A Measurement Application to Surfaces using Non-Linear Interpolation and Numerical Integration Methods

## A Measurement Application to Surfaces using Non-Linear Interpolation and Numerical Integration Methods

Volume-70 Issue-6
Year of Publication : 2022
Authors : Robert William Baruck Mallma Maraví, Oscar Alberto Montoya Juro, Anaís Marisol Huanca Blancos, Haydee Leslie Figueroa Melgarejo
DOI : 10.14445/22315381/IJETT-V70I6P225

How to Cite?

Robert William Baruck Mallma Maraví, Oscar Alberto Montoya Juro, Anaís Marisol Huanca Blancos, Haydee Leslie Figueroa Melgarejo, "A Measurement Application to Surfaces using Non-Linear Interpolation and Numerical Integration Methods," International Journal of Engineering Trends and Technology, vol. 70, no. 6, pp. 237-251, 2022. Crossref, https://doi.org/10.14445/22315381/IJETT-V70I6P225

Abstract
In this article, the area of a two-dimensional surface of the exteriors of the Universidad Nacional Mayor de San Marcos was calculated. It was done using the curve equation integration method, which will be obtained from the perimeter of the sector to be worked on by dividing it into sections, for which Google Maps was used to calculate the reference parameters. In general, not all curve equations are integrable; for this, the approximation methods such as Simpson 3/8, 1/3, and trapezoid were used. In addition, we will apply the Lagrange interpolation to find the equation of the curve; with the results obtained, we make a comparison between the methods, and So we see that the methods differ. Of them, the one with the least margin of error will be taken; these methods can be used in future works where the surface is irregular.

Keywords
Numerical integration, Lagrange interpolation, Simpson's method, Trapezoid.

Reference
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