Abstract
This study aimed to compare the performance of a particular integral calculation using the Trapezoid and Gauss-Legendre method in five integral cases to determine the accuracy of the integral results value of both methods which are based on the relative error percentage. This study is a literature research which formulate mathematical problem that can be solved with the usual arithmetic operations or calculations which are addition, subtraction, multiplication and division to obtain numeral with the best accuracy. Trapezoidal method formula used is while the Gauss-Legendre formula used is , This study shows that the Gauss-Legendre method has better performance by giving the percentage of error which is relatively better than Trapezoid method used in the five cases. Keywords: Numerical Methods, Trapezoid method, the method of Gauss-Legendre
Highlights
Pendahuluan Era globalisasi saat ini, ilmu pengetahuan dan teknologi berkembang sangat pesat, begitu juga dengan perkembangan matematika
This study shows that the Gauss-Legendre method has better performance by giving the percentage of error is relatively better than Trapezoid method used in five cases
Dengan Bahasa PemrogramanAnalisis Perbandingan Metode Romberg, Metode Gauss-Legendre, Metode Simulasi Monte Carlo, dalam perhitungan Integral Tertentu
Summary
Adi Prasetia Program Studi Pendidikan Matematika , Fakultas Keguruan dan Ilmu Pendidikan (FKIP) Universitas. Abstrak Penelitian ini bertujuan untuk membandingkan performansi perhitungan integral tertentu menggunakan metode Trapesium dan metode Gauss-legendre dalam lima kasus integral untuk mengetahui ketelitian nilai hasil integral dari kedua metode tersebut berdasarkan presentase error relatifnya. Penelitian ini merupakan penelitian literatur yang memformulasikan persoalan matematika sehingga dapat dipecahkan dengan operasi perhitungan atau aritmatik biasa yaitu tambah, kurang, kali dan bagi untuk memperoleh bilangan yang dengan keakuratan terbaik. Formula metode trapesium yang digunakan adalah b a f (x)dx. 1 b a Penelitian ini menunjukkan bahwa metode Gauss-Legendre mempunyai performansi lebih baik dengan memberikan presentase error relatif lebih baik daripada metode Trapesium dalam lima kasus yang digunakan
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