Journal of Mathematics Computations and Statistics最新文献

{"title":"Solusi Persamaan Panas Dimensi Satu dengan Metode Transformasi Laplace dan Transformasi Elzaki","authors":"A. Zaki, Rahmat Syam, Kristina Lubis","doi":"10.35580/jmathcos.v5i1.32283","DOIUrl":"https://doi.org/10.35580/jmathcos.v5i1.32283","url":null,"abstract":"<jats:p />","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114225585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pemodelan Kerusakan Beton akibat Hujan Asam Menggunakan Software MATLAB","authors":"Irma Aswani Ahmad, Nurlita Pertiwi, Nur Anny S Taufieq","doi":"10.35580/jmathcos.v5i1.34561","DOIUrl":"https://doi.org/10.35580/jmathcos.v5i1.34561","url":null,"abstract":"Beberapa kota di Indonesia menalam hujan dengan tingkat keasaman di bawah ambang normal. Hal ini menggambarkan bahwa air hujan tersebut masuk kategori hujan asam. Hujan asam mengakibatkan kerusakan tanaman, lingkungan air, penyakit pada manusia. Kerusakan ini pun terjadi pada bangunan konstruksi, menyebabkan beton dan tulangan keropos. Hal ini menyebabkan tingakt keawetan yang dikenal dengan durabilitas bangunan menurun. Tujuan penelitian ini adalah memprediksi penurunan durabilitas bangunan beton dengan membuat pemodelan menggunakan software Matlab. Penelitian ini adalah penelitian eksperimen, dengan benda uji berbentuk silinder dan balok. Variasi yang digunakan adalah campuran beton menggunakan material substitusi abu sekam padi sebesar 0%, 5% dan 10% dari berat semen. Pengujian yang dilakukan adalah uji tekan, uji lentur dan uji penyerapan air. Data ini dianalisis untuk membentuk suatu model durabilitas dengan bantuan software Matlab. Hasil penelitian ini menunjukkan bahwa hubungan antara variabel berbentuk hyperbolic paraboloidal dengan persamaan polynomial orde 2.Kata Kunci: Durabilitas, Beton, Polinomial, Hyperbolic Paraboloidal, Hujan Asam. Several cities in Indonesia experienced rain with acidity levels below the standard threshold. This condition illustrates that the rainwater is categorized as acid rain. Acid rain causes damage to crops, the aquatic environment, and human disease. This damage also occurred in construction buildings, causing porous concrete and reinforcement. This damage also occurs in construction buildings, causing the concrete and reinforcement to become porous, affecting the durability of the building. The purpose of this study is to predict the decrease in the durability of concrete buildings by making modeling using Matlab software. This research is experimental research with cylindrical and beam-shaped specimens. The variation used is a mixture of concrete using rice husk ash substituting 0%, 5%, and 10% by weight of cement. The tests carried out are compressive, flexural, and water absorption tests. This data was analyzed to form a durability model with the help of Matlab software. The results showed that the durability modeling was in the form of a hyperbolic paraboloidal with a second-order polynomial equation.Keywords: Durability, Concrete, Polynomial, Hyperbolic Paraboloidal, Acid Rain.","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129599992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pengelompokan Daerah Rawan Kriminalitas di Sulawesi Selatan Menggunakan Metode K-means Clustering","authors":"I. Irwan, Wahidah Sanusi, Febriyanto Saman","doi":"10.35580/jmathcos.v5i1.32719","DOIUrl":"https://doi.org/10.35580/jmathcos.v5i1.32719","url":null,"abstract":"Penelitian ini merupakan penelitian terapan yang menekankan cara melaksanakan analisis cluster secara matematis, mengetahui bagaimana aplikasi k-means clustering, dan ciri dari setiap kelompok daerah rawan kriminalitas. Adapun data simulasi yang digunakan pada penelitian ini adalah data yang diperoleh dari Badan Pusat Statistika (BPS) Propinsi Sulawesi Selatan. Data tersebut selanjutnya dianalisis dengan metode K-means clustering. Hasil penelitian menunjukan bahwa terdapat empat ciri dari tiap kelompok daerah rawan kriminalitas di Sulawesi Selatan. Kelompok 1 masuk kategori daerah yang cukup aman kriminalitas, Kelompok 2 masuk kategori daerah yang rawan kriminalitas, kelompok 3 masuk ketegori daerah yang aman kriminalitas,  dan kelompok 4 masuk kategori daerah yang cukup rawan kriminalitas. Kata Kunci: Analisis Cluster,K-means Clustering, KriminalitasThis 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.Keywords: Cluster Analysis, K-means Clustering, Crime.","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"217 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122335176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pengelompokan Provinsi Berdasarkan Kualitas Jaringan Internet Dengan Metode Centroid Linkage","authors":"Abdullah Ahmad Dzikrullah","doi":"10.35580/jmathcos.v5i1.32363","DOIUrl":"https://doi.org/10.35580/jmathcos.v5i1.32363","url":null,"abstract":"Internet pasca pandemi sekarang ini telah menunjukkan kekuatannya sebagai media akselerasi digital dan transformasi ekonomi. Internet yang berkualitas mutlak menjadi kebutuhan penting dalam menjalankan berbagai aktivitas. Pada kenyataanya, di Indonesia kualitas internet masih belum merata dan cenderung hanya bisa dinikmati beberapa daerah tertentu khususnya di Pulau Jawa dan Sumatera. Penelitian ini bertujuan untuk mengelompokkan 34 provinsi di Indonesia berdasarkan lima variabel yang menjadi faktor penentu kualitas jaringan internet agar nantinya dapat memetakan wilayah dari kualitas internet baik sampai yang kurang.Metode Centroid Linkage merupakan metode pengelompokan objek yang memiliki keunggulan pada penanganan data outlier. Hasil dari penelitian ini diperoleh empat kelompok provinsi dengan kelompok kualitas internet yang kurang berada pada Provinsi Papua dan Provinsi Papua Barat. Kontur dan topografi wilayah menjadi faktor alam dan kendala pemerintah dalam proses pemerataan internet berkualitas.","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127944588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Solusi Persamaan Adveksi-Difusi dengan Metode Dekomposisi Adomian Laplace","authors":"Muhammad Abdy, Maya Sari Wahyuni, Narisa Fahira Awaliyah","doi":"10.35580/jmathcos.v5i1.32249","DOIUrl":"https://doi.org/10.35580/jmathcos.v5i1.32249","url":null,"abstract":"Artikel ini membahas tentang solusi dari persamaan adveksi-difusi. Persamaan adveksi-difusi merupakan persamaan matematis yang didesain untuk mempelajari fenomena transpor polutan. Pada artikel ini, metode yang digunakan untuk menentukan solusi persamaan adveksi-difusi yaitu metode dekomposisi Adomian-Laplace. Metode dekomposisi Adomian Laplace adalah salah satu metode yang dapat digunakan untuk menyelesaikan persamaan diferensial yang mengkombinasikan metode transformasi Laplace dan metode dekomposisi Adomian. Solusi persamaan adveksi-difusi diperoleh dengan menerapkan tranformasi laplace pada persamaan adveksi-difusi, mensubtitusi syarat awal, menyatakan solusi dalam bentuk deret tak hingga, menentukan suku-sukunya, dan menerapkan invers transformasi Laplace pada suku-suku dari deret tak hingga tersebut. Hasil dari tulisan ini adalah solusi persamaan adveksi-difusi dapat diperoleh dengan metode dekomposisi Adomian Laplace.Kata Kunci: Persamaan Diferensial, Persamaan Adveksi-Difusi, Metode Dekomposisi Adomian Laplace.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 advection-diffusion 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.Keywords: Differential Equation, Advection-Diffusion Equation, Laplace Adomian Decomposition Method.","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128903300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Sifat Keherediteran Aljabar Lintasan dan Aljabar Lintasan Leavitt","authors":"Delsi Kariman, Junios Junios","doi":"10.35580/jmathcos.v5i1.34849","DOIUrl":"https://doi.org/10.35580/jmathcos.v5i1.34849","url":null,"abstract":"Makalah ini mengkaji dua topik yakni sifat keherediteran aljabar lintasan dan sifat keherediteran aljabar lintasan Leavitt.  Sifat herediter sangat berguna dalam mengkaji modul projektif atas aljabar.  Pada topik pertama diperoleh hasil bahwa aljabar lintasan bersifat herediter jika graf hingga, terhubung dan asiklik.  Pada topik kedua diperoleh hasil bahwa aljabar lintasan Leaviit bersifat herediter jika graf hingga.","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122911124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nilai Total Ketidakteraturan Sisi dan Titik pada Graf Berlian","authors":"Muh. Isbar Pratama","doi":"10.35580/jmathcos.v4i2.34509","DOIUrl":"https://doi.org/10.35580/jmathcos.v4i2.34509","url":null,"abstract":"<jats:p />","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133895389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pemetaan Kasus Tuberkulosis di Provinsi Sulawesi Selatan Tahun 2020 Menggunakan Model Bayesian Spasial BYM dan Leroux","authors":"A. Aswi, S. Sukarna, Nurhilaliyah","doi":"10.35580/jmathcos.v4i2.32755","DOIUrl":"https://doi.org/10.35580/jmathcos.v4i2.32755","url":null,"abstract":"Tuberkulosis (TBC) merupakan penyakit menular yang merupakan salah satu dari sepuluh penyebab utama kematian di dunia. Indonesia merupakan negara yang menempati urutan tertinggi kedua penderita TBC di dunia. Tujuan dari penelitian ini adalah untuk mengidentifikasi area dengan risiko relatif (RR) tinggi TBC maupun rendah dengan menggunakan model Bayesian spasial Conditional Autoregressive (CAR) Besag-York-Molliѐ (BYM) dan Leroux. Data kasus TBC di setiap 24 kabupaten/kota di provinsi Sulawesi Selatan tahun 2020 digunakan. Model terbaik dipilih berdasarkan tiga kriteria yaitu Deviance Information Criteria (DIC) dan Watanabe Akaike Information Criteria (WAIC). Dari hasil analisis, diperoleh bahwa model Bayesian Spasial CAR BYM dan CAR Leroux dengan hyperprior IG (0,5; 0,0005) merupakan model terbaik yang memiliki nilai RR yang sama. Kota Makassar merupakan wilayah dengan nilai RR tertinggi (1,70) yang mengindikasikan bahwa Kota Makassar memiliki risiko TBC 70% lebih tinggi dari rata-rata. Sebaliknya, Kabupaten Toraja memiliki risiko TBC terendah (0,43) yang menunjukkan bahwa Toraja memiliki risiko TBC 43% lebih rendah dari rata-rata.Kata Kunci: Tuberkulosis, Bayesian, spasial CAR, BYM, Leroux Tuberculosis (TB) is an infectious disease that is one of the ten leading causes of death in the world. Indonesia is a country with the second-highest number of TB sufferers in the world. This study aims to identify areas with a high and low relative risk (RR) of TB by using the Bayesian Spatial Conditional Autoregressive (CAR) Besag-York-Molliѐ (BYM) and Leroux models. TB case data in every 24 districts/cities in South Sulawesi province in 2020 is used. The best model was selected based on three criteria, namely Deviance Information Criteria (DIC) and Watanabe Akaike Information Criteria (WAIC). The results show that the Bayesian Spatial CAR BYM and CAR Leroux with hyperprior IG (0.5; 0.0005) are the best models that have the same RR value. Makassar City is the area with the highest RR value (1.70) which indicates that Makassar City has a TB risk 70% higher than the average. On the other hand, the Toraja district has the lowest TB risk (0.43) which indicates that Toraja has a TB risk 43% lower than the average.","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133251464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Model Matematika SEIR Pada Kanker Kulit Akibat Paparan Sinar Ultraviolet Di Provinsi Sulawesi Selatan","authors":"Syafruddin Side, A. Zaki, Norliana Rahmasari","doi":"10.35580/jmathcos.v4i2.24441","DOIUrl":"https://doi.org/10.35580/jmathcos.v4i2.24441","url":null,"abstract":"Penelitian ini bertujuan untuk membangun  model matematika SEIR pada kanker kulit akibat paparan sinar ultraviolet dengan asumsi bahwa terdapat masa inkubasi pada kanker kulit. Model ini dibagi menjadi 4 kelas yaitu susceptible, exposed, infected dan recovered. Adapun prosedur penelitian dilakukan melalui tahapan-tahapan: membuat model SEIR pada kanker kulit di provinsi Sulawesi Selatan, menentukan titik ekuilibrium model, analisis kestabilan titik ekuilibrium, menentukan bilangan reproduksi dasar ( ). Data yang digunakan dalam membangun model adalah penderita kanker kulit tahun 2018 hingga tahun 2019 dari Rumah Sakit Wahidin Sudirohusodo kota Makassar. Hasil yang diperoleh bahwa semakin besar persentase laju kesembuhan tiap individu yang terinfeksi karena adanya pengobatan mengakibatkan populasi pada kelas recovered semakin meningkat dan populasi pada kelas infected mengalami penurunan. Dengan kata lain penyakit kanker kulit tidak mewabah di Provinsi Sulawesi Selatan.Kata Kunci: Titik Equilibrium, Bilangan Reproduksi Dasar, Kanker Kulit, Model SEIRThis 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.Keywords: Equilibrium Point, Basic Reproductive Numbers, Skin Cancer, SEIR Model","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"19 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113965278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Solusi Persamaan Burgers Inviscid dengan Metode Pemisahan Variabel","authors":"Hisyam Ihsan, Syafruddin Side, M. Iqbal","doi":"10.35580/jmathcos.v4i2.24442","DOIUrl":"https://doi.org/10.35580/jmathcos.v4i2.24442","url":null,"abstract":"Penelitian ini mengkaji tentang solusi persamaan Burgers Inviscid dengan metode pemisahan variabel. Tujuan dari penelitian ini adalah untuk mengetahui penyederhanaan sistem persamaan Navier-Stokes menjadi persamaan Burgers Inviscid, menemukan solusi persamaan Burgers Inviscid dengan metode pemisahan variabel, dan melakukan simulasi solusi persamaan dengan menggunakan software Maple18. Persamaan Burgers muncul sebagai penyederhanaan model yang rumit dari sistem persamaan Navier-Stokes. Persamaan Burgers adalah persamaan diferensial parsial hukum konservasi dan merupakan masalah hiperbolik, yaitu representasi nonlinier paling sederhana dari persamaan Navier-Stokes. Metode pemisahan variabel merupakan salah satu metode klasik yang efektif digunakan dalam menyelesaikan persamaan diferensial parsial dengan mengasumsikan  untuk mendapatkan komponen x dan t. Kemudian akan dilakukan subtitusi pada persamaan diferensial, sehingga dengan cara ini akan didapatkan solusi persamaan diferensial parsial.Kata Kunci: Persamaan Burgers Inviscid, metode pemisahan variabel, persamaan Navier-StokesThis 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.Keywords: Burgers Inviscid Equation, variable separation method, Navier-Stokes equations.","PeriodicalId":363413,"journal":{"name":"Journal of Mathematics Computations and Statistics","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115848757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}