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Solusi Persamaan Laplace pada Koordinat Bola Ahmad Zaki; Syafruddin Side; Nurhaeda
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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This study examines Laplace equations on spherical coordinates and applies variable separation methods in determining Laplace equation solutions Laplace equations are one type of partial differential equation that is widely used to model problems in the field of science. The general form of the Laplace equation in the third dimension in which u is a scalar function using the separation method of the variable is obtained by the third dimension Laplace equation on spherical coordinates. The result of this research get solution of Laplace equation on spherical coordinate in the form of separate variable by not using boundary value. The relationship of cartesian coordinates and spherical coordinates to the Laplace equation can be determined in the Laplace equation and obtain solutions using spherical coordinates.
Analisis Kestabilan Penyebaran Penyakit Kolera Menggunakan Model SEIRS dengan Vaksinasi dan Faktor Treatment Syafruddin Side; Sukarna; Gita Tri Asfarina
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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In this study, the rate of vaccination and treatment than to see the effects on the spread of the disease. In this case, obtained the minimum vaccination and treatment level of the minimum needed for the disease can disappear from the population. For vaccination rates and treatment level above the minimum vaccination and minimum treatment, the greater the rate of vaccination and treatment levels cause the proportion of Susceptible individuals getting smaller, meaning that people with cholera gradually diminishing and the disease will disappear from the population and there is no endemic.
Penerapan Metode Dekomposisi Adomian Laplace Dalam Menentukan Solusi Persamaan Panas Muhammad Abdy; Syafruddin Side; Reza Arisandi
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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This study discusses the application of Adomian Laplace Decomposition Method (ALDM) in determining the solution of heat equation. Adomian Laplace Decomposition Method is a semi analytical method to solve nonlinear differential equations that combine Laplace transform and Adomian decomposition method. Based on the calculation result, Adomian Laplace decomposition method can approach the settlement of ordinary nonlinear differential equations.
Analisis Matematika Pada Pembuatan Rumah Panggung Toraja Syafruddin Side; Sukarna; Jusriadi
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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Geometry is branch of science that learning about the relationship between points, lines, sides , plane figure and solid figure. The application of geometry mathematics is very helpful in daily life. For example, the determination of tower height by using sunlight where in its determination can use the comparison system. Then, determine the distance or width of the river without measuring it manually, that is by using the help points and lines that are congruent. The aim of this research is finding out how the results of the application of mathematics in building Toraja Traditional house. The analysis process is done by observation, interview and documentation to see the process of building Toraja Traditional house. Based on the results of data analysis that is obtained, it was find the sequences pattern on the poles or beams in each type of house. Then the method of using parallel lines, lines extension and similarity on the roof of the house. Mathematics application can be applied in Toraja Traditional house by using parabolic equations and parabolic functions in determining the curvature of house roof.
Analisis Kekonvergenan pada Barisan Peubah Acak di Ruang Riil Side, Syafruddin; Sanusi, Wahidah; Nurdin, Nur Izzah
Journal of Mathematics, Computations and Statistics Vol. 6 No. 1 (2023): Volume 06 Nomor 01 (April 2023)
Publisher : Jurusan Matematika FMIPA UNM

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This research aims to identify and explain the concepts, asymptotic properties, relationships and applications of four types of convergence of a sequence of random variable, namely convergence almost surely, convergence in probability, convergence in distribution and convergence in mean. The results of the theoretical study shows that these four types of convergence, are closed to arithmetic operations, each subsequence is convergent to the same random variable, remains convergent in the continuous function,and has a relationship between each type, namely: (a) if the sequence of random variable convergent almost surely then this sequence convergent in probability and otherwise if the sequence has a subsequence that convergent almost surely to its limit, (b) if the sequence of random variable convergent in probability then this sequence convergent in distribution and otherwise if the limit is a real constant, (c) if the sequence of random variable convergent in mean then this sequence convergent in probability and otherwise if thesequence is bounded in probability and (d) there is no relationship between convergent in mean and convergent almost surely, and also can be used in proving the Law of Large Number, Central Limit Theorem and limit distribution.
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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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.
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)
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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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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.
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.
Pemodelan Penggunaan E-Money Pada E-Parking Kota Makassar Ihsan, Hisyam; Side, Syafruddin; Wulandari, Emi
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 study aims to build a model of the use of E-Money in E-Parking type SIRI (Susceptible - Infected - Recovered - Infected) in Makassar City. The added assumption is that people who have used E-Money can may return to cash payments on parking. This model is divided into three classes, namely vulnerable / potentially using parking, cash users, and E-Money users. The data used are primary data obtained by direct survey in the field. The survey was conducted by distributing questionnaires to 100 respondents randomly. The SIRI type mathematical model is used to determine the equilibrium point. The simulation results of the SIRI type model produce a base reproduction number (R0) of 0.021021 which means that the use of cash can decrease which causes the use of E-Money will increase in a certain period of time.
Co-Authors . Sulaiman . Sulaiman . Sutra . Sutra Abdul Kadir Abdul Kadir Abdul Rahman Ahmad Ali Ramli AHMAD FAUZAN RIDHA SUJIONO Ahmad Yani ahmad yani Ahmad Zaki Ahmad Zaki AHMAD ZAKI Ahmar, Ansari Saleh Aidid, Muhammad Kasim Aisyah Mukhlisah Araaf Aisyah Zahra Ramadhani Asya Akbar Aldri Frinaldi Alief Saputro Alimuddin Tampa Alvioni Bani Amal Arfan, Amal Amni Rasyidah Andi Gagah Palarungi Taufik Andi Muhammad Ridho Sainon Andi Pandjajangi Andi Muhammad Ridho SAP Andi Muhammad Ridho Yusuf Sainon Andi Pandjajangi Andi Muhammad Ridho Yusuf Sainon Andin P Angri Lismayani Annas, Suwardi Annisa Uniarti Annisa Uniarti Arifuddin R Arika Dwi Angraeni Rasida Arkas, Amaliah Nurul Armalinda Mohammad Adam Arsita, Asriani Asdar Astri Utari Aswi, Aswi Aulia, Hikma Bahar, Nur Qadri Baiq Nurkhalishah Beby Fitriani Bohari, Nurul Aulia Bohari, Nurul Aulia Citra Suci Said Damang, Dahnial Dian Pebriani Emi Wulandari Fajar Arwadi Fitrah Mallolongeng Fitriani Fitriani Fitriyani Fitriyani Fitriyani Gita Tri Asfarina Gita Tri Asfarina Hadrianty Ramli Hadrianty Ramly Haris Haris, Haris Hasri Hasri Hasri Hasri Hisyam Ihsan Husnul Khatimah Syam Ilham Minggi Imron AY, Muhamammad Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Ismail, Khusnul Ryana Tasya J, Jusriadi Ja'faruddin Jafaruddin a, Jafaruddin Jusman Jusman Kaito, Nurlaila Karwingsi, Ersa Katrina Pareallo Khadijah , Ummul Khairana, Nadiyah La Ode Salman Yassar Luthfiah Arradiah Mallolongeng, Fitrah Marfianti, Marfianti Meisy Tri Elsa Meisy Tri Elsa Miswar Mohd Salmi Md Noorani Mudinillah, Adam Muh Al Rasyid Ridho Muh. Rifki Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Arif Tiro, Muhammad Arif Muhammad Edy Rizal Muhammad Farhan Muhammad Iqbal Muhammad Irfan Muhammad Isbar Pratama Muhammad Nur Ilham Muhammad Rakib Muhammad Ridho Yusuf SAP Muhammad Rifandi Muhjria, Muhjria Muktamar, Muhammad Ilham Mulyaningrum, Dwidary Munadiya Yunadiya Musawira, Musawira Musdalifa Pagga Musdalifah Pagga Musfira, Musfira Musfira, Nur Fadillah Mustati'atul Waidah Maksum mutiara mutiara N. Nurhaeda Neldi Neldi, Neldi Nikmatullah Nur, Nikmatullah Nor Zila Abdul Hamid Nora Auliya Zahra Norliana Rahmasari Nur Fajri Setiawan Nur Izzah Nurdin Nur Khaerati Rustan Nur Qomariah Nurazizah Nurdin, Nur Izzah Nurhaeda Nurul Aulia Bohari Nurul Azizah Muzakir Nurul Fadhilah Syahrul Nurwahidah Sari Nurwijayanti Nusrang, Muhammad Padjalangi, Andi Muhammad Ridho Yusuf Sainon Andi Pagga, Musdalifa Palumpun, Feby Fristi Pandjajangi, Andi Muhammad Ridho Yusuf Sainon Andi Puspitasari Putri Kharina Mahathir Hulinggi Qudratullah Qudratullah Rahman, Muhammad Fatur Rahmasari, Norliana Rahmat Syam Rahmat Syam Raihana Nurfitrah Raihana Nurfitrah Ramadana, Yusuf Ramadhan, Nur Resky Ramadhani, Muthia Reza Arisandi Reza Arisandi Ridho, Andi Muhammad Rifki, Muh. Risma Risma, Risma Rosmini Maru Rudi Ruliana Rustan, Nur Khaerati S. Sartika Sahlan Sidjara Sahlan Sidjara Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf Sakina Putri Sahara Sanusi, Wahida SAP, Andi Muh. Ridho Yusuf SATRIYAS ILYAS Setiawan, Nur Fajri Sidjara, Sahlan Sopiyah Sri Indriani Sri Nur Qadri St. Nurhilmah Busrah Suciyanti, Nurafni Sudarmin - Suhartono Nurdin Sukarna Sukarna Sukarna Sulaiman - Sulaiman Sulaiman Supriadi Supriadi Supriadi Yusuf Suriyandi Suriyandi Sutriani Hidri, Sutriani Suwardi Annas Syahirah, Nurul Syahrana Syahrana Syana Nurul Utari Syarif Hidayat Syarif Hidayat Talib, Dr. Ahmad Usman Mulbar Wahidah Sanusi Wahidah Sanusi Wahyuni, Maya Sari Wahyuni, Maya Sari Waode Nurlaelah Wulandari, Emi Yanti, Nurul Castri Yulita Molliq Rangkuti Yusnalia Kadir Yusuf S.A.P., Andi Muh. Ridho Yusuf Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf SAP, Andi Muh. Ridho Yusuf SAP, Andi Muhammad Ridho Zahra, Nora Auliya Zakyah, Nur