New Third Order Explicit Runde-Kutta Method with Equal Nodes

Abstract

In the light of (4) and (5), a new third order explicit Runge – Kutta Method with equal nodes and it's computer implementation were highlighted. The method compared efficiently with the existing third order explicit Runge – Kutta methods proposed by Kutta, Ralston, Heun and Nystrom respectively.
Key Word: Explicit Runge – Kutta methods, Stepsize, order conditions, and parameters.


(Global Journal of Mathematical Sciences: 2002 1 (1&2): 1-12)