Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 2004 / Article

Open Access

Volume 2004 |Article ID 430475 | https://doi.org/10.1155/S1026022604311039

Phailaung Phohomsiri, Firdaus E. Udwadia, "Acceleration of Runge-Kutta integration schemes", Discrete Dynamics in Nature and Society, vol. 2004, Article ID 430475, 8 pages, 2004. https://doi.org/10.1155/S1026022604311039

Acceleration of Runge-Kutta integration schemes

Received24 Nov 2003

Abstract

A simple accelerated third-order Runge-Kutta-type, fixed time step, integration scheme that uses just two function evaluations per step is developed. Because of the lower number of function evaluations, the scheme proposed herein has a lower computational cost than the standard third-order Runge-Kutta scheme while maintaining the same order of local accuracy. Numerical examples illustrating the computational efficiency and accuracy are presented and the actual speedup when the accelerated algorithm is implemented is also provided.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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