Block method for third order ordinary differential equations
The problem of third order ordinary differential equations (ODEs) is solved directly by using the block backward differentiation formula. The block method is constructed by utilizing three back values and by differentiating the interpolating polynomial once, twice and thrice. Two approximated soluti...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57386/ http://psasir.upm.edu.my/id/eprint/57386/1/Block%20method%20for%20third%20order%20ordinary%20differential%20equations.pdf |
| _version_ | 1848853351765114880 |
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| author | Zainuddin, Nooraini Ibrahim, Zarina Bibi |
| author_facet | Zainuddin, Nooraini Ibrahim, Zarina Bibi |
| author_sort | Zainuddin, Nooraini |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The problem of third order ordinary differential equations (ODEs) is solved directly by using the block backward differentiation formula. The block method is constructed by utilizing three back values and by differentiating the interpolating polynomial once, twice and thrice. Two approximated solutions are generated concurrently for each integration step. Numerical results indicate the efficiency of the direct method than the usual approach of transforming it into the first order ODEs. |
| first_indexed | 2025-11-15T10:52:36Z |
| format | Conference or Workshop Item |
| id | upm-57386 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:36Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573862017-09-27T07:03:25Z http://psasir.upm.edu.my/id/eprint/57386/ Block method for third order ordinary differential equations Zainuddin, Nooraini Ibrahim, Zarina Bibi The problem of third order ordinary differential equations (ODEs) is solved directly by using the block backward differentiation formula. The block method is constructed by utilizing three back values and by differentiating the interpolating polynomial once, twice and thrice. Two approximated solutions are generated concurrently for each integration step. Numerical results indicate the efficiency of the direct method than the usual approach of transforming it into the first order ODEs. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57386/1/Block%20method%20for%20third%20order%20ordinary%20differential%20equations.pdf Zainuddin, Nooraini and Ibrahim, Zarina Bibi (2016) Block method for third order ordinary differential equations. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-5). 10.1063/1.4995919 |
| spellingShingle | Zainuddin, Nooraini Ibrahim, Zarina Bibi Block method for third order ordinary differential equations |
| title | Block method for third order ordinary differential equations |
| title_full | Block method for third order ordinary differential equations |
| title_fullStr | Block method for third order ordinary differential equations |
| title_full_unstemmed | Block method for third order ordinary differential equations |
| title_short | Block method for third order ordinary differential equations |
| title_sort | block method for third order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57386/ http://psasir.upm.edu.my/id/eprint/57386/ http://psasir.upm.edu.my/id/eprint/57386/1/Block%20method%20for%20third%20order%20ordinary%20differential%20equations.pdf |