A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems

• Main Authors: Mohamad, Munirah, Senu, Norazak, Suleiman, Mohamed, Ismail, Fudziah
• Format: Conference or Workshop Item
• Language: English
• Published: AIP Publishing LLC 2013
• Online Access: http://psasir.upm.edu.my/id/eprint/57213/1/A%20fifth%20order%20phase-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20periodic%20initial%20value%20problems.pdf; http://psasir.upm.edu.my/id/eprint/57213/

A new Runge-Kutta-Nyström (RKN) method with phase-lag of order infinity for solving second order periodic initial value problems possessing oscillating solutions is derived in this paper. The derivation of phase-fitted four stage explicit RKN method with algebraic order five is discussed. The numeri...