TITLE:
On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method*
AUTHORS:
Ashiribo Senapon Wusu, Moses Adebowale Akanbi, Bakre Omolara Fatimah
KEYWORDS:
Explicit, Harmonic, Runge-Kutta, Autonomous
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.4,
April
23,
2015
ABSTRACT: In recent times, the derivation of Runge-Kutta methods based on averages other than the arithme-tic mean is on the rise. In this paper, the authors propose a new version of explicit Runge-Kutta method, by introducing the harmonic mean as against the usual arithmetic averages in standard Runge-Kutta schemes.