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, RungeKutta 4 and LocallyExact) for the resolution of differential equations. To fulfill the purpose of this study, the system ofdifferential equations of the Lotka-Volterra model was use...
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| Format: | Article |
| Language: | English |
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Corporación Universitaria Republicana
2020-01-01
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| Series: | Revista Ingeniería, Matemáticas y Ciencias de la Información |
| Subjects: | |
| Online Access: | https://ojs.urepublicana.edu.co/index.php/ingenieria/article/view/622 |
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| Summary: | In this research, the main objective is to perform the comparative analysis of numerical methods (Explicit Euler, RungeKutta 4 and LocallyExact) for the resolution of differential equations. To fulfill the purpose of this study, the system ofdifferential equations of the Lotka-Volterra model was used and the mathematical software Wolfram Mathematica wasused. To perform the comparison of the numerical methods the Lotka-Volterra model was solved using the NdSolvecommand of Mathematica, this result was compared with the Methods Explicit Euler, Runge Kutta 4 and LocallyExact. Theresults obtained from the phase diagrams and the point table of the interactions indicate that the Runge Kutta 4 methodhas greater precision, followed by the LocallyExact method. The explicit Euler method draws considerably away from theresult of NDSolve. |
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| ISSN: | 2357-3716 |