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Implementation of Numerical Methods of Euler and Runge-Kutta through MATLAB Software for the Solution of Ordinary Differential Equations Dedicated to Teaching

机译:通过MATLAB软件实现欧拉和龙格-库塔数值方法的求解常微分方程的教学。

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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.......
机译:鉴于工程领域问题的复杂性,新工具已成为解决学术界必不可少的工具,因此通过软件进行计算机建模和仿真已成为该领域研究人员满足这些需求的主要选择之一。因此,这项工作的目的是实现两种数值方法,即Euler和Runge-Kutta,其目的是求解常微分方程,并具有微分计算模型,这使得有可能解决以下问题:这将是不可能的,或者将需要大量的时间和精力进行相关的研究,从而使过程更简单,并且降低了操作错误的可能性。这项研究的科学方法论基于使用MATLAB软件的应用研究,该研究寻求获得定性结果,因为它使用了重要的学习理论,因此认为......。

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