A third-order Nakashima pseudo-Runge-Kutta method
In this paper, we present a third order Nakashima pseudo-Runge-Kutta method. This method is derived by minimizing the error bound to determine the free parameters. Since the proposed method is only two-stages, it is cheaper than the traditional method. The stability of the method is analyzed and the...
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| Format: | Article |
| Language: | English |
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Sunway University
2014
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| Online Access: | http://eprints.sunway.edu.my/399/ http://eprints.sunway.edu.my/399/1/SAJ_10_2014_36-45%20%281%29.pdf |
| _version_ | 1848801813894004736 |
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| author | Lim, Tian Hwee |
| author_facet | Lim, Tian Hwee |
| author_sort | Lim, Tian Hwee |
| building | SU Institutional Repository |
| collection | Online Access |
| description | In this paper, we present a third order Nakashima pseudo-Runge-Kutta method. This method is derived by minimizing the error bound to determine the free parameters. Since the proposed method is only two-stages, it is cheaper than the traditional method. The stability of the method is analyzed and the numerical results are tabulated to compare with the traditional method. |
| first_indexed | 2025-11-14T21:13:25Z |
| format | Article |
| id | sunway-399 |
| institution | Sunway University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T21:13:25Z |
| publishDate | 2014 |
| publisher | Sunway University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | sunway-3992016-09-29T09:51:18Z http://eprints.sunway.edu.my/399/ A third-order Nakashima pseudo-Runge-Kutta method Lim, Tian Hwee QA Mathematics In this paper, we present a third order Nakashima pseudo-Runge-Kutta method. This method is derived by minimizing the error bound to determine the free parameters. Since the proposed method is only two-stages, it is cheaper than the traditional method. The stability of the method is analyzed and the numerical results are tabulated to compare with the traditional method. Sunway University 2014 Article PeerReviewed text en cc_by_nd http://eprints.sunway.edu.my/399/1/SAJ_10_2014_36-45%20%281%29.pdf Lim, Tian Hwee (2014) A third-order Nakashima pseudo-Runge-Kutta method. Sunway Academic Journal, 10. pp. 36-45. ISSN 1823-500X |
| spellingShingle | QA Mathematics Lim, Tian Hwee A third-order Nakashima pseudo-Runge-Kutta method |
| title | A third-order Nakashima pseudo-Runge-Kutta method |
| title_full | A third-order Nakashima pseudo-Runge-Kutta method |
| title_fullStr | A third-order Nakashima pseudo-Runge-Kutta method |
| title_full_unstemmed | A third-order Nakashima pseudo-Runge-Kutta method |
| title_short | A third-order Nakashima pseudo-Runge-Kutta method |
| title_sort | third-order nakashima pseudo-runge-kutta method |
| topic | QA Mathematics |
| url | http://eprints.sunway.edu.my/399/ http://eprints.sunway.edu.my/399/1/SAJ_10_2014_36-45%20%281%29.pdf |