Fourth-order improved Runge–Kutta method for directly solving special third-order ordinary differential equations

• Main Authors: Hussain, Kasim Abbas, Ismail, Fudziah, Senu, Norazak, Rabiei, Faranak
• Format: Article
• Language: English
• Published: Springer 2017
• Online Access: http://psasir.upm.edu.my/id/eprint/57202/1/Fourth-order%20improved%20Runge%E2%80%93Kutta%20method%20for%20directly%20solving%20special%20third-order%20ordinary%20differential%20equations.pdf; http://psasir.upm.edu.my/id/eprint/57202/; https://rd.springer.com/article/10.1007/s40995-017-0258-1

In this paper, fourth-order improved Runge–Kutta method (IRKD) for directly solving a special third-order ordinary differential equation is constructed. The fourth-order IRKD method has a lower number of function evaluations compared with the fourth-order Runge–Kutta method. The stability polynomial...