WSEAS Transactions on Computers
Print ISSN: 1109-2750, E-ISSN: 2224-2872
Volume 14, 2017
Embedded 5(4) Pair Trigonometrically-Fitted Two Derivative Runge-Kutta Method with FSAL Property for Numerical Solution of Oscillatory Problems
Authors: , , ,
Abstract: Based on First Same As Last (FSAL) technique, an embedded trigonometrically-fitted Two Derivative Runge-Kutta method (TDRK) for the numerical solution of first order Initial Value Problems (IVPs) is developed. Using the trigonometrically-fitting technique, an embedded 5(4) pair explicit fifth-order TDRK method with a “small” principal local truncation error coefficient is derived. The numerical experiments are carried out and showed that our new method is more accurate and efficient when compared with other existing Runge-Kutta (RK) and TDRK methods of the same order.
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Keywords: Explicit methods, Embedded methods, First Same As Last technique, Initial Value Problems, TDRK methods, Variable step-size
Pages: 155-162
WSEAS Transactions on Computers, ISSN / E-ISSN: 1109-2750 / 2224-2872, Volume 14, 2017, Art. #17