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A Fifth -Order Five-Stage RK-Method Based on Harmonic Mean

In: Differential Equations Theory, Numerics and Applications

Author

Listed:
  • Nazeeruddin Yaacob

    (Universiti Teknologi Malaysia, Department of Mathematics)

  • Bahrom Sanugi

    (Universiti Teknologi Malaysia, Department of Mathematics)

Abstract

In this paper a fifth-order five-stage Runge-Kutta formula based on Harmonic mean is developed for solving initial value problem of the type y′ = f(y), y(x 0) = y 0. The stability analysis reveals that the region of absolute stability for this method is larger than that of Taylor series’s method of order five. Numerical examples indicate that this method is superior when compared to some existing methods including the 5-stage GM-RK method, Taylor Series’s method of order 5, and RK5(6) method of Nystrom version.

Suggested Citation

  • Nazeeruddin Yaacob & Bahrom Sanugi, 1997. "A Fifth -Order Five-Stage RK-Method Based on Harmonic Mean," Springer Books, in: E. van Groesen & E. Soewono (ed.), Differential Equations Theory, Numerics and Applications, pages 381-389, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5157-3_26
    DOI: 10.1007/978-94-011-5157-3_26
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