A novel explicit two-derivative Runge–Kutta–Nyström method with energy conservation for the integration of second-order periodic ODEs

A novel trigonometrically-fitted explicit two-derivative Runge-Kutta-Nyström (TFETDRKN(5)) method with three-stage and fifth-order for solving a class of special second-order (system) ODEs in the form of u'' = f (t,u) with periodic solutions is proposed. Order conditions of the new explici...

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Bibliographic Details
Main Authors: Sun, Zhuoyu, Lee, Khai Chien, Abdul Aziz, N.H., Hashim, Ishak, Alias, Mohd Almie, Senu, Norazak
Format: Article
Language:en
Published: New York Business Global 2025
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/123932/1/123932.pdf
http://psasir.upm.edu.my/id/eprint/123932/
https://www.ejpam.com/index.php/ejpam/article/view/6042
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