Add to ORKGIn this work, we derive two new Runge-Kutta-Nyström (RKN) methods for solving periodic second order ordinary differential equations. We constructed these methods based on the RKN method of three-stage fourth-order derived by Garcia and RKN method of four-stage fifth-order derived by Hairer. The numerical results show that the efficiency of the new methods is more than the other existing methods
We consider the construction of Runge-Kutta(-Nystrom) methods for ordinary differential equations wh...
In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-...
We consider the construction of Runge-Kutta(-Nystrom) methods for ordinary differential equations wh...
This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method ...
A new Runge-Kutta-Nyström (RKN) method with phase-lag of order infinity for solving second order per...
In this study, a trigonometrically-fitted explicit Runge-Kutta-Nystrom (RKN) methods are proposed fo...
In this study, a trigonometrically-fitted explicit Runge-Kutta-Nystrom (RKN) methods are proposed fo...
In this paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyst...
A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving firs...
In this paper, a new three-stage Runge-Kutta-Nyström (RKN) method with two variable coefficients is ...
AbstractIn the present work, we are concerned with the derivation of continuous Runge-Kutta-Nyström ...
In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The ...
In this paper, order conditions for Runge-Kutta-Nyström (RKN) method for solving second order linear...
AbstractA new approach for constructing efficient Runge-Kutta-Nyström methods is introduced in this ...
We consider the construction of Runge-Kutta(-Nystrom) methods for ordinary differential equations wh...
We consider the construction of Runge-Kutta(-Nystrom) methods for ordinary differential equations wh...
In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-...
We consider the construction of Runge-Kutta(-Nystrom) methods for ordinary differential equations wh...
This study has constructed an explicit Trigonometrically-Fitted Modified Runge-Kutta (TFMRK) method ...
A new Runge-Kutta-Nyström (RKN) method with phase-lag of order infinity for solving second order per...
In this study, a trigonometrically-fitted explicit Runge-Kutta-Nystrom (RKN) methods are proposed fo...
In this study, a trigonometrically-fitted explicit Runge-Kutta-Nystrom (RKN) methods are proposed fo...
In this paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyst...
A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving firs...
In this paper, a new three-stage Runge-Kutta-Nyström (RKN) method with two variable coefficients is ...
AbstractIn the present work, we are concerned with the derivation of continuous Runge-Kutta-Nyström ...
In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The ...
In this paper, order conditions for Runge-Kutta-Nyström (RKN) method for solving second order linear...
AbstractA new approach for constructing efficient Runge-Kutta-Nyström methods is introduced in this ...
We consider the construction of Runge-Kutta(-Nystrom) methods for ordinary differential equations wh...
We consider the construction of Runge-Kutta(-Nystrom) methods for ordinary differential equations wh...
In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-...
We consider the construction of Runge-Kutta(-Nystrom) methods for ordinary differential equations wh...