PENDEKATAN METODE MONTE CARLO DALAM MENENTUKAN NILAI INTEGRAL

SADEWO, YUSUF (2018) PENDEKATAN METODE MONTE CARLO DALAM MENENTUKAN NILAI INTEGRAL. Undergraduate thesis, UNIMED.

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Abstract

Pendekatan dengan metode Monte Carlo menggunakan prinsip pembangkitan bilangan random untuk menguji sebuah fungsi. Penggunaan bilangan random sangat erat hubungannya dengan nilai error yang diperoleh. Penelitian ini bertujuan untuk meminimalisasi nilai error pada integrasi dengan menggunakan metode Monte Carlo. Integrasi awal metode Monte Carlo dengan 10.000 titik random memiliki rata-rata nilai error yang cukup besar yaitu 2,7500257326%, sehingga dilakukan tindak lanjut dengan menggunakan pias pada integrasi Monte Carlo. Integrasi Monte Carlo dengan 1.000 pias dengan titik random yang sama memiliki rata-rata nilai error yang cukup kecil yaitu 0,0033032046%, kemudian diikuti ratarata nilai error integrasi Romberg sebesar 0,9507408995% dan integrasi GaussLegendre sebesar 1,952429844×10−7%. Dari hasil penelitian dan perhitungan diperoleh bahwa penggunaan pias memiliki pengaruh yang cukup signifikan dalam meminimalisasi nilai error pada hasil integrasi dengan menggunakan metode Monte Carlo.

Item Type: Thesis (Undergraduate)
Contributors:
ContributionNameNIDN/NIDK
Thesis advisorIskandar, Said197703182005011001
Call Number: SK-2019 MAT 051
Keywords: Integral;Error;Monte Carlo
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA101 Elementary mathematics. Arithmetic
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Mrs Elsya Fitri Utami
Date Deposited: 08 Apr 2019 14:49
URI: http://digilib.unimed.ac.id/id/eprint/34131

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