Author(s)

Ashiribo Senapon Wusu¹, Moses Adebowale Akanbi¹, Bakre Omolara Fatimah²

¹Department of Mathematics, Lagos State University, Lagos, Nigeria.
²Department of Mathematics, Federal College of Education (Technical), Lagos, Nigeria.

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.

Explicit, Harmonic, Runge-Kutta, Autonomous

Wusu, A. , Akanbi, M. and Fatimah, B. (2015) On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method*. Applied Mathematics, 6, 694-699. doi: 10.4236/am.2015.64064.