2026-08-25T21:29:52Zhttps://gredos.usal.es/oai/request

oai:gredos.usal.es:10366/1563672026-01-13T12:19:41Zcom_10366_4137com_10366_4055com_10366_3946com_10366_3823col_10366_4138

Demba, Musa Ahmed Ramos Calle, Higinio Watthayu, Wiboonsak Senu, Norazak Fawzi, Firas Adel 2024-03-07T08:53:27Z 2024-03-07T08:53:27Z 2021 Demba, Musa Ahmed and Ramos, Higinio and Kumam, Poom and Watthayu, Wiboonsak and Senu, Norazak and Fawzi, Firas Adel, A Trigonometrically Adapted Embedded Pair of Explicit Runge-Kutta-Nyström Methods to Solve Periodic Systems. Available at SSRN: https://ssrn.com/abstract=3924308 or http://dx.doi.org/10.2139/ssrn.3924308 2408-154X http://hdl.handle.net/10366/156367 10.2139/ssrn.3924308 [EN]In this paper a 5(3) pair of explicit trigonometrically adapted Runge-Kutta-Nystr om methods with four stages is derived based on an explicit pair appeared in the literature. The new adapted method is able to integrate exactly the usual test equation: y′′ = -w^2y. The local truncation error of the new method is obtained, proving that the algebraic order of convergence is maintained. The stability interval of the new method is obtained, showing that the proposed method is absolutely stable. The numerical experiments performed demonstrate the robustness of the new embedded pair in comparison with some standard codes available in the literature. eng Center of Excellence in Theoretical & Computational Science (TaCS-CoE), Thailand Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Trigonometrically-fi tted method Runge-Kutta-Nyström Periodic Problems Initial Value Problems 12 Matemáticas A trigonometrically adapted embedded pair of explicit Runge-Kutta-Nyström methods to solve periodic systems. info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://dx.doi.org/10.2139/ssrn.3924308 Bangmod International Journal of Mathematical and Computational Science 7 1,21 14 34