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Título
A Trigonometrically Adapted Embedded Pair of Explicit Runge-Kutta-Nyström Methods to Solve Periodic Systems.
Autor(es)
Materia
Trigonometrically-fitted method
Runge-Kutta-Nyström
Periodic Initial Value Problems
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2021
Editor
Elsevier
Citación
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
Resumen
[EN]In this paper a 5(3) pair of explicit trigonometrically adapted Runge-Kutta-Nyström 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 2 y. 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.
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