Penerapan Metode Trapesium , Metode Simpson 1/3, dan Metode Simpson 3/8 Dalam Integrasi Numerik Menggunakan Software Matlab

Bes Hendi Rio Pardede; Bunga Diviya Kusfa; Lauren Teresia Tamba

doi:10.62383/pentagon.v2i4.268

Authors

Bes Hendi Rio Pardede Universitas Negeri Medan
Bunga Diviya Kusfa Universitas Negeri Medan
Lauren Teresia Tamba Universitas Negeri Medan

DOI:

https://doi.org/10.62383/pentagon.v2i4.268

Keywords:

Numerical integration, Simpson 1/3 method, Simpson 3/8 method, Trapezoidal method, Software computing

Abstract

Numerical integration is a method used to calculate the integral of functions that cannot be integrated analytically. Several methods that are often used in numerical integration include that Simpson 1/3 method, Simpson 3/8 method, and the Trapezoidal method. This research aims to apply and compare the accuracy and efficiency of the third method in solving various types of integral functions using computing software. With the help of software such as MATLAB and Python, the precision of the results obtained from each method is analyzed and compared with analytical solutions (if available) or approximate integral value estimates. The results show that the Simpson 3/8 method tends to be more accurate for more complex functions than the Simpson 1/3 and Trapezoid method. However, the Trapezoidal method has advantages in computational speed and algorithm simplicity. This study provides important insights for computing software users in selecting appropriate numerical integration methods based on function complexity and accuracy requirements.

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