Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' )

• Main Authors: Salama, Tahani Mohamed, Senu, Norazak, Ibrahim, Zarina Bibi, Nik Long, Nik Mohd Asri
• Format: Article
• Language: English
• Published: Hindawi 2018
• Online Access: http://psasir.upm.edu.my/id/eprint/72682/1/Exponentially%20fitted%20and%20trigonometrically%20fitted.pdf; http://psasir.upm.edu.my/id/eprint/72682/; https://www.hindawi.com/journals/mpe/2018/7689854/

Two exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-Nyström (TDRKN) methods are being constructed. Exponentially fitted and trigonometrically fitted TDRKN methods have the favorable feature that they integrate exactly second-order systems whose solutions are lin...