Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method

• Main Authors: Hussain, Kasim, Ismail, Fudziah, Senu, Norazak
• Format: Article
• Language: English
• Published: Elsevier BV 2016
• Online Access: http://psasir.upm.edu.my/id/eprint/53850/1/Solving%20directly%20special%20fourth-order%20ordinary%20differential%20equations%20using%20Runge%E2%80%93Kutta%20type%20method.pdf; http://psasir.upm.edu.my/id/eprint/53850/; https://www.sciencedirect.com/science/article/pii/S0377042716301662#!
• Institution: Universiti Putra Malaysia

In this paper, an explicit Runge–Kutta method for solving directly fourth-order ordinary differential equations (ODEs) is constructed and denoted as (RKFD). We present a relevant-colored tree theory and the associated B-series theory for the order conditions. Based on the order conditions a three-st...