Toward a two-step Runge–Kutta code for nonstiff differential systems
Volume 28 / 2001
Applicationes Mathematicae 28 (2001), 353-365
MSC: 65L05, 65L06.
DOI: 10.4064/am28-3-9
Abstract
Various issues related to the development of a new code for nonstiff differential equations are discussed. This code is based on two-step Runge–Kutta methods of order five and stage order five. Numerical experiments are presented which demonstrate that the new code is competitive with the Matlab ode45 program for all tolerances.