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

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DOI: 10.4236/am.2015.64064    3,027 Downloads   3,684 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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