ANÁLISIS DE LOS MÉTODOS NUMÉRICOS EN ECUACIONES DIFERENCIALES ORDINARIAS UTILIZANDO MATHEMATICA

Abstract

In this research, the main objective is to perform the comparative analysis of numerical methods (Explicit Euler, Runge Kutta 4 and LocallyExact) for the resolution of differential equations. To fulfill the purpose of this study, the system of differential equations of the Lotka-Volterra model was used and the mathematical software Wolfram Mathematica was used. To perform the comparison of the numerical methods the Lotka-Volterra model was solved using the NdSolve command of Mathematica, this result was compared with the Methods Explicit Euler, Runge Kutta 4 and LocallyExact. The results obtained from the phase diagrams and the point table of the interactions indicate that the Runge Kutta 4 method has greater precision, followed by the LocallyExact method. The explicit Euler method draws considerably away from the result of NDSolve. DOI: http://dx.doi.org/10.21017/rimci.2020.v7.n13.a72