(Federal University Dutsin MA Journal of Sciences (FJS), 2020-06) Muhammad R
In this paper, we examine in details how to obtain the order, error constant, consistency and convergence of a
Runge-Kutta Type method (RKTM) when the step number 𝑘 = 2. Analysis of the order, error constant,
consistency and convergence will help in determining an effective Runge- Kutta Method (RKM) to use. Due
to the loss of linearity in Runge –Kutta Methods and the fact that the general Runge –Kutta Method makes no
mention of the differential equation makes it impossible to define the order of the method independently of the
differential equation.
