Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first ord...
| 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/57175/ http://psasir.upm.edu.my/id/eprint/57175/1/Linear%203%20and%205-step%20methods%20using%20Taylor%20series%20expansion%20for%20solving%20special%203rd%20order%20ODEs.pdf |
| _version_ | 1848853291843190784 |
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| author | Rajabi, Marzieh Ismail, Fudziah Senu, Norazak |
| author_facet | Rajabi, Marzieh Ismail, Fudziah Senu, Norazak |
| author_sort | Rajabi, Marzieh |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first order ordinary differential equations and then using the existing Runge-Kutta method. The numerical results have clearly shown the advantage and competency of the new methods. |
| first_indexed | 2025-11-15T10:51:39Z |
| format | Conference or Workshop Item |
| id | upm-57175 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:39Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571752017-09-08T05:30:10Z http://psasir.upm.edu.my/id/eprint/57175/ Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs Rajabi, Marzieh Ismail, Fudziah Senu, Norazak Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first order ordinary differential equations and then using the existing Runge-Kutta method. The numerical results have clearly shown the advantage and competency of the new methods. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57175/1/Linear%203%20and%205-step%20methods%20using%20Taylor%20series%20expansion%20for%20solving%20special%203rd%20order%20ODEs.pdf Rajabi, Marzieh and Ismail, Fudziah and Senu, Norazak (2016) Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8). http://aip.scitation.org/doi/abs/10.1063/1.4952516 10.1063/1.4952516 |
| spellingShingle | Rajabi, Marzieh Ismail, Fudziah Senu, Norazak Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs |
| title | Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs |
| title_full | Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs |
| title_fullStr | Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs |
| title_full_unstemmed | Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs |
| title_short | Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs |
| title_sort | linear 3 and 5-step methods using taylor series expansion for solving special 3rd order odes |
| url | http://psasir.upm.edu.my/id/eprint/57175/ http://psasir.upm.edu.my/id/eprint/57175/ http://psasir.upm.edu.my/id/eprint/57175/ http://psasir.upm.edu.my/id/eprint/57175/1/Linear%203%20and%205-step%20methods%20using%20Taylor%20series%20expansion%20for%20solving%20special%203rd%20order%20ODEs.pdf |