Modifying Runge – Kutta methods with higher order derivative approximations

Abstract

In this paper, we modify some sort of Runge-Kutta methods developed by David and Olin which needless function evaluation than ordinary corresponding Runge-Kutta methods. We improve the stability region of these methods by adding a suitable term for the formulas of the methods. We have shown these improvements theoretically and practically.

Keywords

• runge – kutta methods
• higher order derivative
• stability region