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

Endah Dwi Jayanti, M. Imran, Syamsudhuha _

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, Journal of Mathematical and Computational Science, Vol 8, No 6 (2018), 673-682

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.

J. Math. Comput. Sci.

ISSN: 1927-5307

Editorial Office: jmcs@scik.org

 

Copyright ©2018 JMCS