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Journal of Mathematics, Computation and Statistics (JMATHCOS)
Published by Universitas Negeri Makassar
ISSN : 24769487     EISSN : 27210863     DOI : https://doi.org/10.35580/jmathcos
Core Subject : Education,
Mathematics
Fokus yang didasarkan tidak hanya untuk penelitian dan juga teori-teori pengetahuan yang tidak menerbitkan plagiarism. Ruang lingkup jurnal ini adalah teori matematika, matematika terapan, program perhitungan, perhitungan matematika, statistik, dan statistik matematika.
Arjuna Subject : Matematika - Matematika Terapan
Articles 194 Documents
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Pemodelan Matematika SIRI pada Penyebaran Penyakit Tifus di Sulawesi Selatan Side, Syafrudin; Zaki, Ahmad; Sartika, Sartika
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 research aims to build a SIRI model of the Typhoid spread (Susceptible-Infected-Recovered-Infected) by adding assumption that people who are recovered might be infected again. This model is divided into three classes, namely, susceptible, infected and recovered. the research procedure is carried out through several stages: Building SIRI model for the spread of Typhoid, examining the stability of the equilibrium point and determining the basic reproduction number, and applying the model to Typhoid cases in South Sulawesi. The data is the number of Typhus patients in 2018 that was obtained from Health office of South Sulawesi Province. SIRI type mathematical models are used to determine the equilibrium point. Based on the simulation results of the SIRI model, the basic reproduction number is 0,000903 indicate that, indicating that the spread of Typhus in the Province of South Sulawesi in 2018 was not an extraordinary event or it can be said that someone who is infected with this Typhoid does not cause another person to contract the same disease, in other words there was no outbreak in that population.
Pengelompokan Daerah Rawan Kriminalitas di Sulawesi Selatan Menggunakan Metode K-means Clustering Irwan, Irwan; Sanusi, Wahidah; Saman, Febriyanto
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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Abstract

This research is an applied research that emphasizes how to carry out cluster analysis mathematically, knowing how to apply k-means clustering, and the characteristics of each group of crime-prone areas. The simulation data used in this study is data obtained from the Central Statistics Agency (BPS) of South Sulawesi Province. The data was then analyzed by the K-means clustering method. The results of the study show that there are four characteristics of each group of crime-prone areas in South Sulawesi. Group 1 is categorized as a crime-safe area, Group 2 is categorized as a crime-prone area, group 3 is categorized as a crime-safe area, and group 4 is categorized as an area that is quite prone to crime.
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 Numerik Model Matematika SIRI Metode Perturbasi Homotopi dalam Penggunaan E-money Sistem E-parking Ihsan, Hisyam; Zaki, Ahmad; Syuaiba, Nur
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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Abstract

This research is an applied research about application of the Homotopy Perturbation method to solve numeric solution of SIRI model in the use of E-money in E-parking system. The data that used in this research is a data which obtained by share the questionnaires to 236 respondents randomly at the research location at Panakkukang Mall, Nipah Mall and Ratu Indah Mall . This research starts from setermining general solution with Homotopy Perturbation method, parameter decision, simulation and result analyzis. This research gets movement graphic and resukt analyzis from SIRI model by riil data. The conclutions gets that the Homotopy Perturbation method can be used to analyze the preference of using E-money in E-parking system also can be a consideration by various parties to maximize the role of the use of E-money in various aspects in life, especially in E-parking.
Model Matematika SEIR Pada Kanker Kulit Akibat Paparan Sinar Ultraviolet Di Provinsi Sulawesi Selatan Side, Syafruddin; Zaki, Ahmad; Rahmasari, Norliana
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

This study aims to build a mathematical model of SEIR in skin cancer due to ultraviolet light exposure assuming that there is an incubation period in skin cancer. This model is divided into 4 classes namely susceptible, exposed, infected and recovered. The research procedure is carried out through the stages: make a SEIR model on skin cancer in the province of South Sulawesi, determine the equilibrium point of the model, analyze the stability of the equilibrium point, determine the base reproduction number ( ). The data used in building the model were skin cancer sufferers from 2018 to 2019 from Sudirohusodo Wahidin Hospital in Makassar. The results obtained that the greater the percentage of recovery rate of each infected individual due to treatment causes the population of the recovered class to increase and the population of the infected class to decrease. In other words skin cancer is not endemic in South Sulawesi Province.
Solusi Persamaan Burgers Inviscid dengan Metode Pemisahan Variabel Ihsan, Hisyam; Side, Syafruddin; Iqbal, Muhammad
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

This study examines the solution of Burgers Inviscid equation with variable separation method. The purpose of this study was to find out the simplification of the Navier-Stokes equation system into the Burgers Inviscid equation, find a solution to the Burgers Inviscid equation with the variable separation method, and simulate equation solutions using Maple18 software. The Burgers equation emerged as a complicated simplification of the Navier-Stokes equation system. The Burgers equation is a partial differential equation of conservation law and is a hyperbolic problem, i.e. the simplest nonlinear representation of the Navier-Stokes equation. The variable separation method is one of the classic methods that is effectively used in solving partial differential equations assuming to obtain the x and t components. Then there will be substitutions to differential equations, so that in this way there will be a partial differential equation solution.
Analisis Faktor-Faktor Yang Mempengaruhi Inflasi Di Pulau Sumatera Menggunakan Metode Regresi Data Panel Tanjung, Kartika Anjalya; Sufri, Sufri; Kholijah, Gusmi
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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Abstract

Inflation is a dilemma that haunts the economy of every country, especially for developing countries in the world. Inflation is an economic situation in which prices in general increase continuously over a long period of time. Some indicators that are considered to affect the occurrence of inflation, namely the consumer price index, gross regional domestic product, district/city minimum wage, and economic growth. One of the methods used in analyzing factors that affect inflation on the island of Sumatra is the Data Regression Panel Method which is an analysis to model the influence of free variables on bound variables over a certain period of time with an observation as an object in the study. This study conveys that the best regression model obtained is the Fixed Effect Model (FEM). The model conveys partially only variable consumer price index and economic growth that most significantly affect the rate of inflation on the island of Sumatra. However, all variables, namely the consumer price index, gross regional domestic product, district/city minimum wage, and economic growth in the FEM model together or simultaneously are able to explain the inflation rate on the island of Sumatra at 58.19%, the remaining 41.81% is explained by other variables outside the unexplored model.
Bilangan Kromatik Pewarnaan Titik pada Graf Dual dari Graf Roda Abdy, Muhammad; Syam, Rahmat; Tina, Tina
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

This research aims to construct a dual graph from a wheel graph (Wn*) and determine the dual graph chromatic number of the wheel graph (Wn*). This research starts from describing some wheel graph from to , then construct a dual graph from a wheel graph from to , then gives color to the vertices of the dual graph by determining the chromatic number. The result showed that the wheel graph is a self-dual graph because it is isomorphic with its dual graph, namely . The vertex coloring is obtained by determining the chromatic number of the dual graph of the wheel graph, determining the pattern of the chromatic number and giving the color. Based on the research results, the chromatic number of vertex coloring on dual graph of a wheel graph is:
Optimasi Pendistribusian Air dengan Metode North West Corner dan Metode Modified Distribution di PDAM Wae Manurung Kabupaten Bone Syam, Rahmat; Ihsan, Hisyam; Muktamar, Muhammad 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

This study discusses the Optimization using types of transportation model that application North West Corner method (NWC) and Modified Distribution Method (MODI) on the stock of water in PDAM Wae Manurung Bone Regency. The water distribution data is formulated with a transportation model, so that in order to obtain the model is generated a balance model with addition dummy variable and export table water distribution, obtained a feasible initial solution by calculation using North West Corner method (NWC). Based on a feasible initial solution obtained the optimum solution using the Modified Distribution Method (MODI). The results of this study indicate that with the application of the Transportation Model there was a optimization occurs in water distribution costs in Bone Regency in June 2019 of 52.22% compared to the calculation results by PDAM Wae Manurung Bone Regency.
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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Abstract

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.

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