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All Journal The Journal of Experimental Life Sciences (JELS) EIGEN MATHEMATICS JOURNAL Mandalika Mathematics and Educations Journal Contemporary Mathematics and Applications (ConMathA) Jurnal Diferensial Lombok Journal of Science Griya Journal of Mathematics Education and Application Rengganis Jurnal Pengabdian Masyarakat Journal of Research Applications in Community Services Bakti Sekawan : Jurnal Pengabdian Masyarakat Parameter: Jurnal Matematika, Statistika dan Terapannya Semeton Mathematics Journal Sinergi dan Harmoni Masyarakat MIPA Perspectives in Mathematics and Applications (PERMATA)
Rio Satriyantara
Universitas Mataram
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Analisis Indeks ABC pada Invers dan Graf Non-Commuting Grup hingga Sefti Fajriatul Musyarrofah; Rio Satriyantara
Perspectives in Mathematics and Applications Vol 1 No 1 (2025): Juni
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This study investigates the Atom Bond Connectivity (ABC) index applied to inverse and non-commuting graphs of finite groups. The research focuses on two distinct structures: inverse graphs formed from generalized quaternion groups and non-commuting graphs derived from non-abelian finite groups. By utilizing topological index Theory, particularly the ABC index introduced by Estrada, the study aims to characterize the graph structures based on vertex degrees. The ABC index is determined using known group properties and edge classifications for the inverse graphs of generalized quaternion groups. Similarly, the ABC index of non-commuting graphs is explored by analyzing group centers and the connectivity patterns among non-central elements. The results reveal that the ABC index quantifies group connectivity, enhancing the understanding of structural properties in algebraic graph representations. This analysis contributes to the broader application of graph Theory in abstract algebra and theoretical chemistry.
Analysis Of Solving Ordinary Differential Equations With A Comparison Of Adam-Bashforth Moulton And Milne-Simpson Methods Trias Kurnia; Neti Esta Wardaningsih; Ni Nengah Anggita Purwanti; Nuzla Af’idatur Robbaniyyah; Satriyantara, Rio
Griya Journal of Mathematics Education and Application Vol. 5 No. 4 (2025): Desember 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i4.847

Abstract

Ordinary Differential Equations (ODEs) are mathematical models widely used in various fields of science and engineering to represent dynamic phenomena.. This study aims to compare the performance of two multi-step numerical methods, namely the Adams–Bashforth–Moulton (ABM) method and the Milne–Simpson (MS) method, in solving ordinary differential equations. The analysis was carried out by implementing both methods using the Python programming language and comparing their numerical results to the exact solution. Based on the simulation graphs, both methods produced results that closely matched the exact solution, with nearly overlapping curves throughout the time interval from zero to two. However, the absolute error analysis showed that the MS method generated smaller errors and a more stable error growth compared to the ABM method, especially at longer time steps. This indicates that although both methods are accurate, the Milne–Simpson method tends to be more stable over time. This study provides a comprehensive overview of the strengths of each method and can serve as a reference in selecting efficient and accurate numerical methods for solving ordinary differential equations.
Numerical Simulation of SIA Model in HIV/AIDS Using Euler and 4th OrderRunge-Kutta Method Dhity Rismawati; Livia Alda Rahmania; Naada Zahira; Nuzla Af’idatur Robbaniyyah; Satriyantara, Rio
Griya Journal of Mathematics Education and Application Vol. 5 No. 4 (2025): Desember 2025
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v5i4.921

Abstract

The HIV/AIDS epidemic remains a major public health issue, particularly in regions such as West Nusa Tenggara, Indonesia, where the number of reported cases continues to rise. To better understand and predict the spread of the disease, mathematical modeling provides a valuable analytical tool. This study employs the SIA (Susceptible-Infected-AIDS) compartmental model to describe the dynamics of HIV/AIDS transmission within the population. The model incorporates a latent phase, distinguishing it from simpler models and making it more suitable for diseases with long incubation periods such as HIV/AIDS. Two numerical methods, that is Euler and the 4th Order Runge–Kutta (RK4), are applied to solve the system of nonlinear differential equations derived from the model. Using official epidemiological data from 2023 in West Nusa Tenggara, the simulation tracks the evolution of the population across the three compartments over a 12-month period. The results indicate a consistent decline in the number of susceptible individuals and an increase in both infected and AIDS-diagnosed individuals. The basic reproduction number, , suggesting that the disease is endemic in the region. Stability analysis further confirms that the disease-free equilibrium is unstable, while the endemic equilibrium is locally asymptotically stable. These findings highlight the urgency of targeted interventions and demonstrate the importance of mathematical models in guiding public health strategies for disease control.
Pengenalan Basic Coding sebagai Upaya Penguatan Literasi Digital di SMP Negeri 1 Praya Tengah Paqih, Muhammad Imam Al; Adriansyah, Muhammad; Dani, Ifan Hasnan; Hardi, Rida Alkausar; Ramadhan, Fitrah; Satriyantara, Rio; Nababan, Maxtulus Junedy
Sinergi dan Harmoni Masyarakat MIPA Vol. 2 No. 1 (2025): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v2i1.8566

Abstract

This community service activity aims to enhance students’ digital literacy through the introduction of basic coding at SMP Negeri 1 Praya Tengah. Digital literacy is an essential competence in the era of information technology, encompassing not only the ability to operate digital devices but also the capacity to think logically, critically, and creatively in solving problems using technology. This program was implemented by the MBKM MAPS team from the Department of Mathematics, University of Mataram, involving seventh-grade students as participants. The implementation stages included preparation (coordination and planning), execution (introduction to basic coding concepts using the Python language on the Google Colab platform), and evaluation through pre-test and post-test to measure the program’s effectiveness. The results of the paired samples t-test analysis indicated a significant improvement in students’ abilities after participating in the training, with a mean difference value of  and a significance value of . These results demonstrate that the activity successfully improved students’ understanding of programming logic and computational thinking skills. In addition to the statistical improvement, observations showed high enthusiasm among participants in practicing simple coding tasks. Overall, this activity has had a positive impact on enhancing digital literacy and represents an initial step in fostering a technology-based learning culture within the school environment.
Co-Authors Abdurahim, Abdurahim Ade Irawan Adi Irawan Adriansyah, Muhammad Agus Kurnia Alfian Eka Utama Alfian Eka Utama Alfian Eka Utama Ardana, Alfian Putra Ayes Malona Siboro Dani, Ifan Hasnan Dara Puspita Anggraeni Dara Puspita Anggraeni Dara Puspita Anggraeni, Dara Puspita Dewi, Irma Risvana Dhity Rismawati Dwi Agustini Dwi Agustini, Dwi Fariz Maulana Farwan Farwan Farwan, Farwan Fathul Maulina Wahidah Fauzi, Andri Azmul Fauzi, Muhammad Hilmi Graha, Syifa Salsabila Satya Gusti Yogananda Karang Hardi, Rida Alkausar Harsyiah, Lisa Helmi Hariyanti Hidayat, Malik Hidayat, Noor Hidayatullah, Azka Farris I Gede Adhitya Wisnu Wardhana I Gede Adhitya Wisnu Wardhana Inayati, Rizqa Irma Risvana Dewi Irma Risvana Dewi Irma Risvana Dewi Irwansyah Irwansyah Irwansyah Irwansyah Karang, Gusti Yogananda Kusuma, Shendy Arya Lailia Awalushaumi, Lailia Lalu Riski Wirendra Putra Lia Fitta Pratiwi Lilik Hidayati, Lilik Lismawanti Safitri Livia Alda Rahmania Luzianawati, Luzianawati Maharani, Andika Ellena Saufika Hakim Malik, Deny Putra Mamika Ujianita Romdhini Mamika Ujianita Romdhini, Mamika Ujianita Marhani Marwan Marwan Maulana, Fariz Muhammad Rijal Alfian Naada Zahira Nababan, Maxtulus Junedy Neti Esta Wardaningsih Ni Nengah Anggita Purwanti Nuzla Af’idatur Robbaniyyah Pahrurrozi Pahrurrozi Paqih, Muhammad Imam Al Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Qurratul Aini Ramadhan, Fitrah Ramadhan, Hikmal Maulana Rendi Bahtiar Pratama Ria Maulina Ridwan, Lalu Muhammad Ripai, Ripai Rismayatun Ainun Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Rohmah, Zulfiani Salwa Salwa Satriawan Pradana Sefti Fajriatul Musyarrofah Siboro, Ayes Malona Suryanto, Agus Syaftirridho Putri Syamsul Bahri Syifa Salsabila Satya Graha Tri Maryono Rusadi Trias Kurnia Tumilaar, Rinancy Utama, Alfian Eka Wahidah, Fathul Maulina Widiastuti, Ratna Sari Zarkasi Zarkasi Zata Yumni Awanis Zata Yumni Awanis Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara