A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs

• Main Authors: Alshareeda, Firas Adel Fawzi, Senu, Norazak, Ismail, Fudziah, Abdul Majid, Zanariah
• Format: Article
• Language: English
• Published: Indian Society for Education and Environment 2016
• Online Access: http://psasir.upm.edu.my/id/eprint/51861/1/A%20fourth%20algebraic%20order%20explicit%20trigonometrically-%20fitted%20modified%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20IVPs.pdf; http://psasir.upm.edu.my/id/eprint/51861/; http://www.indjst.org/index.php/indjst/article/view/97774

This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method for solving first-order differential equations with periodic solutions. The newly developed method was made according to the method of Runge-Kutta Dorm and to fourth algebraic order. Numerical results...