Ajuste de curvas usando métodos numéricos
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Data
2018-06-28
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Universidade Federal de Goiás
Resumo
Given the need to discuss mathematical methods capable of adjusting curves that represent
experimental data. This work presents seven methods of curves adjustment, three of these,
methods that use least squares regression techniques and the other four, using interpolation
techniques. Initially, it brings some definitions that present to the reader all the mathematical
foundation that rules the equations. In parallel, it seeks to discuss, through examples, the
area of attribution of the described methods, realizing whenever possible a comparation
between the several techniques presented and their errors in the estimates.
In order to demonstrate that the techniques discussed here are feasible for use in basic
education, it exposes an experience of applying one of these methods in solving a basic
problem of the discipline of Physics. After presenting the step-by-step method of obtaining
soil resistivity, a variable that is of the utmost importance for the elaboration of projects for
grounding meshes that supply energy substations, We finish this work by solving the problem
with the aid of adjustment techniques curves studied, proposing the inclusion of the methods
addressed in one of the steps of the procedure to obtain soil resistivity.
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Citação
SOUSA NETO, Theófilo Machado de. Ajuste de curvas usando métodos numéricos. 2018. 134 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2018.