Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods

Citation

Demba, Musa A. and Senu, Norazak and Ismail, Fudziah (2016) Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods. In: Recent Advances in Mathematical Sciences. Springer, Singapore, pp. 27-36. ISBN 9789811005176; EISBN: 9789811005190

Abstract

In this study, we derive fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström (ETFRKN) methods for the numerical integration of second-order initial value problems with oscillatory solutions based on Simos technique. The numerical results show the efficiency of the proposed methods in comparison with other Runge–Kutta–Nyström (RKN) Methods.

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Additional Metadata

Item Type:	Book Section
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1007/978-981-10-0519-0_3
Publisher:	Springer
Keywords:	Trigonometric fitting; RKN methods; Oscillatory solutions; Numerical integration; Initial value problems
Depositing User:	Azhar Abdul Rahman
Date Deposited:	05 Sep 2021 08:22
Last Modified:	05 Sep 2021 08:22
Altmetrics:	http://altmetrics.com-details.php?domain=psair.upm.edu.my&doi=10.1007/978-981-10-0519-0_3
URI:	http://psasir.upm.edu.my/id/eprint/52726
Statistic Details:	View Download Statistic

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