Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.15672/HJMS.2018.568 |
| Publisher: | Hacettepe University |
| Keywords: | Two derivative Runge-Kutta method; Trigonometrically-fitted; Ordinary differential equations; Initial value problems |
| Depositing User: | Mr. Sazali Mohamad |
| Date Deposited: | 12 Aug 2021 01:20 |
| Last Modified: | 12 Aug 2021 01:20 |
| Altmetrics: | http://www.altmetrics.com/details.php?domain=pasir.upm.edu.my&doi=10.15672/HJMS.2018.568 |
| URI: | http://psasir.upm.edu.my/id/eprint/82442 |
| Statistic Details: | View Download Statistic |
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