INTEGRASI NUMERIK DENGAN METODE KUADRATUR GAUSS-LEGENDRE MENGGUNAKAN PENDEKATAN INTERPOLASI HERMITE DAN POLINOMIAL LEGENDRE

Authors

  • Aulia Radesa
  • Narwen .
  • Bukti Ginting

DOI:

https://doi.org/10.25077/jmu.5.1.148-153.2016

Abstract

Abstrak. Integrasi Numerik merupakan metode aproksimasi untuk memperoleh nilai
integral suatu fungsi secara numerik. Metode ini digunakan pada fungsi-fungsi yang
diintegralkan secara analitik agak sulit. Salah satu metode aproksimasi integral menggunakan
Metode Kuadratur Gauss-Legendre, karena metode ini memiliki error yang kecil
dan perumusan yang sederhana. Untuk mendapatkan perumusan tersebut diperlukan
fungsi pembobot dengan pendekatan Interpolasi Hermite. Interpolasi Hermite membentuk
polinomial yang berderajat 2n1 dan titik yang digunakan sebanyak n titik, dimana
setiap titik-titik tersebut merupakan pembuat nol pada polinomial Legendre (p
(x) = 0)
dan terletak pada interval [1; 1].

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Published

29-02-2016

Issue

Vol. 5 No. 1 (2016)

Section

Articles

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