A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nyström (RKN) method was developed to integrate second-order differential equations of the form yʺ = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a ‘small’ principal local...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2010
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| Online Access: | http://journalarticle.ukm.my/7384/ http://journalarticle.ukm.my/7384/1/01_Md_Yeaminhossain.pdf |
| _version_ | 1848811464743190528 |
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| author | Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman, |
| author_facet | Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman, |
| author_sort | Norazak Senu, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nyström (RKN) method was developed to integrate second-order differential equations of the form yʺ = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a ‘small’ principal local truncation error coefficient. The stability analysis of the method derived is also given. Numerical comparisons of this new method with RK4(3) and RKN4(3)D methods show its clear advantage in terms of function evaluations and computation time. |
| first_indexed | 2025-11-14T23:46:49Z |
| format | Article |
| id | oai:generic.eprints.org:7384 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:46:49Z |
| publishDate | 2010 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:73842016-12-14T06:43:55Z http://journalarticle.ukm.my/7384/ A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman, A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nyström (RKN) method was developed to integrate second-order differential equations of the form yʺ = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a ‘small’ principal local truncation error coefficient. The stability analysis of the method derived is also given. Numerical comparisons of this new method with RK4(3) and RKN4(3)D methods show its clear advantage in terms of function evaluations and computation time. Universiti Kebangsaan Malaysia 2010-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7384/1/01_Md_Yeaminhossain.pdf Norazak Senu, and Mohamed Suleiman, and Fudziah Ismail, and Mohamed Othman, (2010) A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems. Sains Malaysiana, 39 (4). pp. 639-646. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol39num4_2010/contentsVol39num4_2010.html |
| spellingShingle | Norazak Senu, Mohamed Suleiman, Fudziah Ismail, Mohamed Othman, A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems |
| title | A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems |
| title_full | A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems |
| title_fullStr | A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems |
| title_full_unstemmed | A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems |
| title_short | A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems |
| title_sort | 4(3) pair runge-kutta-nystršm method for periodic initial value problems |
| url | http://journalarticle.ukm.my/7384/ http://journalarticle.ukm.my/7384/ http://journalarticle.ukm.my/7384/1/01_Md_Yeaminhossain.pdf |