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All Journal Sinkron : Jurnal dan Penelitian Teknik Informatika Mathematics and Applications (MAp) Journal
Elvaningsih, Herris
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Computer Science & IT Mathematics

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METODE THREE-STEP ITERATION MENGGUNAKAN KONVERGENSI BERORDE ENAM UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR Elvaningsih, Herris
MAp (Mathematics and Applications) Journal Vol 3, No 2 (2021)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (412.11 KB) | DOI: 10.15548/map.v3i2.3339

Abstract

Berbagai permasalahan yang terjadi dalam menyelesaikan persamaan nonlinear yang biasanya diselesaikan menggunakan metode iterasi dalam pengaplikasian matematika dalam ruang lingkup pendidikan. Terdapat dua solusi dalam penyelesaian persamaan nonlinear yaitu secara analitik dan numerik. Namun terkadang metode analitik mengalami kesulitan dalam menentukan akar persamaan nonlinear sehingga dibutuhkan solusi dengan menggunakan metode numerik. Salah satunya yaitu modifikasi iterasi pada persamaan nonlinear yang bertujuan untuk mendapatkan orde konvergensi yang lebih tinggi. Penelitian ini menggunakan metode Three-step Iteration atau Iterasi Tiga Langkah yang menggabungkan tiga jenis metode diantaranya Metode Newton, Metode VMN, dan Metode Hasanov. Hasil dari penelitian ini dengan menggunakan simulasi numerik dari lima persamaan nonlinear yaitu Metode Iterasi Tiga Langkah lebih cepat dalam menemukan akar persamaan nonlinear dengan hasil 4 iterasi pada persamaan 1, 3 iterasi pada persamaan 2, 4 iterasi pada persamaan 3, 2 iterasi pada persamaan 4, dan 4 iterasi pada persamaan 5.Kata Kunci: Iterasi Tiga Langkah, Metode Newton, Metode VMN, Metode Hasanov
inggris Elisawati, Elisawati; Linarta, Arie; Putra, Al Malikul Ikhwanda; Elvaningsih, Herris
Sinkron : jurnal dan penelitian teknik informatika Vol. 6 No. 2 (2022): Articles Research Volume 6 Issue 2, April 2022
Publisher : Politeknik Ganesha Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33395/sinkron.v7i2.11269

Abstract

Health is one of the needs of the society to be able to carry out activities in daily life. The high public need for health makes the provision of drug stocks being an important aspect for every health service, one of which is the Public Health. To find out how many drugs are received, the Public Health conducts a data collection on the drug stock that is carried out. However, the Public Health could not determine the exact amount of drug stock needed so that some drugs expired due to excess drug stock. With these problems, an analysis using the Backpropagation method was carried out to predict how much drug stock was needed. The purpose of this study is to ensure that the stock of drugs that enter the Public Health is in accordance with the needs of the Public Health so that it can reduce the expired of the drugs. For analysis using the Backpropagation Method, there are two processes used, namely: with the training process to find new weights which will later be used in the second process, namely the testing process. testing is only carried out on the forward propagation process. To carry out the training process and testing process, data from 2019-2020 that has been recapitulated will be used. The results of the analysis using the Backpropagation method show that the highest accuracy results are 88.0356% at epoch 900, learning rate is 0.001, and goal is 0.00001 with the lowest MAPE (Mean Absolute Percentage Error) is 11.964% which shows that the ability of forecasting or analysis models good because how much in the range of 10-20%
Co-Authors Elisawati, Elisawati Linarta, Arie Putra, Al Malikul Ikhwanda