Skip to content
Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

Archives › Volume 6, Number 6 (2016)

J. Math. Comput. Sci. 6 (2016), 989–1001

A weighted fourth order Runge-Kutta method based on contra-harmonic mean

Eko Setiawan, M. Imran, _ Syamsudhuha

PDF (154.5 KB)

Abstract

This paper discusses a weighted fourth order Runge-Kutta method based on contra-harmonic mean to solve ordinary differential equations. The local truncation error and stability analysis for this method are presented. The numerical experiment reveals that the proposed method is suitable for solving the stiff initial value problems.

Published
26 October 2016
Volume
6 (2016)
License
CC BY 3.0

Copyright © 2016 Eko Setiawan, 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. Setiawan, M. Imran, _. Syamsudhuha, A weighted fourth order Runge-Kutta method based on contra-harmonic mean, J. Math. Comput. Sci. 6 (2016), 989–1001.

BibTeX
@article{Setiawan2016,
  author  = {Setiawan, Eko and Imran, M. and Syamsudhuha, _},
  title   = {A weighted fourth order Runge-Kutta method based on contra-harmonic mean},
  journal = {J. Math. Comput. Sci.},
  volume  = {6},
  year    = {2016},
  pages   = {989--1001},
  doi     = {}
}