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

In this research, the main objective is to study the Runge -Kutta and Adams Bashforth- Moulton numerical methods. Tofulfill the purpose of this study, the Systems of differential equations of the Lotka-Volterra model was used and themathematical software Wolfram Mathematica was used. In the results,...

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Bibliographic Details
Main Author: Jaime Segarra
Format: Article
Language:English
Published: Corporación Universitaria Republicana 2020-07-01
Series:Revista Ingeniería, Matemáticas y Ciencias de la Información
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Online Access:https://ojs.urepublicana.edu.co/index.php/ingenieria/article/view/639
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Summary:In this research, the main objective is to study the Runge -Kutta and Adams Bashforth- Moulton numerical methods. Tofulfill the purpose of this study, the Systems of differential equations of the Lotka-Volterra model was used and themathematical software Wolfram Mathematica was used. In the results, the RK4, AB4 and AM4 methods are comparedwith the NDSolve command using the Lotka-Volterra model. The results obtained in the phase diagrams and the table ofpoints of the iteration indicated that the RK4 method has higher precision than the AB4 and AM4 methods.
ISSN:2357-3716