Muhammad R2025-04-132020-062616-13702645 - 2944http://repository.futminna.edu.ng:4000/handle/123456789/597FUDMA Journal of Sciences (FJS) https://d oi.org/10.33003/fjs-2020-0402-256In 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.enConvergenceinitial value problemsstep numberdifferential equationArticle