Fifth-order Runge-Kutta with higher order derivative approximations

Given $y'=f(y)$, standard Runge-Kutta methods perform multiple evaluations of $f(y)$ in each integration sub-interval as required for a given accuracy. Evaluations of $y''=f_{y}f$ or higher derivatives are not considered due to the assumption that the calculations involved in these fu...

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Bibliographic Details
Main Authors: David Goeken, Olin Johnson
Format: Article
Language:English
Published: Texas State University 1999-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/02/g1/abstr.html