New seven-step numerical method for direct solution of fourth order ordinary differential equations
A new numerical method for solving fourth order ordinary differential equations directly is proposed in this paper. Interpolation and collocation were employed in developing this method using seven steps. The use of the approximated power series as an interpolation equation was adopted in deriving t...
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| Format: | Article |
| Language: | English |
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Institute for Research and Community Services, Institut Teknologi Bandung
2016
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| Online Access: | https://repo.uum.edu.my/id/eprint/27969/1/JMFS%2048%202%202016%2094%20105.pdf |
| _version_ | 1803629381075075072 |
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| author | Omar, Zurni Kuboye, John Olusola |
| author_facet | Omar, Zurni Kuboye, John Olusola |
| author_sort | Omar, Zurni |
| collection | UUM |
| description | A new numerical method for solving fourth order ordinary differential equations directly is proposed in this paper. Interpolation and collocation were employed in developing this method using seven steps. The use of the approximated power series as an interpolation equation was adopted in deriving the method. The basic properties of the new method such as zero-stability, consistency, convergence and order are established. The numerical results indicate that the new method gives better accuracy than the existing methods when it is applied to fourth ordinary differential equations. |
| first_indexed | 2024-07-04T06:36:57Z |
| format | Article |
| id | uum-27969 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:57Z |
| publishDate | 2016 |
| publisher | Institute for Research and Community Services, Institut Teknologi Bandung |
| record_format | dspace |
| spelling | uum-279692020-12-22T02:23:56Z https://repo.uum.edu.my/id/eprint/27969/ New seven-step numerical method for direct solution of fourth order ordinary differential equations Omar, Zurni Kuboye, John Olusola QA75 Electronic computers. Computer science A new numerical method for solving fourth order ordinary differential equations directly is proposed in this paper. Interpolation and collocation were employed in developing this method using seven steps. The use of the approximated power series as an interpolation equation was adopted in deriving the method. The basic properties of the new method such as zero-stability, consistency, convergence and order are established. The numerical results indicate that the new method gives better accuracy than the existing methods when it is applied to fourth ordinary differential equations. Institute for Research and Community Services, Institut Teknologi Bandung 2016 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27969/1/JMFS%2048%202%202016%2094%20105.pdf Omar, Zurni and Kuboye, John Olusola (2016) New seven-step numerical method for direct solution of fourth order ordinary differential equations. Journal of Mathematical and Fundamental Sciences, 48 (2). pp. 94-105. ISSN 23375760 http://journals.itb.ac.id/index.php/jmfs/article/view/1446 |
| spellingShingle | QA75 Electronic computers. Computer science Omar, Zurni Kuboye, John Olusola New seven-step numerical method for direct solution of fourth order ordinary differential equations |
| title | New seven-step numerical method for direct solution of fourth order ordinary differential equations |
| title_full | New seven-step numerical method for direct solution of fourth order ordinary differential equations |
| title_fullStr | New seven-step numerical method for direct solution of fourth order ordinary differential equations |
| title_full_unstemmed | New seven-step numerical method for direct solution of fourth order ordinary differential equations |
| title_short | New seven-step numerical method for direct solution of fourth order ordinary differential equations |
| title_sort | new seven step numerical method for direct solution of fourth order ordinary differential equations |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27969/1/JMFS%2048%202%202016%2094%20105.pdf |
| work_keys_str_mv | AT omarzurni newsevenstepnumericalmethodfordirectsolutionoffourthorderordinarydifferentialequations AT kuboyejohnolusola newsevenstepnumericalmethodfordirectsolutionoffourthorderordinarydifferentialequations |