%0 Journal Article
%T A New Eighth Order Runge-Kutta Family Method | Hippolyte | Journal of Mathematics Research | CCSE
%A Assui Richard
%A S¨¦ka Hippolyte
%J Home | Journal of Mathematics Research | CCSE
%D 2019
%R 10.5539/jmr.v11n2p190
%X 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
%U http://www.ccsenet.org/journal/index.php/jmr/article/view/0/38930