High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems

KC Lee, N Senu, A Ahmadian, SNI Ibrahim - Mathematical Sciences, 2022 - Springer
Three stage sixth-order exponentially fitted and trigonometrically fitted explicit two-derivative
Runge–Kutta-type methods are proposed for solving u′′′(t)= f (t, u (t), u′(t)). The idea of …

Solving Oscillatory Problems Using Trigonometrically-Fitting Improved Runge-Kutta Nystrom Method

KA Hussain, WJ Hasan - Mathematical Statistician and Engineering …, 2022 - philstat.org
In this article, we suggest a new technique for solving oscillatory ordinary differential
equations called Trigonometrically Fitted Improved Runge-Kutta Nystrom (TFIRKN4) …

[PDF][PDF] Solving Oscillating Problems Using Modifying Runge-Kutta Methods

ZK Ghazal, KA Hussain - Ibn AL-Haitham Journal For Pure and Applied …, 2021 - iasj.net
This paper develop conventional Runge-Kutta methods of order four and order five to solve
ordinary differential equations with oscillating solutions. The new modified Runge-Kutta …

[PDF][PDF] Fifth Order Improved Runge-Kutta Nystrom Method Using Trigonometrically-Fitting for Solving Oscillatory Problems

WJ Hasan, KA Hussain - Al-Nahrain Journal of Science, 2022 - iasj.net
In this paper, the Trigonometrically Fitted Improved Runge-Kutta Nystrom method is
proposed as a novel method with four stages and fifth order for solving oscillatory problems …

Trigonometrically Fitted Runge-Kutta Methods for the Numerical Solution of the Oscillatory Problems

ZK Ghazal, KA Hussain - Journal of Al-Qadisiyah for computer …, 2021 - jqcsm.qu.edu.iq
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 …