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Politeknik Negeri Padang
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Journal : M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika

 1 
Comparison Of Euler Method And Runge Kutta Method In Estimation Of The Number Of Population In Aceh Province: Perbandingan Metode Euler Dan Metode Runge Kutta Dalam Estimasi Jumlah Penduduk Di Provinsi Aceh Tarisma, Tantri; Saumi, Fazrina; Wardani, Suci; Zahara, Zahara; Kristina, Desi
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2022): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v7i2.279

Abstract

Residents are people who are in an area and are controlled by applicable rules and interact with each other Residents are people who are in an area and are bound by applicable rules and interact with each other continuously or continuously. If population growth increases, this will cause many problems, including: poverty levels, unemployment, school dropout rates and increasing crime rates in each region. In anticipating the problem of increasing the population of Aceh Province, information about the population is needed. Therefore, this study will discuss several applications of mathematical methods in estimating the population of Aceh Province in the coming year using the Euler method and the Runge Kutta method of order 4. The results of the estimation of the population of Aceh Province using the Runge Kutta method are 5.030.503 inhabitants in 2021, 5.076.307 in 2022 and 5.122.486 in 2023 The estimation results using the Euler method are 5.026.162 in 2021, 5.071.745 in 2022 and 5.117.700 in 2022. The conclusion in this study is that estimation using the Runge Kutta method is a method that is better applied than the method Euler on the problem of estimating the population of Aceh Province. This is because the error value of the Runge Kutta method is smaller than the Euler method with an error value of about 0.04%. Key words : Runge Kutta, Euler, Population.
Co-Authors -, Anisha Mutia Abdurahman Abdurrahman Abdurrahman*, Abdurrahman Afridian Wirahadi Ahmad Agustiani, Mala agustina, yenni Aidil Akbar Alang Sari, Putrie Aldrin, Ilham Aulia Ali, Muhammad Fauzi Amy Fontanella Ananto, Rangga Putra Anastasia Yaniarwana Sarumaha Andini, Puti Cahyo Anisah Annisa Annisa Ardiansyah, Rahmad Arifqi, Muhammad Ariq, Ziyad Al Arkani, Hari Armel Yentifa Armel Yentifa Athreebil, Athreebil Azizah, Juwita Basir, M C. Kifli, Gontom Cahyani, Mhonyca Candra, Dori Gusti Alex Chairani, Mira Cut Azizah Cut Santika D. Suretno, Nandari Dandi Aprila Dedy Djefris Diah Gandoriah Diah Gandoriah Diptaningsari, Danarsi Dita Maretha Rissi Dwi Priyanto Eka Rosalina Eka Siskawati Eka Siskawati Eka Siskawati erdiansyah erdiansyah, erdiansyah Fatimah Zuhra Firman Surya Fitra Oliyan Gustia Westi halifah, elka Haniva Dela GUSTA Hasanah, Anggun Desmita Helni Rahma Fitri Henni Fitriani Ifwandi Ifwandi, Ifwandi Josephine Sudiman Junita Yosephine Sinurat Kiftia, Mariatul Kristina, Desi Kumalasari, Ine Kurniawati, Farida Lusianti, Erita Mai Simahatie MARIA BINTANG Marlina Marlina Masyitah, Istiqamatul Maulina, Vira Mawardi, Rahadian Meidaliyantisyah, Meidaliyantisyah Mochammad Imron Awalludin Muhammad Aziz Muharramsyah, Rambang Muliani, Vonny Munawarah Munawarah, Munawarah Murni, Intan Permata Mustika, Rasyidah Mutia, Vina Nahlidar, Nahlidar Novitasari, Erliana Nur Aini Nur Rohman Oca Amartya Awdes Oladokun Nafiu Olaniyi Pingki, Anadiya Prabaning Budi, Hasti Kusuma Prima Widitia Leoni Prisdinawati, Dwita Purba, Nadinda Oxa Zofandri Putri, Sanniyah Alya Putri, Siti Al Roza Selia Rahmayani, Rezkia Rahmi Novalita Rahmi Rahmi Rahmi, Ayu Raissa, Siti Ratna Sari Reno Fithri Meuthia Resti, Nindi Sulvina Mai Retna Qomariah Riski, Arpin Robet Asnawi Sabrina, Najiha Salsabila, Nur Satria, Teuku Dwirza Saumi, Fazrina Sembiring, Ibrahim Shalu Kumari Shaofa, Rizki Audiah Siti Nurlaili Triwahyuni Slameto Slameto sukri Sukri, sukri Sumaryanto Sumaryanto, Sumaryanto Sumira, Sumira Surnata, Surnata Sutrisno, Slamet Prasetyo Suwardi Suwardi Syafieh, Syafieh Syafira Ramadhea Jr Syamsulrizal Syamsulrizal, Syamsulrizal Tarisma, Tantri Ulfi Maryati Vebrita, Gina Vivianda, Tricia Wardani, Asri Wardani, Suci Wiwik Andriani Wylis A, Ratna Yanuarti, Mira Yaumidin, Umi Karomah Yeni Marlina Yesmira Syamra, Yesmira YULIA, Meri Zalida Afni