Runge‐Kutta pairs sharing orders 5 and 4 are among the most celebrated methods for
solving initial value problems. Here, after considering the phase lag as a function of …

This paper presents an alternative method for developing effective embedded optimized
Runge-Kutta (RK) algorithms to solve oscillatory problems numerically. The embedded …

A new efficient Two Derivative Runge-Kutta method (TDRK) of order five is developed for the
numerical solution of the special first order ordinary differential equations (ODEs). The new …

A new trigonometrically fitted two-derivative explicit Runge-Kutta (TFTDRK) method of order
five with FSAL property for solving system of first-order ordinary differential equations …

In this research, we presented two classical numerical techniques to solve some oscillatory
problems arised in various applications of sciences and engineering. Adomian …