Trigonometrically fitted Runge-Kutta methods for the numerical solution of the oscillatory problems

الملخص EN

In this paper, two trigonometrically methods were established based on classical Runge-Kutta methods of the fourth and fifth-order respectively.

The new methods will be applied for the numerical integration of oscillatory problems and have high effectiveness as the results demonstrate.

Numerical results show the robustness and competence of the new methods compared to the well-known Runge-Kutta methods in the scientific literature.