Integration for special third-order ordinary differential equations using improved Runge-Kutta direct method

• Main Authors: Hussain, Kasim Abbas, Ismail, Fudziah, Senu, Norazak, Rabiei, Faranak, Ibrahim, Rabha Waell
• Format: Article
• Language: English
• Published: Faculty of Science, University of Malaya 2015
• Online Access: http://psasir.upm.edu.my/id/eprint/51961/1/Integration%20for%20special%20third-order%20ordinary%20differential%20equations%20using%20improved%20Runge-Kutta%20direct%20method.pdf; http://psasir.upm.edu.my/id/eprint/51961/; http://e-journal.um.edu.my/publish/MJS/925-1141
• Institution: Universiti Putra Malaysia

In this paper, we derive an explicit four stage fifth-order Improved Runge-Kutta (IRKD) method for numerical integration of special third-order ordinary differential equation. The method proposed here is two-step in nature and require less number of stages per step compared with the existing Runge-K...