An Economical First Order Runge-Kutta Method for Solving Ordinary Differential Equations

Authors

  • Lim Tian Hwee Foundation, Studies and Language Institute, University of Reading Malaysia, Persiaran Graduan, Educity, 79200 Iskandar Puteri, Johor, Malaysia.

Abstract

In this paper, we presented a type of Runge-Kutta method to solve initial value problems in Ordinary Differential Equations. Similar to Euler’s method, the new method is of order one, easy to implement and only require one function evaluation per step except the initial step. The only different is this method requires the information from the previous step. We studied the stability of the new method and numerical results are presented.

Keywords:

Economical Runge-Kutta Method, First Order, Ordinary Differential Equations

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Published

2023-03-23

How to Cite

Lim Tian Hwee. (2023). An Economical First Order Runge-Kutta Method for Solving Ordinary Differential Equations. Applied Mathematics and Computational Intelligence (AMCI), 8(1), 61–66. Retrieved from https://ejournal.unimap.edu.my/index.php/amci/article/view/183

Issue

Vol. 8 No. 1 (2019): December (2019)

Section

Articles