Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' )
Two exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-Nyström (TDRKN) methods are being constructed. Exponentially fitted and trigonometrically fitted TDRKN methods have the favorable feature that they integrate exactly second-order systems whose solutions are lin...
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| Format: | Article |
| Language: | English |
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Hindawi
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/72682/ http://psasir.upm.edu.my/id/eprint/72682/1/Exponentially%20fitted%20and%20trigonometrically%20fitted.pdf |
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| author | Salama, Tahani Mohamed Senu, Norazak Ibrahim, Zarina Bibi Nik Long, Nik Mohd Asri |
| author_facet | Salama, Tahani Mohamed Senu, Norazak Ibrahim, Zarina Bibi Nik Long, Nik Mohd Asri |
| author_sort | Salama, Tahani Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Two exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-Nyström (TDRKN) methods are being constructed. Exponentially fitted and trigonometrically fitted TDRKN methods have the favorable feature that they integrate exactly second-order systems whose solutions are linear combinations of functions {exp(wx),exp(-wx)} and {sin(wx),cos(wx)} respectively, when w∈R , the frequency of the problem. The results of numerical experiments showed that the new approaches are more efficient than existing methods in the literature. |
| first_indexed | 2025-11-15T11:53:25Z |
| format | Article |
| id | upm-72682 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:53:25Z |
| publishDate | 2018 |
| publisher | Hindawi |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-726822020-11-30T09:09:40Z http://psasir.upm.edu.my/id/eprint/72682/ Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ) Salama, Tahani Mohamed Senu, Norazak Ibrahim, Zarina Bibi Nik Long, Nik Mohd Asri Two exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-Nyström (TDRKN) methods are being constructed. Exponentially fitted and trigonometrically fitted TDRKN methods have the favorable feature that they integrate exactly second-order systems whose solutions are linear combinations of functions {exp(wx),exp(-wx)} and {sin(wx),cos(wx)} respectively, when w∈R , the frequency of the problem. The results of numerical experiments showed that the new approaches are more efficient than existing methods in the literature. Hindawi 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72682/1/Exponentially%20fitted%20and%20trigonometrically%20fitted.pdf Salama, Tahani Mohamed and Senu, Norazak and Ibrahim, Zarina Bibi and Nik Long, Nik Mohd Asri (2018) Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ). Mathematical Problems in Engineering, 2018. art. no. 7689854. pp. 1-19. ISSN 1024-123X; ESSN: 1563-5147 https://www.hindawi.com/journals/mpe/2018/7689854/ 10.1155/2018/7689854 |
| spellingShingle | Salama, Tahani Mohamed Senu, Norazak Ibrahim, Zarina Bibi Nik Long, Nik Mohd Asri Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ) |
| title | Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ) |
| title_full | Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ) |
| title_fullStr | Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ) |
| title_full_unstemmed | Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ) |
| title_short | Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ) |
| title_sort | exponentially-fitted and trigonometrically-fitted two derivative runge-kutta-nystrom methods for solving y''(x) = f(x, y, y' ) |
| url | http://psasir.upm.edu.my/id/eprint/72682/ http://psasir.upm.edu.my/id/eprint/72682/ http://psasir.upm.edu.my/id/eprint/72682/ http://psasir.upm.edu.my/id/eprint/72682/1/Exponentially%20fitted%20and%20trigonometrically%20fitted.pdf |