A Runge-Kutta Method of Order 10

1 January 1978

journal article
research article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 21 (1) , 47-59
https://doi.org/10.1093/imamat/21.1.47

Abstract

In order to calculate a Runge-Kutta method of order 10, one has to solve a non-linear algebraic system of 1205 equations. We give here a special class of methods that needs only 17 function evaluations per step.

Keywords

FUNCTION
SPECIAL
EQUATIONS
ALGEBRAIC
GIVE
RUNGE KUTTA
SOLVE
KUTTA METHOD