Evolutionary Derivation of Runge–Kutta Pairs of Orders 5(4) Specially Tuned for Problems with Periodic Solutions

The purpose of the present work is to construct a new Runge–Kutta pair of orders five and four to outperform the state-of-the-art in these kind of methods when addressing problems with periodic solutions. We consider the family of such pairs that the celebrated Dormand–Prince pair also belongs. The...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Vladislav N. Kovalnogov, Ruslan V. Fedorov, Andrey V. Chukalin, Theodore E. Simos, Charalampos Tsitouras
Format:	Article
Language:	English
Published:	MDPI AG 2021-09-01
Subjects:	initial value problem oscillatory problems Runge–Kutta differential evolution
Online Access:	https://www.mdpi.com/2227-7390/9/18/2306