- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 5
- Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and rela...
Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
Authors : N. A. Ahmad, N. Senu, F. Ismail
Pages : 1312-1323
View : 10 | Download : 3
Publication Date : 2019-10-08
Article Type : Research
Abstract :In this paper, a trigonometrically-fitted two derivative Runge-Kutta method (TFTDRK) of high algebraic order for the numerical integration of first order Initial Value Problems (IVPs) which possesses oscillatory solutions is constructed. Using the trigonometrically-fitted property, a sixth order four stage Two Derivative Runge-Kutta (TDRK) method is designed. The numerical experiments are carried out with the comparison with other existing Runge-Kutta methods (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