A trigonometrically adapted embedded pair of explicit Runge-Kutta-Nyström methods to solve periodic systems

  1. Demba, Musa Ahmed 356
  2. Ramos, Higinio 4
  3. Watthayu, Wiboonsak 3
  4. Senu, Norazak 2
  5. Fawzi, Firas Adel 1
  1. 1 Faculty of Computer Science and Mathematics, University of Tikrit
  2. 2 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia,
  3. 3 Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi
  4. 4 Department of Applied Mathematics, Faculty of Sciences, University of Salamanca,
  5. 5 Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkuts University of Technology Thonburi (KMUTT)
  6. 6 Department of Mathematics, Faculty of Computing and Mathematical Sciences, Kano University of Science and Technology
Mostrar afiliaciones +
Revista:
Bangmod International Journal of Mathematical & Computational Science

ISSN: 2408-154X

Año de publicación: 2021

Volumen: 7

Número: 1-2

Páginas: 14-34

Tipo: Artículo

DOI: 10.2139/SSRN.3924308 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Bangmod International Journal of Mathematical & Computational Science

Resumen

In this paper a 5(3) pair of explicit trigonometrically adapted Runge-Kutta-Nyström methodswith four stages is derived based on an explicit pair appeared in the literature. The new adapted methodis able to integrate exactly the usual test equation: y′′ = −w2y. The local truncation error of the new method is obtained, proving that the algebraic order of convergence is maintained. The stability intervalof the new method is obtained, showing that the proposed method is absolutely stable. The numericalexperiments performed demonstrate the robustness of the new embedded pair in comparison with some standard codes available in the literature.