Predictor-corrector block method of order seven for solving third order ordinary differential equations
This paper discusses the development of a new predictor-corrector block method of order seven for direct solution of third order initial value problems. The approach adopted in the derivation of the new numerical method is interpolation and collocation whereby power series approximate solution is u...
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| Format: | Article |
| Language: | English |
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2016
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| Online Access: | https://repo.uum.edu.my/id/eprint/27960/1/IJMA%2010%205%202016%20223%20235.pdf |
| _version_ | 1803629379306127360 |
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| author | Omar, Zurni Abdullahi, Y. A. Kuboye, J. O. |
| author_facet | Omar, Zurni Abdullahi, Y. A. Kuboye, J. O. |
| author_sort | Omar, Zurni |
| collection | UUM |
| description | This paper discusses the development of a new predictor-corrector block method of order seven for direct solution of third order initial value problems. The approach adopted in the derivation of the new numerical method is interpolation
and collocation whereby power series approximate solution is used as an interpolation polynomial and its highest derivative is considered as a collocation equation. The properties of the new developed method such as zero-stability, order, error constant, consistency and convergence are investigated. The new method was applied to some third order ordinary differential equations in order to examine its accuracy and the results produced are found better when compared with the existing methods in terms of error. |
| first_indexed | 2024-07-04T06:36:55Z |
| format | Article |
| id | uum-27960 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:55Z |
| publishDate | 2016 |
| record_format | dspace |
| spelling | uum-279602020-12-13T06:09:04Z https://repo.uum.edu.my/id/eprint/27960/ Predictor-corrector block method of order seven for solving third order ordinary differential equations Omar, Zurni Abdullahi, Y. A. Kuboye, J. O. QA75 Electronic computers. Computer science This paper discusses the development of a new predictor-corrector block method of order seven for direct solution of third order initial value problems. The approach adopted in the derivation of the new numerical method is interpolation and collocation whereby power series approximate solution is used as an interpolation polynomial and its highest derivative is considered as a collocation equation. The properties of the new developed method such as zero-stability, order, error constant, consistency and convergence are investigated. The new method was applied to some third order ordinary differential equations in order to examine its accuracy and the results produced are found better when compared with the existing methods in terms of error. 2016 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27960/1/IJMA%2010%205%202016%20223%20235.pdf Omar, Zurni and Abdullahi, Y. A. and Kuboye, J. O. (2016) Predictor-corrector block method of order seven for solving third order ordinary differential equations. International Journal of Mathematical Analysis, 10 (5). pp. 223-235. ISSN 13147579 http://doi.org/10.12988/ijma.2016.510266 doi:10.12988/ijma.2016.510266 doi:10.12988/ijma.2016.510266 |
| spellingShingle | QA75 Electronic computers. Computer science Omar, Zurni Abdullahi, Y. A. Kuboye, J. O. Predictor-corrector block method of order seven for solving third order ordinary differential equations |
| title | Predictor-corrector block method of order seven for solving third order ordinary differential equations |
| title_full | Predictor-corrector block method of order seven for solving third order ordinary differential equations |
| title_fullStr | Predictor-corrector block method of order seven for solving third order ordinary differential equations |
| title_full_unstemmed | Predictor-corrector block method of order seven for solving third order ordinary differential equations |
| title_short | Predictor-corrector block method of order seven for solving third order ordinary differential equations |
| title_sort | predictor corrector block method of order seven for solving third order ordinary differential equations |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27960/1/IJMA%2010%205%202016%20223%20235.pdf |
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