Acceleration of Runge-Kutta integration schemes

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-Kut...

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Bibliographic Details
Main Authors: Phailaung Phohomsiri, Firdaus E. Udwadia
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/S1026022604311039