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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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On The Boundedness Properties of the Generalized Fractional Integrals on the Generalized Weighted Morrey Spaces Ramadana, Yusuf
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

Morrey Spaces were first introduced by C.B. Morrey in 1938. Morrey space can be considered as a generalization of the Lebesgue spaces. Morrey spaces were then generalized become the generalized Morrey spaces, the weighted Morrey spaces, and the generalized weighted Morrey spaces. One of the studies on Morrey spaces is the boundedness of certain operators on the spaces. One of the operators is the fractional integral. The boundedness of fractional integrals on the classical Morrey spaces, the weighted Morrey spaces, the generalized Morrey spaces, and the generalized weighted Morrey spaces had been known. One of the extensions of fractional integrals is generalized fractional integral. The operator was bounded on the generalized Morrey spaces. The purpose of this study is to investigate the boundedness of generalized fractional integrals on the generalized weighted Morrey spaces. The weight used is Muckenhoupt class. The results obtained show that the generalized fractional integral is bounded from generalized weighted Morrey space to another generalized weighted Morrey space under some assumptions. The main result obtained then implies the boundedness of the generalized fractional maximal operator on generalized weighted Morrey spaces under the same assumptions.
Penyelesaian Persamaan Panas Dimensi Satu dengan Metode Beda Hingga Skema Eksplisit Sanusi, Wahidah; Pratama, Muhammad Isbar; Side, Syafruddin; Fitriyani
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

This research is a pure research in the form of a theoretical study that aims to determine the solution of the one-dimensional heat equation using the finite difference method explicit scheme and to know the simulation of the one-dimensional heat equation. The explicit schema finite difference method is an alternative method used to solve partial differential equations. The first step in this research is to build and analyze the one-dimensional heat equation. Next, discretize the one-dimensional heat equation by usingnumerical derivatives. Then solve the one-dimensional heat equation using an explicit schema. Finally, using the Matlab program to simulate the solution of the one-dimensional heat equation. The simulation results show that there is a change in temperature from a high temperature to a lower temperature which is influenced by time due to the heat transfer process.
Identifikasi Sebaran Karakteristik Kriminal di Indonesia Tahun 2021 Menggunakan Model-Based Clustering Chrisinta, Debora; Gelu, Leonard Peter; Baso, Budiman
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

Crime is an aspect that affects the smooth running of the economy in society. The importance of the government's role in minimizing the occurrence of crime can be done by knowing the distribution of criminal characteristics in each province. The Model-Based Clustering method can help identify these characteristics. The Clustering process is carried out by ensuring that the distribution of variables is close to the normal distribution as seen from the QQplot and the independence of variable. The results of the Clustering show that there are two characteristics of criminality that are spread across the province of Indonesia. Identify the characteristics of the distribution of crime using the average value in each of the optimal clusters that have been obtained. The first cluster shows the distribution of 16 provinces with lower crime categories, while the second cluster shows the distribution of 18 provinces with high crime categories.
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.
Autokorelasi Pada Pembentukan Grafik Kendali Komponen Utama Rasyid, Nur Ahniyanti; Wijaya, Dhian Eka; Firmayasari, Dian; Harianto; Pratama, Muhammad Isbar
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

The formation of control chart for autocorrelated data can not be done. This research aims to analyse the effect of autocorrelated data on the formation of principal component control chart. A case study was performed on simulated data with two variables and they were applied on the data of climate elements in Makassar city including air temperature, solar radiation, air humadity,and wind speed. The analysis of the effect of the autocorrelated data was conducted inthree steps, namely: (1) the establishment of the structure of variance-covariance matrix of the autocorrelated data; (2) the establishment of principal component control chart based on the largest eigen valu; and (3) In forming of simulation with two variables. The result indicate that if the data are negatively autocorrelated with avalue of -0,9-(-0,5), the controllimits will be widened, and if the value is -0,5-(-0,1), the control limits will be narrowed.
Peramalan Jumlah Kedatangan Wisatawan Mancanegara di Sulawesi Selatan Menggunakan Model ARFIMA Sukarna; Abdy, Muhammad; Aswi; Kaito, Nurlaila
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

Tourism is a potential and strategic asset to encourage the development of a region, especially for areas that have potential tourist objects. Exchange rates, inflation, and geography influence foreign tourist visits to an area. What may be unexpected is the increase in the number of tourists, which makes tourist workers have difficulties in providing the best services, and vice versa if there is a sudden drop, it will increase the number of unemployed. Therefore, we need a scientific study of forecasting that can provide information on the number of tourists. The ARFIMA model is an ARIMA whose differencing value is a fraction. The main goal of this research is to discover the best ARFIMA model to predict the number of foreign tourist arrivals in South Sulawesi. From the data of foreign tourists in South Sulawesi from 2015 to 2020, the result of this research is the AIC value of 710.44 for ARFIMA([1,8],d,0) with. The average difference between the actual and forecasted data in the out sample data for the two models is 38.6667 points. Therefore, the two models can still be classified as the best for forecasting foreign tourists from South Sulawesi. It depends on who applied this models into this cases.
Analisis Survival terhadap Kekambuhan Pasien Penderita Asma menggunakan Pendekatan Counting Process: (Studi Kasus: Balai Besar Kesehatan Paru Masyarakat Makassar) Abdy, Muhammad; Sanusi, Wahidah; Aulia, Hikma
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

Survival analysis or survival analysis is a set of statistical procedures to analyze data with the time until a particular event occurs as a response variable. Observe events such as death and recurrence of the disease. Survival analysis used for recurring data is the counting process approach for identic and stratified cox recursion events for non-identical recursion events. An example of identic recursion data is patient recurrence data of non-communicable diseases such as asthma. The type of research carried out is applied research with a quantitative approach, namely by taking or collecting the necessary data and analyzing it using the counting process approach method. The counting process approach method is a specific method used for identical reccuring event, each recurring event will be counted as a new and independent event. The variables used in the study were Time, Status, Gender, Age, Smoker, Allergies, Obesity, and Atopic History. Based on the results of this study, it was found that the factors of gender, age, and atopic history had an effect on the recurrence of asthmatic patients with a significance level of less than 10%.
Solusi Persamaan Difusi Adveksi Dengan Metode Pemisahan Variabel Ihsan, Hisyam; Rustam, Ilmi Nurfaizah
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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This research is pure research in the form of a theoretical study of the solution of advection-diffusion using separation of variable method. The purpose of this study was to determine the derivation of the advection-diffusion equation, find a solution to the advection-diffusion equation using the separation of variable method and perform simulations. Solutions of the equation using Matlab Software. The Advection Diffusion Equation is obtained from the derivation by Fick's Law. The solution of the advection-diffusion equation is by applying the separation of variable method, determining boundary conditions, separating variables, obtaining general solutions, and obtaining special solutions. Where the specific solution will be simulated.
Penerapan K-Means Clustering dalam Pengelompokan Data (Studi Kasus Profil Mahasiswa Matematika FMIPA UNM) Zaki, Ahmad; Irwan; Sembe, Imanuel Agung
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

This research is an applied research that aims to find out the clusters that exist in students of the Mathematics Department of FMIPA UNM using K-Means Clustering. This research method is a literature study. The results of the study obtained 4 clusters where the duration of independent learning and GPA from highest to lowest were Cluster 1, Cluster 2, Cluster 4, and Cluster 3. Cluster 1 was dominated by SBMPTN students, Semester 3, average age 19.20 years, duration of self-study 2.49 hours, 23.97 credits, 3.69 IPS, and 3.67 GPA. Cluster 2 is dominated by SBMPTN students, Semester 1, average age 18.08 years, duration of independent study 2.07 hours, 22 credits, 3.64 IPS and GPA 3.63. Cluster 4 is dominated by MANDIRI students, Semester 5, average age 19.78 years, duration of independent study 1.89 hours, 21.62 credits, 3.48 IPS, and 3.36 GPA. Cluster 3 is dominated by SBMPTN and SNMPTN students together, Semester 3, average age 18.52 years, duration of independent study 1.29 hours, 21.87 credits, 3.13 IPS, and GPA 3.19. The most influential variables in the formation of clusters are Semester, Number of Credits, GPA, Age, Social Studies, Average Duration of Independent Study, and Entry Path
Pemodelan Spasial Bayesian dalam Menentukan Faktor yang Mempengaruhi Kejadian Stunting di Provinsi Sulawesi Selatan Aswi, Aswi; Sukarna, Sukarna
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

Indonesia is a country with a high prevalence of stunting. One of the provinces in Indonesia that has a fairly high number of stunting cases is South Sulawesi Province. Research on stunting cases and their causes has been done. However, these researches have not implemented the Bayesian Spatial Conditional Autoregressive (CAR) model. This study aims to determine the factors that influence the incidence of stunting in South Sulawesi Province by implementing various Bayesian spatial CAR Leroux models with and without covariates included in the model. The results showed that the best model for modeling stunting cases in South Sulawesi Province in 2020 is the Bayesian spatial CAR Leroux model with hyperprior Inverse-Gamma IG (0.5;0.0005) by including the covariates of the percentage of poverty and the percentage of children under five 0-59 months of malnutrition. The percentage of poverty and the percentage of children under five 0-59 months of malnutrition have a positive effect on the incidence of stunting. The higher the percentage of poverty and the percentage of children aged 0-59 months with malnutrition in an area, the higher the risk of stunting in that area. 50% of districts/cities in South Sulawesi Province are in the high-risk category of stunting. Parepare City is the city with the highest Relative Risk (RR) value for stunting, followed by Toraja and Enrekang Regencies. On the other hand, Wajo Regency is the district with the lowest RR, followed by Luwu Timur and Bone Regencies.

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