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

Eko Setiawan, M. Imran, _ Syamsudhuha

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.

How to Cite this Article

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

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.