A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs
In this paper, a new three-stage Runge-Kutta-Nyström (RKN) method with two variable coefficients is constructed. The new method is based on Garcia's RKN method of algebraic order four. By using the idea of dispersion and dissipation of order infinity, a new method for solving second-order ordin...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57192/ http://psasir.upm.edu.my/id/eprint/57192/1/A%20three-stage%20dispersion%20and%20dissipation%20of%20order%20infinity%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20periodic%20IVPs.pdf |
| _version_ | 1848853296529276928 |
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| author | Moo, Kwong Wing Senu, Norazak Suleiman, Mohamed Ismail, Fudziah |
| author_facet | Moo, Kwong Wing Senu, Norazak Suleiman, Mohamed Ismail, Fudziah |
| author_sort | Moo, Kwong Wing |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new three-stage Runge-Kutta-Nyström (RKN) method with two variable coefficients is constructed. The new method is based on Garcia's RKN method of algebraic order four. By using the idea of dispersion and dissipation of order infinity, a new method for solving second-order ordinary differential equations (ODE) with periodic solutions is derived. Numerical tests show that the new method is more accurate than the other existing methods that were derived in the past. |
| first_indexed | 2025-11-15T10:51:43Z |
| format | Conference or Workshop Item |
| id | upm-57192 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:43Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571922017-09-08T09:43:33Z http://psasir.upm.edu.my/id/eprint/57192/ A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs Moo, Kwong Wing Senu, Norazak Suleiman, Mohamed Ismail, Fudziah In this paper, a new three-stage Runge-Kutta-Nyström (RKN) method with two variable coefficients is constructed. The new method is based on Garcia's RKN method of algebraic order four. By using the idea of dispersion and dissipation of order infinity, a new method for solving second-order ordinary differential equations (ODE) with periodic solutions is derived. Numerical tests show that the new method is more accurate than the other existing methods that were derived in the past. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57192/1/A%20three-stage%20dispersion%20and%20dissipation%20of%20order%20infinity%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20periodic%20IVPs.pdf Moo, Kwong Wing and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah (2013) A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 263-267). 10.1063/1.4823916 |
| spellingShingle | Moo, Kwong Wing Senu, Norazak Suleiman, Mohamed Ismail, Fudziah A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs |
| title | A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs |
| title_full | A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs |
| title_fullStr | A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs |
| title_full_unstemmed | A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs |
| title_short | A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs |
| title_sort | three-stage dispersion and dissipation of order infinity runge-kutta-nyström method for periodic ivps |
| url | http://psasir.upm.edu.my/id/eprint/57192/ http://psasir.upm.edu.my/id/eprint/57192/ http://psasir.upm.edu.my/id/eprint/57192/1/A%20three-stage%20dispersion%20and%20dissipation%20of%20order%20infinity%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20periodic%20IVPs.pdf |