Derivation of block predictor–block corrector method for direct solution of third order ordinary differential equations
This paper proposes a new numerical method with stepnumber k=5 for solving third order initial value problems of ordinary differential equations directly.Interpolation and collocation technique is applied in developing the method where power series approximate solution is used as a basis function an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Research India Publications
2016
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/27976/1/GJPAM%2012%201%202016%20343%20350.pdf |
| _version_ | 1803629382438223872 |
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| author | Abdullahi, Yahaya Aliyu Omar, Zurni Kuboye, John Olusola |
| author_facet | Abdullahi, Yahaya Aliyu Omar, Zurni Kuboye, John Olusola |
| author_sort | Abdullahi, Yahaya Aliyu |
| collection | UUM |
| description | This paper proposes a new numerical method with stepnumber k=5 for solving third order initial value problems of ordinary differential equations directly.Interpolation and collocation technique is applied in developing the method where power series approximate solution is used as a basis function and its third derivative as a collocation equation. The new method developed possesses the following properties namely zero–stability, consistency,
convergence and having order six for the main method. The application of the method to some third order initial value problems confirmed its superiority
over the existing method when compared in terms of error. |
| first_indexed | 2024-07-04T06:36:58Z |
| format | Article |
| id | uum-27976 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:58Z |
| publishDate | 2016 |
| publisher | Research India Publications |
| record_format | dspace |
| spelling | uum-279762020-12-22T02:29:26Z https://repo.uum.edu.my/id/eprint/27976/ Derivation of block predictor–block corrector method for direct solution of third order ordinary differential equations Abdullahi, Yahaya Aliyu Omar, Zurni Kuboye, John Olusola QA75 Electronic computers. Computer science This paper proposes a new numerical method with stepnumber k=5 for solving third order initial value problems of ordinary differential equations directly.Interpolation and collocation technique is applied in developing the method where power series approximate solution is used as a basis function and its third derivative as a collocation equation. The new method developed possesses the following properties namely zero–stability, consistency, convergence and having order six for the main method. The application of the method to some third order initial value problems confirmed its superiority over the existing method when compared in terms of error. Research India Publications 2016 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27976/1/GJPAM%2012%201%202016%20343%20350.pdf Abdullahi, Yahaya Aliyu and Omar, Zurni and Kuboye, John Olusola (2016) Derivation of block predictor–block corrector method for direct solution of third order ordinary differential equations. Global Journal of Pure and Applied Mathematics, 12 (1). pp. 343-350. ISSN 0973-1768 https://www.ripublication.com/Volume/gjpamv12n1.htm |
| spellingShingle | QA75 Electronic computers. Computer science Abdullahi, Yahaya Aliyu Omar, Zurni Kuboye, John Olusola Derivation of block predictor–block corrector method for direct solution of third order ordinary differential equations |
| title | Derivation of block predictor–block corrector
method for direct solution of third order ordinary
differential equations |
| title_full | Derivation of block predictor–block corrector
method for direct solution of third order ordinary
differential equations |
| title_fullStr | Derivation of block predictor–block corrector
method for direct solution of third order ordinary
differential equations |
| title_full_unstemmed | Derivation of block predictor–block corrector
method for direct solution of third order ordinary
differential equations |
| title_short | Derivation of block predictor–block corrector
method for direct solution of third order ordinary
differential equations |
| title_sort | derivation of block predictor block corrector method for direct solution of third order ordinary differential equations |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27976/1/GJPAM%2012%201%202016%20343%20350.pdf |
| work_keys_str_mv | AT abdullahiyahayaaliyu derivationofblockpredictorblockcorrectormethodfordirectsolutionofthirdorderordinarydifferentialequations AT omarzurni derivationofblockpredictorblockcorrectormethodfordirectsolutionofthirdorderordinarydifferentialequations AT kuboyejohnolusola derivationofblockpredictorblockcorrectormethodfordirectsolutionofthirdorderordinarydifferentialequations |