A new implicit block method for solving second order ordinary differential equations directly
This article considers the derivation of an implicit block method for the solution of initial value problems of ordinary differential equations directly. The method of interpolation and collocation is adopted in developing the method where approximated power series is used as an interpolation polyno...
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| Format: | Article |
| Language: | English |
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2015
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| Online Access: | https://repo.uum.edu.my/id/eprint/18609/1/GUJS%2028%204%202015%20689-694.pdf |
| _version_ | 1803627572391575552 |
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| author | Omar, Zurni Kuboye, John Olusola |
| author_facet | Omar, Zurni Kuboye, John Olusola |
| author_sort | Omar, Zurni |
| collection | UUM |
| description | This article considers the derivation of an implicit block method for the solution of initial value problems of ordinary differential equations directly. The method of interpolation and collocation is adopted in developing the method where approximated power series is used as an interpolation polynomial and its second derivative is collocated at the selected grid points where k=5.The method developed is zero stable, consistent and convergent. The generated numerical results show that the new method is better when compared with the existing methods of the same step-length in terms of error. |
| first_indexed | 2024-07-04T06:08:12Z |
| format | Article |
| id | uum-18609 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:08:12Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | uum-186092016-08-22T07:48:43Z https://repo.uum.edu.my/id/eprint/18609/ A new implicit block method for solving second order ordinary differential equations directly Omar, Zurni Kuboye, John Olusola QA Mathematics This article considers the derivation of an implicit block method for the solution of initial value problems of ordinary differential equations directly. The method of interpolation and collocation is adopted in developing the method where approximated power series is used as an interpolation polynomial and its second derivative is collocated at the selected grid points where k=5.The method developed is zero stable, consistent and convergent. The generated numerical results show that the new method is better when compared with the existing methods of the same step-length in terms of error. 2015 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/18609/1/GUJS%2028%204%202015%20689-694.pdf Omar, Zurni and Kuboye, John Olusola (2015) A new implicit block method for solving second order ordinary differential equations directly. Gazi University Journal of Science, 28 (4). pp. 689-694. ISSN 2147-1762 http://gujs.gazi.edu.tr/article/view/5000139888 |
| spellingShingle | QA Mathematics Omar, Zurni Kuboye, John Olusola A new implicit block method for solving second order ordinary differential equations directly |
| title | A new implicit block method for solving second order ordinary differential equations directly |
| title_full | A new implicit block method for solving second order ordinary differential equations directly |
| title_fullStr | A new implicit block method for solving second order ordinary differential equations directly |
| title_full_unstemmed | A new implicit block method for solving second order ordinary differential equations directly |
| title_short | A new implicit block method for solving second order ordinary differential equations directly |
| title_sort | new implicit block method for solving second order ordinary differential equations directly |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/18609/1/GUJS%2028%204%202015%20689-694.pdf |
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