On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method*

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.

DOI: 10.4236/am.2015.64064                

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.

Keywords

Explicit, Harmonic, Runge-Kutta, Autonomous

Conflicts of Interest

The authors declare no conflicts of interest.

References

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