Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs

Authors : N A AHMAD, N SENU, F ISMAİL

Pages : 1312-1323

View : 46 | Download : 8

Publication Date : 2019-10-08

Article Type : Research Paper

Abstract :In this paper, a trigonometrically-fitted two derivative Runge-Kutta method insert ignore into journalissuearticles values(TFTDRK); of high algebraic order for the numerical integration of first order Initial Value Problems insert ignore into journalissuearticles values(IVPs); which possesses oscillatory solutions is constructed. Using the trigonometrically-fitted property, a sixth order four stage Two Derivative Runge-Kutta insert ignore into journalissuearticles values(TDRK); method is designed. The numerical experiments are carried out with the comparison with other existing Runge-Kutta methods insert ignore into journalissuearticles values(RK); to show the accuracy and efficiency of the derived methods.
Keywords : two derivative Runge Kutta method, trigonometrically fitted, ordinary differential equations, initial value problems

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