A Phase-Fitted and Amplification-Fitted Explicit Runge–Kutta–Nyström Pair for Oscillating Systems

  1. Demba, Musa Ahmed
  2. Ramos, Higinio
  3. Kumam, Poom
  4. Watthayu, Wiboonsak
Revista:
Mathematical and Computational Applications

ISSN: 2297-8747

Año de publicación: 2021

Volumen: 26

Número: 3

Páginas: 59

Tipo: Artículo

DOI: 10.3390/MCA26030059 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Mathematical and Computational Applications

Objetivos de desarrollo sostenible

Resumen

An optimized embedded 5(3) pair of explicit Runge–Kutta–Nyström methods with fourstages using phase-fitted and amplification-fitted techniques is developed in this paper. The newadapted pair can exactly integrate (except round-off errors) the common test: y00 = −w2y. Thelocal truncation error of the new method is derived, and we show that the order of convergence ismaintained. The stability analysis is addressed, and we demonstrate that the developed method isabsolutely stable, and thus appropriate for solving stiff problems. The numerical experiments showa better performance of the new embedded pair in comparison with other existing RKN pairs ofsimilar characteristics

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