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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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Main Authors: Salama, Tahani Mohamed, Senu, Norazak, Ibrahim, Zarina Bibi, Nik Long, Nik Mohd Asri
Format: Article
Language:English
Published: Hindawi 2018
Online Access:http://psasir.upm.edu.my/id/eprint/72682/1/Exponentially%20fitted%20and%20trigonometrically%20fitted.pdf
http://psasir.upm.edu.my/id/eprint/72682/
https://www.hindawi.com/journals/mpe/2018/7689854/
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Salama, Tahani Mohamed
Senu, Norazak
Ibrahim, Zarina Bibi
Nik Long, Nik Mohd Asri
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' )
author_facet Salama, Tahani Mohamed
Senu, Norazak
Ibrahim, Zarina Bibi
Nik Long, Nik Mohd Asri
author_sort Salama, Tahani Mohamed
title 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_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_sort exponentially-fitted and trigonometrically-fitted two derivative runge-kutta-nystrom methods for solving y''(x) = f(x, y, y' )
publisher Hindawi
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/72682/1/Exponentially%20fitted%20and%20trigonometrically%20fitted.pdf
http://psasir.upm.edu.my/id/eprint/72682/
https://www.hindawi.com/journals/mpe/2018/7689854/
_version_ 1685580233460154368
score 13.211869

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