Two embedded pairs of Runge-Kutta type methods for direct solution of special fourth-order ordinary differential equations

• Main Authors: Hussain, Kasim, Ismail, Fudziah, Senu, Norazak
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2015
• Online Access: http://psasir.upm.edu.my/id/eprint/51877/1/51877.pdf; http://psasir.upm.edu.my/id/eprint/51877/; https://www.hindawi.com/journals/mpe/2015/196595/abs/
• Institution: Universiti Putra Malaysia

We present two pairs of embedded Runge-Kutta type methods for direct solution of fourth-order ordinary differential equations (ODEs) of the form y(iv)=f(x,y) denoted as RKFD methods. The first pair, which we will call RKFD5(4), has orders 5 and 4, and the second one has orders 6 and 5 and we will ca...