Industrial applications of high order Runge-Kutta algorithms

Dynamic nonlinear systems put the problem of determining the response of the system. Numerical methods are frequently employed, as for example the regressive form of the Newton interpolation equation, generating extrapolation algorithms and predictor corrector algorithms. Runge-Kutta (R-R) algorithms or one step methods offer a solution in two distinct ways depending on the rank of the integration step and the identification of the coefficients. The paper presents a qualitative study of high-order Runge-Kutta algorithms and a method to solve high order R-K coefficient system. Using a tool for solving equation systems developed by the authors(EQUATIONS program), several tests were conducted to evaluate the performance of high-order R-K algorithms. Copyright (C) 1998 IFAC.