Zero-dissipative explicit Runge-Kutta method for periodic initial value problems

• Main Authors: Senu, Norazak, Kasim, I. A., Ismail, Fudziah, Bachok @ Lati, Norfifah
• Format: Article
• Language: English
• Published: World Academy of Science, Engineering and Technology 2014
• Online Access: http://psasir.upm.edu.my/id/eprint/36043/1/Zero-dissipative%20explicit%20Runge-Kutta%20method%20for%20periodic%20initial%20value%20problems.pdf; http://psasir.upm.edu.my/id/eprint/36043/; http://waset.org/Publications/?path=Publications&q=+Zero-Dissipative+Explicit+Runge-Kutta+Method+for+Periodic+Initial+Value+Problems&search=Search

In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation...