| Issue |
MATEC Web of Conferences
Volume 41, 2016
1st Mini Conference on Emerging Engineering Applications (MCEEA’15)
|
|
|---|---|---|
| Article Number | 05002 | |
| Number of page(s) | 3 | |
| Section | Algorithms and Applications | |
| DOI | https://doi.org/10.1051/matecconf/20164105002 | |
| Published online | 01 February 2016 | |
Evolutionary construction of Runge–Kutta–Nyström pairs of orders 5(4)
1 TEI of Athens, Department of Electronics Engineering, Egaleo Campus, GR12210, Greece
2 TEI of Sterea Hellas, Department of Mechanical Engineering, Egaleo Campus, GR34400, Greece
a Corresponding author: tsitouras@mail.teiste.gr
Runge – Kutta – Nyström pairs of orders 5 and 4 are well suited for the solution of Initial value problem of second order. During the last decades were pushed aside by the pairs of orders 6 and 4 share the same number cost. Namely, 5 stages per step. Here we propose an alternative case of such pairs using only four stages per step. This was achieved by solving the corresponding equations of condition by the technique of Differential Evolution. Finally some numerical tests justify our effort.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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