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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| Format: | Article |
| Language: | English |
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Hacettepe University
2019
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| 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 |
| _version_ | 1825951563098619904 |
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| author | Ahmad, Nur Amirah Ismail, Fudziah Senu, Norazak |
| author_facet | Ahmad, Nur Amirah Ismail, Fudziah Senu, Norazak |
| author_sort | Ahmad, Nur Amirah |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T10:31:53Z |
| format | Article |
| id | upm.eprints-82442 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:31:53Z |
| publishDate | 2019 |
| publisher | Hacettepe University |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Ahmad, Nur Amirah Ismail, Fudziah Senu, Norazak Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs |
| title | 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_short | 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 |
| 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 |
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