A third order Runge-Kutta method based on a convex combination of Lehmer means
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.
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.
Cite this article
E. D. Jayanti, M. Imran, S. _, 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/jmcs/3809
BibTeX
@article{Jayanti2018,
author = {Jayanti, Endah Dwi and Imran, M. and _, Syamsudhuha},
title = {A third order Runge-Kutta method based on a convex combination of Lehmer means},
journal = {J. Math. Comput. Sci.},
volume = {8},
year = {2018},
pages = {673--682},
doi = {10.28919/jmcs/3809}
}