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Muh. Isbar Pratama
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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 210 Documents
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Model Matematika SIR Sebagai Solusi Kecanduan Penggunaan Media Sosial Side, Syafruddin; Sanusi, Wahidah; Rustan, Nur Khaerati
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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Abstract

This study aims to build the SIR (Susceptible - Infected - Recovered) model as a solution of social media addiction with the assumption that students who recover from addiction of social media because they have high selfcontrol. This model is divided into three classes: namely class of students who have potential to use social media, class of students who are addicted to social media, and class of students who have high selfcontrol. The data used are primary data that was obtained by distributing questionnaires to 145 students of mathematics departement FMIPA UNM class of 2017, 2018, and 2019. The simulation results of the SIR type model produce a basic reproduction number (R0) of 1.451136 which means that the number of students who are addicted to the use of social media will increase in a certain period of time.
Model Vector Autoregressive Exogenous dan Aplikasinya pada Curah Hujan Kota Makassar Sukarna; Wahidah Sanusi; Serly Diliyanti Restu Ningsih
Journal of Mathematics, Computations and Statistics Vol. 2 No. 02 (2019): Volume 02 Nomor 02 (Oktober 2019)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This type of research is applied research that aims to predict rainfall in Makassar city VARX model using. The model was developed from the VARX model VAR by adding exogenous factors that influence the precipitation like Sea Surface Temperature (SST) Nino 3.4, the Southern Oscillation Index (SOI), and Dipole Mode Index (DMI). Rainfall data used in this researrchis the monthly rainfall data in Makassar city from 1987-2016 year on three stations, namely Panaikang, Paotere, and Biring Romang as endogenous factors. This data is retrieved from the Great Hall the Meteorology, Climatology, and Geophysics Region IV Makassar. VARX model formation through several stages, namely : test stasioneritas, the determination of the optimal lag length, test causality, diagnostic models, the establishment of the model of forecasting and VARX. The result showed that the average peak rainfall in Makassar city occurred in March and then come down exponentially. In May the chance of occurrence of very little rain.The model obtained in this study deserves to be used to predict rainfall in the next period.Keywords: , , ,
Konsep Himpunan Fuzzy pada Paradoks Russel Muhammad Abdy; Awi Dassa; Sri Julia Nensi
Journal of Mathematics, Computations and Statistics Vol. 2 No. 02 (2019): Volume 02 Nomor 02 (Oktober 2019)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Fuzzy sets use the basis of fuzzy logic to declare an object to be a member with the degree ofmembership ( ), but fuzzy logic violates the law of binary logic so that the assumption arises that fuzzylogic has the same problem with paradox. But the true value of fuzzy logic depends on the degree ofmembership it has so that a conclusion can be drawn from the large membership ranks, while the paradoxof its value cannot be drawn any conclusions. The paradox is a form of ground criticism that aims toexpress and determine the inconsistencies or contradictions that result from several mental experiments inmathematics, one of the paradoxes that is well-known in critics of set theory is Russel's paradox. The paradoxical solution of Russell by using fuzzy set theory concepts is that the degreeof membership is 0.5 and is 0.5.
Pemodelan Matematika SEIR Penyebaran Penyakit Pneumonia pada Balita dengan Pengaruh Vaksinasi di Kota Makassar Syafruddin Side; Wahidah Sanusi; Nurul Aulia Bohari
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study aims to build a model of the spread of pneumonia in SEIR (Susceptible-Exposed-Infected-Recovered) toddlers, analyze the model, and determine the minimum proportion of vaccinations. The data used are data on the number of pneumonia sufferers in toddlers in Makassar City in 2019.The results obtained by the SEIR mathematical model of pneumonia in the form of ordinary differential equation systems; addiction free balance points and addiction balance points which are both stable; basic reproduction numbers for simulations without vaccination greater than 1, which means that the disease still exists in the population, while basic reproduction numbers for simulations with vasksination less than 1, which means the disease will disappear and not spread from the population.
Simulasi Numerik Model Matematika Arus Lalu Lintas Berbasis Fungsi Velositas Underwood Muh. Isbar Pratama; Dian Firmayasari; Nur Ahyaniyanti Rasyid; Harianto
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Abstract. Mathematical traffic flow model was first developed by Lighthill, Whitham and Richards in 1956, known as (LWR) model. In LWR model, velocity function was most important. In this paper, Underwood velocity function was used. Implicit finite difference method used to found the numerical solution of LWR model with Underwood velocity model. Convergence the implicit finite difference method proved using the Lax equivalence theorem. The numerical simulation of 10 km highway of single lane was performed for 1 hours using the implicit finite difference method based on artificially generated initial and boundary data. Numerical simulation performed with two different parameters. An experimental result for the stability condition of the numerical scheme was also presented. Density, velocity, and fluks for 1 hours was experimental result of numerical simulation.
Pemodelan Matematika SEIRS Pada Penyebaran Penyakit Malaria di Kabupaten Mimika Hisyam Ihsan; Syafruddin Side; Musdalifah Pagga
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research aims to build a model of the spread of malaria diseases type SEIRS (Susceptible-Exposed-Infected-Recovered-Susceptible) by adding treatment parameters (treatment) in the Exposed class and the assumption that humans who recover can be vulnerable to malaria again. This model is divided into four classes namely, vulnerable, infected but not yet active, infected, and cured. The data used are data on the number of malaria sufferers from the Mimika District Health Office in 2018. The mathematical model of the type SEIRS is used to determine the equilibrium point. Based on the simulation results of the SEIRS model, the basic reproduction number (R0) of 0.09 indicates that the spread of malaria does not cause others to contract malaria.Keywords: , , ,
Dual Reciprocity Boundary Element Method untuk Menyelesaikan Masalah Infiltrasi Stasioner pada Saluran Datar Periodik Megasari
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research discusses about the problem solving of steady infiltration problem from flat channel with Dual Reciprocity Boundary Element Method (DRBEM). The governing equation for this problem is Richard’s equation. Using Kirchhoff transformation and exponential hydraulic conductivity relation, Richard’s equation is transformed into steady infiltration equation in the form of MFP. Infiltration equation in the form of MFP is then transformed to modified Helmholtz equation. A mathematical model of steady infiltration from flat channel in the form of boundary condition problem of modified Helmholtz EQUATION. Numerical solution is obtained by solving modified Helmholtz equation by using Dual Reciprocity Boundary Element Method (DRBEM) with various number of exterior and interior collocation points. Moreover, numerical and analytic solution are then compared.
Jumlahan Langsung pada Ring Syafruddin Side; Muhammad Abdy; Annisa Uniarti
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research is literature study that aims to examine the basic consept of external direct sum of ring, internal direct sum of ring, and properties of direct sum of ring. The study starts from the definitioan of external direct sum and internal direct sum. The main literature used is a book written by B. Hartley and T.O. Hawkes (1970). The result obtained explain and elaborated on the definitons of external direct sum and internal direct sum of ring, theorems about properties of direct sum of ring that accommodate a theorem resulting from the representation of the properties of direct sum of S-Near Ring and direct sum of modules relating to external rirect sum and internal direct sum of ring.
Solusi Persamaan Schrodinger dengan Menggunakan Metode Transformasi Diferensial Muhammad Abdy; Hisyam Ihsan; Dhea Ayu Rossyana Dewi
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study discusses the solution of linear partial differential equations, namely Schrodinger equation. The solution of the equation is done by using the differential transformation method which is a semi-numerical-analytical method, it can be used to solve both ordinary differential equations and linear or nonlinear partial differential equations. Differential transformation method is a method uses the theory of rank expansion in the form of transformation to determine solutions. In this study, two initial values in the given Schrodinger equation were used. Solutions with both initial values given are obtained using the Maclaurin series expansion. Then, the solution is simulated using Maple18 software. As a result, the differential transformation method in this study is one method that is able to solve a solution to the Schrodinger equation.
Analisis Jalur dan Aplikasinya dalam Menentukan Faktor yang Mempengaruhi Derajat Kesehatan Balita di Sulawesi Selatan Wahida Sanusi; Sukarna; Elma Selviana Darwis
Journal of Mathematics, Computations and Statistics Vol. 3 No. 1 (2020): Volume 03 Nomor 01 (April 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study aims to apply path analysis and to determine how much the factors that influence the health status of children under five in South Sulawesi, both directly (direct effect) and indirectly (inderect effect). Analyze models and interpret the results. The data used is the data on the recapitulation of the health status of children under five in South Sulawesi Province in 2019. The variables used are the number of pregnant women 20-30 years (X1), the number of children under five who received full 6 months of breastfeeding from mothers who do not work (X2), in the womb (X3), babies who are affected by malnutrition in pregnant women aged 30-35 years (Y1), and babies who die in the womb (Y2). This study uses a two equation path model. This research starts from formulating structural model equations, calculating path coefficients simultaneously and partially, performing model simulations using SPSS 22 software, interpreting and concluding. The results of the study obtained two structural equation models; the significant level (α) for the simulation results is 5% or 0.05; explained that each sub-structure model tested simultaneously and partially had a positive and significant effect on the health status of children under five in South Sulawesi.Keywords: Path Analysis, two equation paths, direct effect, indirect effect

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