%0 Journal Article
%T Optimal Method of Runge-Kutta of Order 5 | Michael | Journal of Mathematics Research | CCSE
%J Home | Journal of Mathematics Research | CCSE
%D 2019
%R 10.5539/jmr.v11n1p93
%X The Runge-Kutta method of order 5 with 6 stages requires finding a matrix A, whose coefficients must satisfy a system of nonlinear polynomial equations. Butcher found a 5-parameter family of solutions, which displays different characteristics depending on whether b2= 0 or b2, 0. This paper presents an optimal method in the case b2= 0, which is significantly better than several popular methods of order 4
%U http://www.ccsenet.org/journal/index.php/jmr/article/view/0/38316