula for second order ODEs |
| title_full | On the convergence of two point block backward differentiation formula for second order ODEs |
| title_fullStr | On the convergence of two point block backward differentiation formula for second order ODEs |
| title_full_unstemmed | On the convergence of two point block backward differentiation formula for second order ODEs |
| title_short | On the convergence of two point block backward differentiation formula for second order ODEs |
| title_sort | on the convergence of two point block backward differentiation formula for second order odes |
| url | http://psasir.upm.edu.my/id/eprint/57612/1/On%20the%20convergence%20of%20two%20point%20block%20backward%20differentiation%20formula%20for%20second%20order%20ODEs.pdf |
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