Second derivative multistep method for solving first-order ordinary differential equations
In this paper, a new second derivative multistep method was constructed to solve first order ordinary differential equations (ODEs). In particular, we used the new method as a corrector method and 5-steps Adam’s Bashforth method as a predictor method to solve first order (ODEs). Numerical results we...
| 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/57188/1/Second%20derivative%20multistep%20method%20for%20solving%20first-order%20ordinary%20differential%20equations.pdf |
| _version_ | 1796976640888143872 |
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| author | Turki, Mohammed Yousif Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_facet | Turki, Mohammed Yousif Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_sort | Turki, Mohammed Yousif |
| collection | UPM |
| description | In this paper, a new second derivative multistep method was constructed to solve first order ordinary differential equations (ODEs). In particular, we used the new method as a corrector method and 5-steps Adam’s Bashforth method as a predictor method to solve first order (ODEs). Numerical results were compared with the existing methods which clearly showed the efficiency of the new method. |
| first_indexed | 2024-03-06T09:28:38Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57188 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:38Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-571882017-09-08T09:43:27Z http://psasir.upm.edu.my/id/eprint/57188/ Second derivative multistep method for solving first-order ordinary differential equations Turki, Mohammed Yousif Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi In this paper, a new second derivative multistep method was constructed to solve first order ordinary differential equations (ODEs). In particular, we used the new method as a corrector method and 5-steps Adam’s Bashforth method as a predictor method to solve first order (ODEs). Numerical results were compared with the existing methods which clearly showed the efficiency of the new method. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57188/1/Second%20derivative%20multistep%20method%20for%20solving%20first-order%20ordinary%20differential%20equations.pdf Turki, Mohammed Yousif and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2016) Second derivative multistep method for solving first-order ordinary differential equations. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8). 10.1063/1.4952534 |
| spellingShingle | Turki, Mohammed Yousif Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi Second derivative multistep method for solving first-order ordinary differential equations |
| title | Second derivative multistep method for solving first-order ordinary differential equations |
| title_full | Second derivative multistep method for solving first-order ordinary differential equations |
| title_fullStr | Second derivative multistep method for solving first-order ordinary differential equations |
| title_full_unstemmed | Second derivative multistep method for solving first-order ordinary differential equations |
| title_short | Second derivative multistep method for solving first-order ordinary differential equations |
| title_sort | second derivative multistep method for solving first order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57188/1/Second%20derivative%20multistep%20method%20for%20solving%20first-order%20ordinary%20differential%20equations.pdf |
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