A third order Runge-Kutta method based on a convex combination of Lehmer means

Endah Dwi Jayanti, M. Imran, Syamsudhuha _
DOI 10.28919/10.28919/jmcs/3809

Abstract

In this paper we introduce a modification of the third order Runge-Kutta method based on a convex combination of Lehmer means. The error of this method is also presented. The stability of this method is similar to the stability of third order Runge-Kutta method based on arithmetic mean. We end the discussion with two numerical examples to justify the effectiveness of the method.
Full Text: PDF

How to Cite this Article

Endah Dwi Jayanti, M. Imran, Syamsudhuha _, A third order Runge-Kutta method based on a convex combination of Lehmer means, J. Math. Comput. Sci., 8 (2018), 673-682. https://doi.org/10.28919/10.28919/jmcs/3809

Copyright © 2018 Endah Dwi Jayanti, M. Imran, Syamsudhuha _. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.