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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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 http://psasir.upm.edu.my/id/eprint/82442/ https://dergipark.org.tr/en/pub/hujms/issue/49321/629826 |
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| Summary: | 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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