ANÁLISIS DE LOS MÉTODOS NUMÉRICOS EN ECUACIONES DIFERENCIALES ORDINARIAS UTILIZANDO MATHEMATICA

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