In this study, the multistep method is applied to the STF system.
This method has been tested on the STF system, which is a three-dimensional
system of ODE with quadratic nonlinearities. A computer based Matlab program
has been developed in order to solve the STF system. Stable and unstable
position of the system has been analyzed graphically and finally a comparison
as well as accuracy between two-step sizes with detail. Newton’s method has
been applied to show the best convergence of this system.