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Susi Setiawani
Universitas Jember
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Journal : Jurnal Matematika UNAND

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Numerical Modelling of Social Media Addiction Cases Using 15th Order Runge-Kutta Fatahillah, Arif; Prihandini, Rafiantika Megahnia; Hidayatullah, Arfan; Setiawani, Susi; Adawiyah, Robiatul
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 Abdurrahman Salim Afifah, Ngizatul Agnes Ika Nurvitaningrum, Agnes Ika Agustin, Nurul wahyu Ambarwati, Reza Anggraini, Azza Liarista Angrenani, Arin Berliana Arianda, Tarisa Arif Fatahillah Arif Wicaksono Arika Indah Kristiana Arin Berliana Angrenani ArRuhimat, QurrotaA’yuniArRuhimat A’yuni Azza Liarista Anggraini CahyaPrihandoko, Antonius D. Dafik Devi Permatasari Dewi ANGGRAENI Dewy, Elitta P Dian Kurniati Dinawati Trapsilasiwi Dody Dwi Aprianto Edy Wihardjo Eka, Rizqi Erfan Yudianto Ervin Oktavianingtyas Evi Rahmawati Falih Hemi Wibisono Putra Fauziyah, Faridah Feri Widyawati, Yuli Ferry Kurnia Putra Firda, Jazilatul Hasan, Ayu Zulfiah Hendra Laksana, Priyo Dwi Hermawan, Lendi Ike Hidayatullah, Arfan Hobri Hossiyatur Robbah, Hossiyatur Ikram, Risnul Lailatul Indiyawati, Wiwik Ira Noviliya Noviliya Irma Khoirul Ummah, Irma Khoirul Kholifatur Rosyidah Kuswanti, Yayuk Laksananti, Putri Meilinda Lestari, Nurcholif Diah Sri Lioni Anka Monalisa, Lioni Anka Lusia Dewi Minarti Lusia Dewi Minarti M Daenasty Caezar Zahra Madinda, Diah Putri Manohara, Nalayuswasti Yatna Marie Afiani Mauhibatul Khoroid Maylisa, Ika Nur Megahnia Prihandini, Rafiantika Miftahul Jannah Moch. Zaenal A Mochammad Ulin Nuha Mochammad Ulin Nuha Mukharomah, Umi Latifah NAJIB, MOCHAMMAD IDFANI WAHIB Ngizatul Afifah Ni'mah, Anis Fitriatun Novian Nur Fatihah Nurfadilah Nurfadilah Nuroeni, Ilmiatun Nurul Hidayati Arifani, Nurul Hidayati Orel Revo Sackhi Usdelivian Pradista, Vyke Triawilly Pratiwi, Alfiani Dyah Pratiwi, Putri Indah Prisma Brilliana Putri, Inge Wiliandani Setya QurrotaA’yuniArRuhimat A’yuni ArRuhimat Rafiantika Megahnia Prihandini Rahayu, Diah Pujining Randi Pratama Murtikusuma Reza Mega Ardhilia Robiatul Adawiyah Robiatul Adawiyah Rohadatul Aisy, Fairuz Aufa S Slamin S Suharto S Sunardi Saddam Hussen Sandy, Perdana Arief Saranta, Nira Nityasa Selly Minalasari Septiyani Setyo Wulandari Setiawan, Totp' Bara Solly Aryza Sri Wahyuni Suci Rohmatul Hidayah, Suci Rohmatul Suharto Suharto Sunardi Sunardi Suryandari, Nurlayli Dewi Susanto Susanto Syafitriyah, Dini Theriq Azis Al Husein Topa, Siti Il Toto Bara Setiawan Ulfa Amalia Febriyanti, Ulfa Amalia Ulul Azmi umul husna Wardani, Putu Liana Wibowo, Hendrik Cahyo Widhaning, U'ul Ulinuha Rahajeng WIHARDJO, EDY Yunta, Girlyas Rasta