A new algorithm for solving higher order IVPs of ODEs
In this paper, aPk-1E(CkE)m scheme of 3-point block method for solving general higher order ordinary differential equations (ODEs) directly is considered. This direct multistep integration method is implemented with variable step size strategy and the approximation solution will be computed at three...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hikari Ltd.
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24811/ http://psasir.upm.edu.my/id/eprint/24811/1/24811.pdf |
| _version_ | 1848845138167595008 |
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| author | Waeleh, Nazreen Abdul Majid, Zanariah Ismail, Fudziah |
| author_facet | Waeleh, Nazreen Abdul Majid, Zanariah Ismail, Fudziah |
| author_sort | Waeleh, Nazreen |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, aPk-1E(CkE)m scheme of 3-point block method for solving general higher order ordinary differential equations (ODEs) directly is considered. This direct multistep integration method is implemented with variable step size strategy and the approximation solution will be computed at three points simultaneously. Several tested problems of higher order initial value problems (IVPs) of ODEs are taken into account to emphasize the main features of the proposed method. |
| first_indexed | 2025-11-15T08:42:03Z |
| format | Article |
| id | upm-24811 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:42:03Z |
| publishDate | 2011 |
| publisher | Hikari Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-248112017-09-28T03:26:57Z http://psasir.upm.edu.my/id/eprint/24811/ A new algorithm for solving higher order IVPs of ODEs Waeleh, Nazreen Abdul Majid, Zanariah Ismail, Fudziah In this paper, aPk-1E(CkE)m scheme of 3-point block method for solving general higher order ordinary differential equations (ODEs) directly is considered. This direct multistep integration method is implemented with variable step size strategy and the approximation solution will be computed at three points simultaneously. Several tested problems of higher order initial value problems (IVPs) of ODEs are taken into account to emphasize the main features of the proposed method. Hikari Ltd. 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24811/1/24811.pdf Waeleh, Nazreen and Abdul Majid, Zanariah and Ismail, Fudziah (2011) A new algorithm for solving higher order IVPs of ODEs. Applied Mathematical Sciences, 5 (56). pp. 2795-2805. ISSN 1312-885X; ESSN: 1314-7552 http://www.m-hikari.com/ams/ams-2011/ams-53-56-2011/index.html |
| spellingShingle | Waeleh, Nazreen Abdul Majid, Zanariah Ismail, Fudziah A new algorithm for solving higher order IVPs of ODEs |
| title | A new algorithm for solving higher order IVPs of ODEs |
| title_full | A new algorithm for solving higher order IVPs of ODEs |
| title_fullStr | A new algorithm for solving higher order IVPs of ODEs |
| title_full_unstemmed | A new algorithm for solving higher order IVPs of ODEs |
| title_short | A new algorithm for solving higher order IVPs of ODEs |
| title_sort | new algorithm for solving higher order ivps of odes |
| url | http://psasir.upm.edu.my/id/eprint/24811/ http://psasir.upm.edu.my/id/eprint/24811/ http://psasir.upm.edu.my/id/eprint/24811/1/24811.pdf |