Implementation of Numerical Methods of Euler and Runge-Kutta through MATLAB Software for the Solution of Ordinary Differential Equations Dedicated to Teaching
Journal Title: International Journal of engineering Research and Applications - Year 2018, Vol 8, Issue 5
Abstract
Given the complexity of problems in the engineering field, new tools have become essential for solving them in academic society, so computer modeling and simulation through software has been one of the main alternatives found by researchers in the area to attend to these demands. Therefore, the objective of this work is to implement two numerical methods, namely Euler and Runge-Kutta, in which the purpose is the solution of Ordinary Differential Equations, having as a differential the computational modeling, which makes possible the solution of the problems that would be impossible or would require much time and energy of the involved researches, thus making the process simpler, besides reducing the probability of operational error. The scientific methodology of this study is based on applied research using MATLAB software, which seeks to obtain qualitative results, being that it uses the Significant Learning Theory, which argues that the new knowledge must be anchored to the knowledge acquired in the students, thus demonstrating a way or a direction to learn the methods to their practical applications, correlating with the problems faced in everyday life. In this way, the following study culminates in important results for the scientific society, being these the correlation existing between the methods, where it illustrates its particularities and precisions, besides connecting this knowledge with the teaching practice of the same ones.
Authors and Affiliations
Cláudio Faria Lopes Junior, Gabriel Soares Da Silva, Patrícia Sousa Nilo Mendes, Priscila Sousa Nilo Mendes, Vanessa Aparecida De Sá Machado, Bruno Nunes Myrrha Ribeiro
Keywords
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- EP ID EP394190
- DOI 10.9790/9622-0805022429.
- Views 156
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