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Numerical Modelling of Social Media Addiction Cases Using 15th Order Runge-Kutta Arif Fatahillah; Rafiantika Megahnia Prihandini; Arfan Hidayatullah; Susi Setiawani; Robiatul Adawiyah
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.400-410.2025

Abstract

The advancement of information technology has led to more and more people, especially teenagers, becoming addicted to using various social platforms. Despite being a very useful application for social interaction, the habit of spending excessive time on social media is prone to addiction so that teenagers can experience anxiety disorders, depression, health problems, and more. The purpose of this study is to determine the effectiveness of the 15th-order Runge-Kutta method in solving mathematical models in the case of social media addiction. The method used in this research uses experimental research and data collection is done by systematically observing and recording the research indicators. The research was conducted by observing the error, number of iterations, running time, and graphs. In this study, adolescents aged 15-18 years were divided into three compartment states which were modeled into mathematical equations. The results of this study indicate that the 15th order Runge-Kutta method is more effective for solving mathematical models on social media addiction compared to Ordinary Differential Equation (ODE).
Co-Authors - Fransisca Abd. Kholid Abdul Ghofur Abim Triatna Acep Mulyadi Ade Naelul Huda Ade Wirdayanto Adhi Ayik Second Ridho Ageng Abdi Putra Agung Nugroho Ahmad Faiz Ahmad Mukhlisin Ahmad Sudi Pratikno Ainun Atikah Aisah Citra Ayu Aisyah Bashiratul Mahiroh Akhmad Noor Aliyah Amalia Diah Syah Putri Ana Andriyani Anang Efendi Ani Fitriyah Aning Tri Diastutik Anis Fadhilah Pramono Annisa Nur Arfan Hidayatullah Artika Dwi Cahyani Asripa Atiek Nurindriani AYU NAFILATIN Azainil Azainil Basalamah, Muhammad Ridwan Bekti Muhlisiana Esti Bintang Priyantika Putri Damanik, Agustina Desy Fitriani Devi Fitriah Islamiyah Dewi Nur Ramadani Dewi Pusparini Dian Efrilia Dinda Dwi Astutik Dwi Frashinta Dwi Nurista Dzeze Zakaria Hamzah Elfiana Febrianti Enjum Jumhana Enny Lestari Erba Rozalina Erika Zakiah Sholiha Esy Maryanti Eva Rosdiana Br Sitepu Evi Muliani Fadilah Falah Syifa Faiz Fikri Alfahmi Faizzatur Rahma Azzahrah Faturohman Faturohman Fida Annur Fildza Hafazana Fitriana Harahap Gelar Dwirahayu Ginan Nafsih Herlini Puspika Sari Hermansyah Surya Pratama Hermanto Harun Hikma Ilmul yaqin Husin Sariangsah I Gusti Ayu Mirah Ichsan Nur Alamsyah Ina Nopia Dinta Lestari Inayah Indiarti, Kinanti Indiarti Indra Hambali Indriana Warih Windasari Intan Nur Fadillah Intan Nur Fadillah Isnatur Rhohmah Izzatul Milarifa Joseph MJ Renwarin Junita Irawati Karmanto, Bambang Keisha Najwa Aqilah Khairul Fuadi Kholidah Nur Kholisotul Munawaroh Khozaimah Kurniawati Mulyanti Lailatur Rizqi Milatur Rakhmah Laili Komariyah, Laili Laili, Elisa Nurul Laily Oktavia Ningrum Latifah, Milahtul Levania Anggesta Lintang Tirta Putri Lucky Dafira Nugroho Luh Putu Ratna Sundari M. Ardiansyah M.Robby Salim Maryani Maslahul Ihsan Michael Khrisnia MIFTAHUL JANNAH Mohammad Syaltut Abduh, Mohammad Syaltut Muhammad Chaidar Muhammad Diki Saputra Muhammad Faris Muhammad Iqbal Hidayat Muhammad Khozinul Afkari Muhammad Rendi Ramdhani Muhammad Saleh Mire Mukharomah Nabila Nabila Nadya Artha Joecha Mayvea Nafi`Atus Tsaniyah Naila Izza Nur Salimah Namira, Syafira Nihla Nanik Retnowati Nidia Enjelita Saragih Nikmatul Musayadah Ninis Fitriana Nita Budiyanti Novita Widyastuti Sugeng Nur Aisatus Sholehah Nur Muhammad Nurhayati Nurul Arifin, Rifatul Hasanah Nurul Hidayah Nynda Fatmawati O Putri Vera Vinata Qurrotul Uyun Rafiantika Megahnia Prihandini Rahmani Ramli Rahmawati Alwi Raihani Alvinna Fitriyani Ratih Meisda Sari Ratna Sari Dewi Reza Hilmy Luayyin Ria Eliza Richa Ismatul Afifah Ridholloh Rinaldi Rio Eldianson Risa Zahra Rizal Nurzuli Rizkison, Rizkison Rohanah Rohanah Rohmah, Dewi Rosmidar Rosmidar Rozalifah Bella Syafitri Sabrun Jamil Saleh Mire Salila Fitriah Zulfa Salsabila Rahmadini Sandhy Fauzan Ramdansyah Selvi Edilah Septi Indriyani Shifa Khalisa Melza Sintia Febriyanti SITI AISAH Siti Fadhilatum Mardhiyah Siti Hofifah Siti Julhijjah Siti Maghfirotin Shoimah Siti Nurhidayah Siti Sri Wahyuni Siti Zahara Sonia Silastia Sri Amanda Jaya Aprilia Sulis Suhartini Susi Setiawani Syadidul Vikri Zamroni Syarifah Salsa Nur Fadhilah Syifa Meilinda Syukri Saleh Tazkia Annafisah Tira Aprilia Tiyas, Mutiah Cahyaning Tiyas Tri Lulu Handayani Ubaidila Walito Widi Winarso Widya Alfia Yulina Fadilah Yunita Sari Yusuf Hadi Wijaya Zahida I'tisoma Billah Zumrotul Munawaroh