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Department of Mathematics Building C - Faculty of Mathematics and Natural Sciences Universitas Syiah Kuala Jl. Syech Abdurrauf - Kopelma Darussalam Kecamatan Syiah Kuala Banda Aceh, 23111 - Indonesia
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Transcendent Journal of Mathematics and Applications
Published by Universitas Syiah Kuala
ISSN : -     EISSN : 29641845     DOI : -
Core Subject : Economy, Science, Education, Social,
Computer Science & IT Economics, Econometrics & Finance Environmental Science Mathematics Physics
Transcendent Journal of Mathematics and Applications has the scope of mathematics and applications of mathematics, but does not rule out other fields. The scope are Mathematics (Algebra, Discrete Mathematics, Number Theory, Geometry, Graph Theory, Analysis, and Differential Equations) and its Applications (Physical Modeling, Disease Modeling, Social Modeling, Optimal Control and Control Systems, Engineering Mathematics, Economics and Business Mathematics, Ethnomathematics, Statistics, Informatics, Data Analysis, and Education).
Arjuna Subject : Matematika - Matematika Terapan
Articles 37 Documents
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Solusi Numerik Persamaan Good Boussinesq Menggunakan Metode Garis Lubis, Yunika Zultira; Arif, Salmawaty; Saputra, T. Murdani
Transcendent Journal of Mathematics and Applications Vol 3, No 2 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i2.42653

Abstract

The Good Boussinesq equation is a hyperbolic partial differential equation, for which the analytical solution is generally difficult to determine thus necessitating a numerical approach. This study aims to obtain the numerical solution of the Good Boussinesq equation using the method of Lines and to calculate the accuracy of this method in solving the equation. Numerical simulation were also conducted to compare the numerical solution with the analytical solution in the form of a single soliton. Subsequently, a numerical simulation was performed to compare the numerical solution with the analytical solution in the form of a single soliton. The simulation conducted for a single soliton as an analytical solution demonstrates that the numerical solution closely approximates the analytical solution, as indicated by the nearly identical shapes and positions of the resulting wave. This is also indicated by the relatively small Root Mean Square Error (RMSE) of 1.89E-03, which shows that the Method of Lines is quite effective in solving the numerical solution of the Good Boussinesq equation based on the calculation of squared errors.
Kontrol Optimal pada Penyebaran Penyakit Campak Model SIR Samosir, Restika; Sihombing, Yosina Arni; Sumardi, Sitti Rosnafian; Hisyam, Muhammad
Transcendent Journal of Mathematics and Applications Vol 3, No 2 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i2.42161

Abstract

The SIR model is a model used to group populations into 3 parts, namely susceptible or a subpopulation of individuals who are susceptible to disease, infected or a subpopulation of individuals who are infected and can transmit the disease and recovered or a subpopulation of individuals who have recovered from the disease. Measles is usually treated without a vaccine, so the disease is often found in the community. Giving the right and balanced vaccine will get results that are balanced with what is given. In this research, we develop a SIR model with additional controls. Where the control in this model is vaccination given to subpopulations S and I, so that the recovered subpopulation experiences an increase, because the number of subpopulation I decreases. The method used in this research consists of several steps, namely forming a SIR model which is formed in optimal control and determining the objective function. Next, solve the optimal control problem, which consists of several stages, namely forming the Hamiltonian function and finding states and co-states. Based on the research results, it is concluded that optimal control of the SIR model is obtained by state and co-state equations. Where this model is the result of reducing the Hamiltonian to obtain optimal control in the SIR model.
Analisis Efisiensi Proses Penentuan Harga Perkiraan Sendiri menggunakan Teori Antrian pada PTPN I Regional 7 Azzahra, Iqlima Dita; Arfi, Eristia
Transcendent Journal of Mathematics and Applications Vol 3, No 2 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i2.41205

Abstract

This study aims to analyze the efficiency of the process for determining the Estimated Own Cost (HPS) by considering the number of incoming HPS packages and the average time taken to calculate HPS. The method used in this research is queueing theory with a FIFO (First In, First Out) queue discipline and a Multi-Channel Single-Phase (M/M/S) queueing model, utilizing historical data of incoming HPS packages from February to July 2024. The results of the analysis show that the queueing system at the HPS Subdivision of PTPN I Regional 7 has a utility factor of 2.198, indicating that the queueing system is overloaded. A utility rate greater than 1 signifies that the queueing system is not operating efficiently. This provides critical insights for PTPN I Regional 7 in designing more efficient HPS determination strategies based on the profile and needs of each work unit.
Penerapan Teorema Residu Cauchy dalam Integral Tak Wajar Hanim, Safiatun; Murida, Eva; Ramadhani, Rizka Aulia; Yuni, Syarifah Meurah; Syahrini, Intan
Transcendent Journal of Mathematics and Applications Vol 3, No 2 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i2.39119

Abstract

This article discusses the application of Cauchy's Residue Theorem to improper integrals of real functions. The theorem states that the integral along a simple closed contour is equal to 2i times the sum of the residues of the function at single points located inside the contour. Furthermore, the article describes various methods for determining the residues, including the use of Laurent series and Taylor series. In addition, Jordan's lemma is also referenced in this article. Cauchy's Residue Theorem on improper integrals can be employed to resolve integrals that are challenging to compute using traditional real analysis methods. By identifying the residue of the integral at a singularity within a closed contour, the integral along the contour can be evaluated. The application of the residue theorem to improper integrals can be expressed in a specific form to facilitate calculation. This method offers several advantages over conventional methods. Some of the sources consulted in the preparation of this article include the following publications: Complex Analysis, Residue Theorem and Its Applications, and Calculus Applications in Physics Lectures.
Decision Support System Using the Application of Tahani Model Fuzzy Logic Rahima, Rahima; Radhiah, Radhiah; Mahmudi, Mahmudi
Transcendent Journal of Mathematics and Applications Vol 3, No 1 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.40343

Abstract

The fuzzy logic of The Tahani model is described as a model used to process data searches, only that this model is based on operations in fuzzy set theory to obtain information that matches its data search criteria. In this study, the fuzzy logic of the Tahani model was applied to help the company PT. Lambarona Sakti in terms of determining recommendations for reordering Honda motorcycles with linguistic criteria against vehicle data that has definite characteristics. The determination of the recommendation of the vehicle to be rebooked from the main dealer is carried out by first doing the fuzzification stage, then determining the degree of membership, then a data search will be carried out based on the desired criteria, the final stage is determined recommendation based on the resulting fire strength value. How the determination of the fire strength value works can be done using the help of the Microsoft Excel application and automatically the results will be in accordance with the filling of the membership degree that has previously been done. 2 possible recommendations were obtained, namely there are recommendation results with all types of Honda motorcycles to be reordered and there are recommendation results with only a few types of Honda motorcycles to be reordered.
Prediction of the Population of Banda Aceh City Using the Laplace Transformation Syafira, Nurul; Murida, Eva; Hanim, Safiatun; Yuni, Syarifah Meurah; Amri, Saiful; Hafnani, Hafnani; Nurmaulidar, Nurmaulidar
Transcendent Journal of Mathematics and Applications Vol 3, No 1 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.38764

Abstract

Population prediction is an estimate of the population in the future based on assumptions from the population growth rate. Based on data from the Central Statistics Agency (BPS), the population in Banda Aceh City is increasing every year with an average growth of around 2%. The purpose of this research is to predict the population in Banda Aceh City using the Laplace transformation on exponential model. The exponential model is a simple model to describe population growth patterns. Using Laplace transformation can easily get a difinitive analytic solution. The Laplace transformation of the exponential model is used to calculate the growth rate with data on the population of Banda Aceh City in 2015-2022. Based on the results of the study, the value of the growth rate (r) is obtained from determining the precentage error (MAPE) of each model to determine the predicted value that is closest to the actual value. So, model VII is the most accurate with a value (r) is 0,00412. The result of this study also show that model VII is used to predict the population in Banda Aceh City in 2030 when is 266.259 people.
Cox Proportional Hazard Regression Model in Analysis of Factors Affecting Survival Time (Case Study: Lung Cancer Patients at RSUDZA Aceh) Zakiah, Siti; Ramadhani, Evi; Safitri, Rini
Transcendent Journal of Mathematics and Applications Vol 3, No 1 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.38761

Abstract

Lung cancer is a significant global health challenge, including in Indonesia and especially in Aceh. This study uses survival analysis with a Cox proportional hazards regression model which aims to identify factors that influence the survival time of lung cancer inpatients at RSUDZA Aceh for the period January to December 2022. The results of the Cox proportional hazards regression model show that the factors are significant affecting survival time are chemotherapy and the type of cancer. Based on the hazard ratio value, it is known that patients who do not undergo chemotherapy have a two times higher risk of death compared to patients who undergo chemotherapy. In addition, patients with squamous cell carcinoma have a 0.5 times lower risk of death compared to patients who have adenocarcinoma.
Application of the ARIMAX Model in Assessing the Impact of Global Stock Price Index on Forecasting Indonesia's IHSG Marzuki, Marzuki; Riswanda, Muhammad; Nurhasanah, Nurhasanah; Rusyana, Asep
Transcendent Journal of Mathematics and Applications Vol 3, No 1 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.38775

Abstract

Time series analysis can be classified into two parts when viewed based on the analysis data variables, namely univariate and multivariate time series analysis. The ARIMAX model is the development of the ARIMA model. The ARIMAX model is a multivariate time series analysis method consisting of exogenous and endogenous variables. This study aims to forecast the Composite Stock Price Index (IHSG) using the ARIMAX model, by looking at the influence of global stock price indices, namely the American stock price index (DJIA), Japanese stock price index (N225), and Chinese stock price index (SSEC). The results of the study show that the model used to forecast the 2019 IHSG is the ARIMAX model (4,1,4). The results of the 2019 IHSG forecast produce fluctuating data. The highest IHSG share price of 6,958.419 occurred in November, while the lowest share price of 6.591.566 occurred in January. Forecast accuracy measured using RMSE and MAPE obtained results of 144.5387 and 2.5121 respectively.
Implementasi Pengolahan Citra dan Machine Learning Untuk Klasifikiasi Jenis Penyakit Pada Daun Padi Najar, Abdul Mahatir; Abu, Maulidyani; Resnawati, Resnawati; Syahrullah, Syahrullah
Transcendent Journal of Mathematics and Applications Vol 3, No 1 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.38642

Abstract

Identification of diseases from images of plants is one of the interesting research areas in the agriculture field, for which machine learning concepts from the computer science field can be applied. This article presents a prototype system for the detection and classification of rice diseases based on images of infected rice plants. This prototype system was developed after detailed experimental analysis of various techniques used in image processing operations. We consider three rice plant diseases: Bacterial Leaf Blight, Blast, and Tungro. We used the Otsu method to remove the background. To enable accurate extraction of features, we combined Gabor and Sobel techniques. In the classification process, we used five machine learning techniques: Random Forest (RF), Support Vector Machine (SVM), Nave Bayes (NB), and Quadratic Discriminant Analysis (QDA). We empirically evaluated these methods, achieving 77%, 50%, 60%, and 37% accuracy, respectively.
Improved Particle Swarm Optimization in Nutrition Adjustment for Hypertension Patient Rosidha, Anisa Nur; Mardianto, Lutfi; Saputra, Ilham; Nasution, Achmad Suryadi
Transcendent Journal of Mathematics and Applications Vol 3, No 1 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.37791

Abstract

Hypertension is one of the biggest contributors to the death cause in the world. This disease arises due to an unhealthy lifestyle and improper diet. In order to fulfill proper nutrition for people with hypertension, the composition of food for people with this disease needs to be regulated to produce optimal results according to their needs with the Improved Particle Swarm Optimization (IPSO) algorithm. Data collection was carried out on 96 patients with 1000 particles, a maximum iteration of 1000 and acceleration coefficients , , serta . The results show that the best fitness is 6,284 determined by price Rp 28.000 and 14 different variety of food. Based on the tests, the IPSO algorithm is effective in optimizing the nutrition of food composition with an accuracy rate of more than 99%.

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