Document Type
Article
Publication Date
1996
DOI
10.1016/0898-1221(96)00141-1
Publication Title
Computers & Mathematics with Applications
Volume
6
Issue
6
Pages
15-28
Abstract
A pair of explicit Runge-Kutta formulas of orders 4 and 5 is derived. It is significantly more efficient than the Fehlberg and Dormand-Prince pairs, and by standard measures it is of at least as high quality. There are two independent estimates of the local error. The local error of the interpolant is, to leading order, a problem-independent function of the local error at the end of the step.
Original Publication Citation
Bogacki, P., & Shampine, L. F. (1996). An efficient Runge-Kutta (4,5) pair. Computers & Mathematics with Applications, 32(6), 15-28. doi:10.1016/0898-1221(96)00141-1
Repository Citation
Bogacki, P. and Shampine, L. F., "An Efficient Runge-Kutta (4,5) pair" (1996). Mathematics & Statistics Faculty Publications. 136.
https://digitalcommons.odu.edu/mathstat_fac_pubs/136
Comments
Elsevier open archive. Copyright © 1996 Published by Elsevier Ltd. All rights reserved.