A trigonometrically adapted 6(4) explicit Runge–Kutta–Nyström pair to solve oscillating systems

• Main Authors: Ahmed Demba, Musa, Ramos, Higinio, Kumam, Poom, Watthayu, Wiboonsak, Senu, Norazak, Ahmed, Idris
• Format: Article
• Published: John Wiley & Sons 2022
• Online Access: http://psasir.upm.edu.my/id/eprint/100484/; https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.8528

In this study, a trigonometrically adapted 6(4) explicit Runge–Kutta–Nyström (RKN) pair with six stages is formulated, considering a previous method developed by El-Mikkawy and Rahmo. The obtained adapted pair integrates exactly the usual test equation: y" = w2y . The local truncation error of...