A New Eighth Order Runge-Kutta Family Method

Seka Hippolyte and Assui Kouassi Richard

Journal of Mathematics Research, 2019, vol. 11, issue 2, 190-199

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.

Keywords: Runge-Kutta; ordinary differential equations; Cooper-Verner; region of stability (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:190

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