Abstract: This is achieved by using the SIR model to solve the system, two numerical methods are used, namely 4th order Runge-Kutta. In this paper, we study the performance and comparison of both methods in solving the model. The result in this paper that in the running process of solving it turns out that using the euler method is faster than using the 4th order Runge-Kutta method and the differences of solutions between the two methods are large.
Keywords: Fourth order Runge Kutta Method, Derivation, Stability Analysis