A new Runge Kutta RK(4, 4) method

Abstract

In this paper, we present a new adaptive error control Runge Kutta method of RK(4, 4) form. Numerical experiments show the new method to be comparable with the well known RK(4, 5) method.

Keywords:

• Runge Kutta(4, 4)
• adaptive error control
• initial step size
• Runge Kutta Contraharmonic mean method

C.R. Categories:

• G.1.7.