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: firstname.lastname@example.org
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
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