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

Musa A. Demba (), Norazak Senu () and Fudziah Ismail ()
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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

A chapter in Recent Advances in Mathematical Sciences, 2016, pp 27-36 from Springer

Abstract: 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.

Keywords: Trigonometric fitting; RKN methods; Oscillatory solutions; Numerical integration; Initial value problems (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-0519-0_3

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DOI: 10.1007/978-981-10-0519-0_3

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