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A New Eighth Order Runge-Kutta Family Method

Author

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  • Seka Hippolyte
  • Assui Kouassi Richard

Abstract

In this article, a new family of Runge-Kutta methods of 8^th order for solving ordinary differential equations is discovered and depends on the parameters b_8 and a_10;5. For b8 = 49/180 and a10;5 = 1/9, we find the Cooper-Verner method [1]. We show that the stability region depends only on coefficient a_10;5. We compare the stability regions according to the values of a_10;5 with respect to the stability region of Cooper-Verner.

Suggested Citation

  • Seka Hippolyte & Assui Kouassi Richard, 2019. "A New Eighth Order Runge-Kutta Family Method," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 190-199, April.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:190
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    More about this item

    Keywords

    Runge-Kutta; ordinary differential equations; Cooper-Verner; region of stability;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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