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Evans, D.J. and Yaacob, N.B. (1993) A New Fourth Order Runge-Kutta Formula Based on Harmonic Mean. Department of Computer Studies, Loughborough University of Technology, Loughborough.

has been cited by the following article:

• 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.