Kasim Hussain, Fudziah Ismail, Norazak Senu, "Solving Oscillatory Problems Using an Optimized Runge–Kutta Method," WSEAS Transactions on Systems, vol. 17, pp. 112-118, 2018, DOI:
Kasim Hussain, Fudziah Ismail, Norazak Senu. Solving Oscillatory Problems Using an Optimized Runge–Kutta Method.
WSEAS Transactions on Systems. 2018;17:112-118.
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 17, 2018
Solving Oscillatory Problems Using an Optimized Runge–Kutta Method
Authors: , ,
Abstract: New explicit Runge–Kutta method with zero phase-lag, zero first derivative of the phase-lag and zero amplification error is derived for the effective numerical integration of second-order initial-value problems with oscillatory solutions in this paper. The new method is based on the sixth-stage fifth-order Runge–Kutta method. Numerical illustrations show that the new proposed method is much efficient as compared with other Runge–Kutta methods in the scientific literature, for the numerical integration of oscillatory problems.
Pages: 112-118 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #12 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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