MÉTODOS NUMÉRICOS RUNGE-KUTTA Y ADAMS BASHFORTH-MOULTON EN MATHEMATICA

Abstract

In this  research, the  main  objective  is to study the  Runge-Kutta and  Adams Bashforth- Moulton numerical methods. To fulfill the purpose  of this  study, the Systems of differential equations of the  Lotka-Volterra model  was  used  and  the  mathematical software Wolfram Mathematica was used.  In the results, the RK4, AB4 and AM4 methods are compared with the NDSolve command using the Lotka-Volterra model. The results obtained in the phase diagrams and the table of points of the iteration indicated that the RK4 method has higher precision than the AB4 and AM4 methods.