A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared with the existing method; which show that the new method is more efficient
A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving s...
In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordin...
AbstractA Runge-Kutta method is developed for the numerical solution of initial-value problems with ...
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 work, we derive two new Runge-Kutta-Nyström (RKN) methods for solving periodic second order ...
In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The ...
AbstractA new approach for constructing efficient Runge-Kutta-Nyström methods is introduced in this ...
A modified phase-fitted Runge–Kutta method (i.e., a method with phase-lag of order infin-ity) for th...
In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve fi...
In this study, we construct a new Phase-fitted and Amplication-fitted Diagonally Implicit Runge-Kutt...
A phase-fitted and amplification-fitted two-derivative Runge-Kutta (PFAFTDRK) method of high algebra...
AbstractBlock Runge-Kutta methods with minimal phase-lag for first order periodic initialvalue probl...
New phase-fitted and amplification-fitted Runge-Kutta methods (RK) based on the existing Runge-Kutta...
In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivat...
A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving s...
In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordin...
AbstractA Runge-Kutta method is developed for the numerical solution of initial-value problems with ...
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 work, we derive two new Runge-Kutta-Nyström (RKN) methods for solving periodic second order ...
In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The ...
AbstractA new approach for constructing efficient Runge-Kutta-Nyström methods is introduced in this ...
A modified phase-fitted Runge–Kutta method (i.e., a method with phase-lag of order infin-ity) for th...
In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve fi...
In this study, we construct a new Phase-fitted and Amplication-fitted Diagonally Implicit Runge-Kutt...
A phase-fitted and amplification-fitted two-derivative Runge-Kutta (PFAFTDRK) method of high algebra...
AbstractBlock Runge-Kutta methods with minimal phase-lag for first order periodic initialvalue probl...
New phase-fitted and amplification-fitted Runge-Kutta methods (RK) based on the existing Runge-Kutta...
In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivat...
A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving s...
In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordin...
AbstractA Runge-Kutta method is developed for the numerical solution of initial-value problems with ...