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Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs

In this paper, a trigonometrically-fitted two derivative Runge-Kutta method (TFTDRK)of high algebraic order for the numerical integration of first order Initial Value Problems(IVPs) which possesses oscillatory solutions is constructed. Using the trigonometrically-fitted property, a sixth order four...

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Main Authors: Ahmad, Nur Amirah, Ismail, Fudziah, Senu, Norazak
Format: Article
Language:English
Published: Hacettepe University 2019
Online Access:http://psasir.upm.edu.my/id/eprint/82442/1/Trigonometrically-fitted%20higher%20order%20two%20derivative%20Runge-Kutta%20method%20for%20solving%20orbital%20and%20related%20periodical%20IVPs.pdf
http://psasir.upm.edu.my/id/eprint/82442/
https://dergipark.org.tr/en/pub/hujms/issue/49321/629826
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spelling my.upm.eprints.824422021-08-12T01:20:44Z http://psasir.upm.edu.my/id/eprint/82442/ Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs Ahmad, Nur Amirah Ismail, Fudziah Senu, Norazak In this paper, a trigonometrically-fitted two derivative Runge-Kutta method (TFTDRK)of high algebraic order for the numerical integration of first order Initial Value Problems(IVPs) which possesses oscillatory solutions is constructed. Using the trigonometrically-fitted property, a sixth order four stage Two Derivative Runge-Kutta (TDRK) methodis designed. The numerical experiments are carried out with the comparison with otherexisting Runge-Kutta methods (RK) to show the accuracy and efficiency of the derivedmethods. Hacettepe University 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82442/1/Trigonometrically-fitted%20higher%20order%20two%20derivative%20Runge-Kutta%20method%20for%20solving%20orbital%20and%20related%20periodical%20IVPs.pdf Ahmad, Nur Amirah and Ismail, Fudziah and Senu, Norazak (2019) Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs. Hacettepe Journal of Mathematics and Statistics, 48 (5). pp. 1312-1323. ISSN 2651-477X https://dergipark.org.tr/en/pub/hujms/issue/49321/629826 10.15672/HJMS.2018.568
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 In this paper, a trigonometrically-fitted two derivative Runge-Kutta method (TFTDRK)of high algebraic order for the numerical integration of first order Initial Value Problems(IVPs) which possesses oscillatory solutions is constructed. Using the trigonometrically-fitted property, a sixth order four stage Two Derivative Runge-Kutta (TDRK) methodis designed. The numerical experiments are carried out with the comparison with otherexisting Runge-Kutta methods (RK) to show the accuracy and efficiency of the derivedmethods.
format Article
author Ahmad, Nur Amirah
Ismail, Fudziah
Senu, Norazak
spellingShingle Ahmad, Nur Amirah
Ismail, Fudziah
Senu, Norazak
Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
author_facet Ahmad, Nur Amirah
Ismail, Fudziah
Senu, Norazak
author_sort Ahmad, Nur Amirah
title Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
title_short Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
title_full Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
title_fullStr Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
title_full_unstemmed Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
title_sort trigonometrically-fitted higher order two derivative runge-kutta method for solving orbital and related periodical ivps
publisher Hacettepe University
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/82442/1/Trigonometrically-fitted%20higher%20order%20two%20derivative%20Runge-Kutta%20method%20for%20solving%20orbital%20and%20related%20periodical%20IVPs.pdf
http://psasir.upm.edu.my/id/eprint/82442/
https://dergipark.org.tr/en/pub/hujms/issue/49321/629826
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score 13.211869

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