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Fifth-Order Four-Stage Explicit Trigonometrically-Fitted Runge–Kutta–Nyström Methods

In: Recent Advances in Mathematical Sciences

Author

Listed:
  • Musa A. Demba

    (Institute for Mathematical Research, Universiti Putra Malaysia (UPM), Department of Mathematics)

  • Norazak Senu

    (Institute for Mathematical Research, Universiti Putra Malaysia (UPM), Department of Mathematics)

  • Fudziah Ismail

    (Institute for Mathematical Research, Universiti Putra Malaysia (UPM), Department of Mathematics)

Abstract

In this study, we derive fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström (ETFRKN) methods for the numerical integration of second-order initial value problems with oscillatory solutions based on Simos technique. The numerical results show the efficiency of the proposed methods in comparison with other Runge–Kutta–Nyström (RKN) Methods.

Suggested Citation

  • Musa A. Demba & Norazak Senu & Fudziah Ismail, 2016. "Fifth-Order Four-Stage Explicit Trigonometrically-Fitted Runge–Kutta–Nyström Methods," Springer Books, in: Adem Kılıçman & Hari M. Srivastava & M. Mursaleen & Zanariah Abdul Majid (ed.), Recent Advances in Mathematical Sciences, pages 27-36, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-0519-0_3
    DOI: 10.1007/978-981-10-0519-0_3
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