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All Journal dCartesian: Jurnal Matematika dan Aplikasi Seminar Nasional Variansi (Venue Artikulasi-Riset, Inovasi, Resonansi-Teori, dan Aplikasi Statistika) Saintifik : Jurnal Matematika, Sains, dan Pembelajarannya Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Jurnal Ilmiah Wahana Pendidikan Journal La Edusci ARRUS Journal of Mathematics and Applied Science Seminar Nasional Pengabdian Kepada Masyarakat Internet of Things and Artificial Intelligence Journal Seminar Nasional Hasil Penelitian LP2M UNM Information Technology Education Journal Journal of Embedded Systems, Security and Intelligent Systems Ininnawa: Jurnal Pengabdian Masyarakat Jurnal Kemitraan Responsif untuk Aksi Inovatif dan Pengabdian Masyarakat Paramacitra : Jurnal Pengabdian Masyarakat Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat (JHP2M) Jurnal MediaTIK Journal of Mathematics, Computation and Statistics (JMATHCOS) d'Cartesian: Jurnal Matematika dan Aplikasi Journal of Computers, Informatics, and Vocational Education
Wahyuni, Maya Sari
Jurusan Matematika FMIPA UNM
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Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

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Metode Runge-Kutta dalam Menentukan Solusi Numerik Model SEIR Penyebaran Penyakit Hepatitis B di Provinsi Sulawesi Selatan Wahyuni, Maya Sari; Sanusi, Wahidah; Janide, Anugrah
Journal of Mathematics, Computations and Statistics Vol. 7 No. 1 (2024): Volume 07 Nomor 01 (April 2024)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v7i1.1956

Abstract

Penelitian ini bertujuan untuk mencari solusi numerik model matematika penyakit Hepatitis B di Provinsi Sulawesi Selatan menggunakan metode Runge-Kutta orde empat dan orde lima. Model matematika penyakit Hepatitis B berbentuk persamaan differensial model SEIR yang diselesaikan secara numerik menggunakan metode Runge-Kutta orde empat dan metode Runge-Kutta orde lima yang dilakukan sebanyak 500 iterasi dengan waktu interval h = 0,01 bulan. Nilai awal dan nilai parameter disubtitusi ke dalam solusi numerik terhadap model disimulasikan menggunakan Maple. Hasil yang didapat Metode Runge-Kutta Orde Empat menunjukkan bahwa nilai laju setiap kelas untuk 5 bulan ke depan saat t = 5 untuk laju kelas individu rentan (S) sebesar 670822, untuk kelas individu terekspose (E) sebesar 178983, untuk kelas individu terinveksi (I) sebesar 77 dan kelas individu sembuh (R) sebesar 51327. Hasil yang didapat Metode Runge-Kutta Orde Lima menunjukkan bahwa nilai laju setiap kelas untuk 5 bulan ke depan saat t = 5 untuk laju kelas individu rentan (S) sebesar 670551, untuk kelas individu terekspose (E) sebesar 181380, untuk kelas individu terinveksi (I) sebesar 0 dan kelas individu sembuh (R) sebesar 56539. Ini berarti diantara penggunanaan metode Runge-kutta Orde Empat dan Metode Runge-Kutta Orde Lima, Penggunaan metode Runge-Kutta Orde Lima Merupakan metode yang lebih baik.
Penerapan Metode Iterasi Jacobi dan Gauss-Seidel dalam Menyelesaikan Sistem Persamaan Linear Kompleks Ihsan, Hisyam; Wahyuni, Maya Sari; Waode, Yully Sofyah
Journal of Mathematics, Computations and Statistics Vol. 7 No. 1 (2024): Volume 07 Nomor 01 (April 2024)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v7i1.1964

Abstract

Penelitian ini adalah penelitian murni yang bertujuan untuk mengetahui penerapan metode iterasi jacobi dan gauss-seidel dalam menyelesaikan sistem persamaan linear kompleks baik secara manual maupun dengan menggunakan program aplikasi Matlab. Sistem persamaan linear yang digunakan adalah sistem yang memiliki 4 persamaan dengan 4 variabel, 5 persamaan dengan 5 variabel dan 6 persamaan dengan 6 variabel. Galat yang digunakan pada penelitian ini adalah dengan tebakan awal = 0. Setelah mendapatkan hasil iterasi menggunakan kedua metode tersebut maka selanjutnya membandingan antara kedua metode tersebut dengan melihat banyaknya iterasi. Berdasarkan penelitian ini diperoleh hasil bahwa metode iterasi jacobi dan gauss-seidel dapat diterapkan untuk menyelesaikan sistem persamaan linear kompleks serta metode gauss-seidel lebih baik digunakan untuk menyelesaikan sistem persamaan linear kompleks karena mempunyai iterasi yang lebih sedikit.
Algoritma Warshall untuk Penyelesaian Masalah Vehicle Routing (Studi Kasus : Pendistribusian PT Semen Bosowa di Makassar) Syafruddin Side; Maya Sari Wahyuni; Hadrianty Ramly
Journal of Mathematics, Computations and Statistics Vol. 1 No. 01 (2018): Volume 01 Nomor 01 (April 2018)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Warshall is an algorithm to calculate the shortest distance for every pair of points in a locationthat can be converted into a directed and weighted graph, in the form of vertex (V) and edges (E), and mosthave at least one side at any vertex. Vehicle Routing Problem (VRP) is included in the class of NP-hardproblem in combinatorial optimization, making it difficult to solve with exact methods applicable ingeneral. This study beginning with mathematical concepts Implementation of Algorithms Warshall, whichis taking the data distribution from the Company, the search for weight trajectory, changing into a matrixwith n × n squares in this case matrix used measuring 11 x 11, apply the algorithm Warshall in the matrixobtained, the second is the implementation of Algorithms Warshall using Microsoft Visual Basicprogramming language. The equation used is the first representation of the graph to a weighted matrix D= [dij] ie the distance from the vertex i to j; The second order decomposition with dij(k). D (k) be the nxnmatrix [dij(k)] so that the limit k to n for k = 0, 1, ..., n; Third observation structures shortest path done intwo ways: if k is not a vertex on the path (the shortest path length dij (k-1)) and k is the vertex on the path(the shortest path length dij (k-1) + dij (k -1)), it contains a subpath from i to k and a subpath from k to j.The fourth iteration numbered 0 through n. The result showed that the method Warshall algorithm cansolve the problems of determining the shortest route in the distribution of PT Semen Bosowa by calculatingthe distance of the entire passage is in the distribution of cement Bosowa in Makassar
Model Space Time Autoregressive (STAR) dan Aplikasinya Terhadap Penyakit Demam Berdarah Dengue di Provinsi Sulawesi Barat Wahidah Sanusi; Maya Sari Wahyuni; Rahmat Setiawan
Journal of Mathematics, Computations and Statistics Vol. 1 No. 02 (2018): Volume 01 Nomor 02 (Oktober 2018)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

The Space Time Autoregressive (STAR) model is a time series data that has a link between locations (space time). The purpose of this study was to obtain a STAR model that was in accordance with the data on the number of dengue fever patients in West Sulawesi Province and also the forecast data for the next few months. Data in the form of DHF data in five locations, namely Mamuju City, Majene Regency, Polmas District, Central Mamuju Regency, and North Mamuju Regency from January 2014 to July 2016. STAR Estimation parameter model uses vertical squares (MKT) method. The STAR model that matches the data on the number of DHF patients in West Sulawesi Province is the STAR5 model (11). The weighting is a uniform location. In the estimator checking results using uniform location weight of three models. Things that happen between others. Forecast results with the STAR5 (11) model on the number of dengue fever patients in West Sulawesi Province for the next two months, namely August to September 2016, namely 9 people for Mamuju City and 12 people for Polman Regency.
Matriks Kabur dan Karakteristiknya Muhammad Abdy; Maya Sari Wahyuni; Muh. Hadi Purnomo
Journal of Mathematics, Computations and Statistics Vol. 2 No. 01 (2019): Volume 02 Nomor 01 (April 2019)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research examines the definitions, operations, and theorems of fuzzy matrices and their characteristics. The literature used as a reference is an article written by Pal (2016), Sidky & Emam (1992), and Suroto & Wardayani (2015). The results can be given improvements to the operations used in the fuzzy matrix and the set of square fuzzy matrix theorems can be extended to fuzzy matrix set theorems. In addition, it was concluded that the set of square fazzy matrix fulfilled the algebraic properties for semigroup and semiring. But it does not fulfill algebraic properties for groups and rings.
Penerapan Analisis Faktor Eksplanatori pada Pengambilan Keputusan Mahasiswa Membeli Produk Online di Kota Makassar Ihsan, Hisyam; Wahyuni, Maya Sari; Kurnadipare, Aleytha Ilahnugrah
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Abstract. This research is applied research using exploratory factor analysis in the decision making of students buying online products in Makassar City. The data collection method used was a survey through a questionnaire. There are 8 explanatory variables or factors that are the focus of the research, each consisting of 4 indicators with a total of 240 respondents. Tests were performed using KMO, Bartlett and MSA tests, as well as confirmation of eigenvalues greater than 1 and based on emerging loading factors, 8 factors influence student decision making to buy online products, namely customer review factors, process factors and free shipping costs, influencer marketing factors, price factors, distribution factors, promotion factors, product factors, and shopping terms factors.
Analisis K-Medoid Untuk Pemetaan Tingkat Pencemaran Udara di Provinsi Sulawesi Selatan Irwan; Wahyuni, Maya Sari; Sulaiman
Journal of Mathematics, Computations and Statistics Vol. 5 No. 2 (2022): Volume 05 Nomor 02 (Oktober 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Cluster analysis serves to group objects with high similarity of characteristics in one cluster while objects with dissimilarity of characteristics are in different clusters. Cluster analysis is divided into two, namely hierarchical and non-hierarchical. This study applies a non-hierarchical cluster analysis, namely the k-medoid method to group districts/cities and their four sectors, namely transportation, industrial/agroindustrial, residential, office/commercial in South Sulawesi Province based on indicators that make up the 2019 Air Quality Index (AQI) value and 2020. AQI are categorized based on six Environmental Quality Index (EQI) statuses. To get the best clusters from the k-medoid process, each cluster needs to be evaluated using the silhouette coefficient value. The results of this study indicate that k = 2 clusters from the k-medoid method are the best cluster initiations with the best silhouette coefficient value of 0.56. The results of the analysis of the cluster results show that with the use of 2 clusters, for 2019 passive sampler data, cluster 1 is included in the very good EQI category with a AQI value of 84.14 and cluster 2 is in the less EQI category with an AQI value of 60.04. For the 2020 passive sampler data, cluster 1 is included in the good EQI category with a AQI value of 80.68 and cluster 2 is in the less EQI category with a AQI value of 61.53.
Solusi Model Perubahan Garis Pantai dengan Metode Transformasi Elzaki Wahyuni, Maya Sari; Sukarna, Sukarna; Rosadi, Muh. Irham
Journal of Mathematics, Computations and Statistics Vol. 4 No. 2 (2021): Volume 04 Nomor 02 (Oktober 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

The beach is a region that is often used for various human activities, however often these utilization efforts cause beach problems so that the shoreline changes. One way that can be used to determine changes in shoreline is to make a mathematical model. The shoreline change model shaped of partial differential equation can be solved analytically by using the Elzaki transform method. The Elzaki transform method is a form of integral transform obtained from the Fourier integral so that the Elzaki transform and its basic properties are obtained. Shoreline change in this research were affected by groyne. Solution of shoreline change model using Elzaki transform method is carried by applying the Elzaki transform to the shoreline change model to obtain a new shoreline change model, then applying the boundary value, then applying the inverse of Elzaki transform so obtained a solution shoreline change model. Based on the research result, it was found that there was a similiarity between the graphic patterns generated from the solution of shoreline change model using Elzaki transform method and the solution of shoreline change model using numerical method.
Solusi Persamaan Adveksi-Difusi dengan Metode Dekomposisi Adomian Laplace Abdy, Muhammad; Wahyuni, Maya Sari; Awaliyah, Narisa Fahira
Journal of Mathematics, Computations and Statistics Vol. 5 No. 1 (2022): Volume 05 Nomor 01 (April 2022)
Publisher : Jurusan Matematika FMIPA UNM

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This paper discusses about the solution of advection-diffusion equation. The advection-diffusion equation is a mathematical equation designed to study the phenomenon of pollutant transport. This paper is using Laplace Adomian Decomposition method to solve the advectiondiffusion equation. The Laplace Adomian decomposition method is one of method which can be used to solve a differential equation that combines Laplace transform method and Adomian decomposition method. The solution is obtained by applying the Laplace transform to the advection-diffusion equation, substituting the initial conditions, converting the solution into the form of an infinite series, determining the terms, and applying the inverse Laplace transform to the terms of the infinite series. The results of this paper is the advection-diffusion equation can be solved by using Adomian Laplace decomposition method.
Solusi Numerik Model SIR pada Penyebaran Penyakit Hepatitis B dengan Metode Perturbasi Homotopi di Provinsi Sulawesi Selatan Side, Syafruddin; Wahyuni, Maya Sari; Rifki, Muh.
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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This research aims to find out the numerical solustion from a SIR model on the spread of Hepatitis B by Homotopy Perturbation Method. This research used a secundary data from Rosdiana’s research (2015) focused on SIR model and number of Hepatitis B in South Sulawesi 2015 from Health Department of South Sulawesi. The discussion started by determining general solution with Homotopy Perturbation Method, parameter decision, simulation and result analyzis. After conducting an analyzis from numeric simulation it shows that the Homotopy Perturbation Method can be used to analyze the preference of Hepatitis B treatment in South Sulawesi also can be a consideration for preventing action of infectious disease of Hepatitis B. This research gets movement grafic and result analyzis from SIR model by riil data.
Co-Authors Abdal, Nurul Mukhlisah Abdul Rahman Ahmad Faisal AHMAD ZAKI Ahmad Zaki Aleytha Ilahnugrah Kurnadipare Alimuddin Ambo Dalle Andi Muhammad Mu'adz Ari Soesilo Wandrio Arifuddin R As'ad, Annisa Asiani Abu Asni, Asriani Asnita Asriani Asnita Asni Asti, A. Sri Wahyuni Atika Amanah, Atika Awaliyah, Narisa Fahira Baso Intang Sappaile Bernard Dian Atmasani Djadir Djadir, Djadir Edy, Marwan Ramdhani Fadhlirrahman Baso Fajar Arwadi Fettyana, Fettyana Hadrianty Ramli Hadrianty Ramly Handayani, Mita Puri Harianto Harianto Harianto Hasan Basri Hisyam Ihsan Ilham Minggi Imran Irwan Irwan Irwan Irwan Irwan Ja'faruddin, Ja'faruddin Jamaluddin Jamaluddin Janide, Anugrah Ja’faruddin Johar Amir Johar Amir Jumadi Mabe Parenreng Khadijah Khadijah Kurnadipare, Aleytha Ilahnugrah Kurnia Prima Putra Liani, Ahyani Mirah Mariani Mariani Mariani Muh. Aries Muh. Hadi Purnomo Muh. Hadi Purnomo Muh. Irham Rosadi Muh. Rifki Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Fajar B Muhammad Isbar Pratama Mu’adz, A. Muhammad Narisa Fahira Awaliyah Nasrah Natsir Nasrah Natsir Nasrah Natsir Nasrullah Nasrullah Ni Luh Gede Sri Yuliastini NUR FADILAH Nur Ilmi Nurhijrah, Nurhijrah Nurul Jamiah Sidiq Nurul Mukhlisah Abdal Parwoto, Parwoto Pratiwi, Annisa Triananda R. Rasmini R. Rasmini Rahmat Setiawan Rahmat Syam Rezky Amalia Hamka Ridwan Daud Mahande Rifki, Muh. Rizal, Fahru Rosadi, Muh. Irham Sahid Sahlan Sidjara Siddik, Andi Muhammad Amil Sidjara, Sahlan Siti Helmyati Sitti Masyitah Meliyana R. Suardi suardi suardi Sukarna Sukarna Sukarna Sukarna Sulaiman Sulaiman Sulaiman Sulaiman Sulaiman Sulaiman Sulaiman Sulaiman Sulaiman Sutamrin, Sutamrin Syafruddin Side Syarif Hidayat Syawaluddin, Ahmad Thaha, Irwan Tri Sugiarti, Tri Usman Mulbar Wahidah Sanusi Waode, Yully Sofyah Zulfitra, Muhammad