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Jurnal Diferensial
Published by Universitas Nusa Cendana
ISSN : -     EISSN : 27759644     DOI : -
Core Subject : Economy, Health, Science, Education,
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Public Health
Jurnal Diferensial adalah jurnal sains yang bertujuan untuk menyebarluaskan hasil riset-riset ataupun kajian pustaka pada bidang ilmu matematika dan terapannya. Artikel-artikel pada jurnal ini difokuskan kepada bidang ilmu matematika dan terapannya. Ruang lingkup atau bidang ilmu yang diterima dijurnal ini (tetapi tidak terbatas pada) adalah Analisis, Aljabar, Teori Graf, Optimisasi, Riset Operasi, Statistik, Biomatematika.
Arjuna Subject : Matematika - Matematika Terapan
Articles 83 Documents
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STUDENT GRADUATION PREDICTION USING DECISION TREE METHOD WITH C4.5 ALGORITHM Sarbaini, Sarbaini; Ulfa, Fara
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12287

Abstract

One of the determinants of the quality of higher education is the percentage of student’s ability to complete their studies on time. However, in practice, few students can complete their studies in higher education on time. Graduation prediction is one of the things that can be done to increase student graduation so that early prevention or handling of students who have the opportunity to not graduate on time can be done. The aim of this research is to find out and analyze the use of the Decision Tree Method with the application of the C4.5 Algorithm to effectively predict student graduation on time. The data used is that of Mathematics students at UIN SUSKA RIAU's Faculty of Science and Technology. The decision tree was constructed using 150 training data and processed using the C4.5 algorithm to generate 40 rules, which were then tested using 150 data sets with an accuracy of 78.6667 percent and an AUC of 0.8363.
ON THE NUMERICAL SIMULATION OF THE EFFECT OF DISEASE TRANSMISSION COEFFICIENT ON SEIR EPIDEMIC MODEL USING HYBRID BLOCK METHOD Kolawole, Mutairu
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12293

Abstract

This work contains the study, analysis, and solution of a SEIR epidemic model. An effective hybrid block method was used in the solution of the system of linear differential equations to investigate the effect of transmission coefficient on the SEIR model with a permanent immunity. Numerical simulation of the included control parameters are carried out. The obtained results and outcomes are presented graphically.
IMPLEMENTATION OF PARTITIONING AROUND METHOD (PAM) IN IDENTIFYING THE CHARACTERISTICS OF NTT PROVINCE'S GNP Chrisinta, Debora; Simarmata, Justin Eduardo
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12465

Abstract

For the aspect of economic growth in NTT Province, it is necessary to understand regional characteristics in order to know the potential of each region. The aims of this study were to found the potential of regions in NTT that can increase the rate of economic growth by applying \textit{cluster} analysis, namely the Partitioning Around Method (PAM). The data used is based on data from BPS with variables of GDP, Labor Force, Unemployment, Average Length of Schooling and Investment in 2022. The results showed that optimal \textit{clusters} were obtained as many as 2 groups. \textit{Cluster} 2 shows a larger average value than \textit{cluster} 1. This means that districts/cities that tend to have higher GDP potential as well as labor force, unemployment, average length of schooling and investment are contained in \textit{cluster} 2. Meanwhile, districts/cities in \textit{cluster} 1 show a lower average.
DIMENSI METRIK CAMPURAN PADA GRAF DOUBLE FAN Rahmadi, Deddy
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12526

Abstract

Let G=(V(G),E(G)) be a simple connected graph. A vertex x∈ V(G) resolves the elements u,v∈ V(G)∪ E(G if d(x,u)≠ d(x,v). The mixed metric dimension, has been recently introduced. The mixed metric dimension (mdim(G)) of a graph G is the cardinality of a smallest set of vertices that resolves each pair of elements from V(G)∪ E(G). In this paper, we will identify the mixed metric dimension on double fan graph.
PENENTUAN METODE DEFUZZIFIKASI TERBAIK FUZZY INFERENCE SYSTEM MAMDANI DALAM DIAGNOSA PRE-EKLAMPSIA PADA IBU HAMIL Teti, Desriyani Yulianita Br. Kolo; Mada, Grandianus Seda; Dethan, Nugraha K. F.; Obe, Leonardus Frengky
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12680

Abstract

Pre-eclampsia is the second of the three major causes of death in pregnant women after bleeding followed by infection. Pre-eclampsia is a disorder of unknown etiology specifically in pregnant women. To prevent pre-eclampsia from becoming increasingly severely diagnosed systems that can be used for pre-eclampsia premises syconome. One method that can be used to determine the pre-eclampsia diagnosis is the Fuzzy Inference System (FIS) Mamdani this method is based on the concept of fuzzy logic. The process of determining the final decision by this method has several stages, the application of implications, rules, and defuzzification composition. For defuzzification stages, there are four methods that can be used the method Centroid, Bisector, Mean of Maximum (MOM), Smallest of Maximum (SOM), and Largest of Maximum (LOM). This study aims to determine the diagnosis of pre-eclampsia (pregnancy poisoning) in pregnant women based on FIS Mamdani by previously determining the best FIS Mamdani defuzzification method. In determining the best defuzzification method, the measures Mean Absolute Percentage Error (MAPE), Mean Absolute Error (MAE), Mean Square Error (MSE), and Sum Square Error (SSE) are used. Based on the results of the prediction error comparison, the best defuzzification method to diagnose the pre-eclampsia status in Atambua Hospital is a bisector method with an accuracy of 95,48%.
BILANGAN KROMATIK GRACEFUL PADA KELUARGA GRAF SENTRIPETAL Lestari, Deninta Dwi Ayu; Kristiana, Arika Indah; Prihandini, Rafiantika Megahnia; Alfarisi, Ridho; Setiawan, Toto Bara; Adawiyah, Robiatul
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12746

Abstract

One of the topics studied in graphs is graph coloring. The definition of a graceful coloring, namely $k$-elegant coloring of a graph G is the exact vertex coloring c:V(G)→{ 1,2,...,k} where k≥2 induces the exact vertex coloring c^': V(G)→ {1,2,...,k-1} which is defined by c(uv)=|c(u)-c(v)|. The exact vertex coloring c of a graph G is a graceful coloring if c is a k-elegant coloring for k∈N. The graceful chromatic number is the minimum k value where graph G has k-elegant coloring, the elegant chromatic number of graph G is denoted by X_g (G). This article will discuss graceful chromatic numbers in the centripetal graph family which includes octopus graph (O_n), sandat graph (St_n),dutch windmill graph (D_3^m) , and a volcano graph (V_n).
Solution of Direct and Inverse Dynamic Problem for the Previously Disturbed Dynamical Systems Voliansky, Roman
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.12759

Abstract

The paper deals with developing backgrounds to study and design the controllers for a wide class of dynamical systems that can be found in various branches of human life. We offer to use the known approach based on the solution of direct and inverse dynamic problems. This approach us to define system motions by external signals that are given to it as well as define these signals by known motion trajectories. Since the used approach operates with the transfer functions apparatus we offer to generalize these functions by taking into account the system's non-zero initial state while performing the Laplace-Carson's transformation. Such an approach gives us the possibility to consider the generalized transfer function as some matrix differential operator that defines free and perturbed system motions. We study this operator in our paper and show the patterns of its determination and implementation. Our study allows us to supplement the definition of direct and inverse dynamic problems and consider the last one as the problem with several solutions that define the control signal, external efforts, and initial conditions. We use them to define the generalized direct and inverse transfer functions.
ANALISIS EFEKTIVITAS MODEL GEOGRAPHICALLY WEIGHTED QUANTILE REGRESSION (GWQR) DALAM PENANGANAN OUTLIER: DATA SIMULASI TERIDENTIFIKASI HETEROGENITAS SPASIAL Buan, Febrya Christin Handayani; Banunaek, Zofar Agluis; Reza, Widya
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12782

Abstract

Classical quantile regression is global generalized parameter estimation results, spatial heterogeneity conditions cannot be captured by this model. The use of local models with spatial attribute can accommodate the characteristics between observation locations. The local quantile regression model is called the Geographically Weighted Quantile Regression (GWQR) model. Further testing of the effectiveness of this model is required by utilizing simulation data. This study uses simulated data generated with sample sizes uniformly distributed with intervals (0,1) contaminated with 5%, 10%, 15% outliers, with predictor variables (x=4) (β1,β2,β3,β4), and quantile sizes of 0.05, 0.25, 0.50, 0.75 and 0.95. Model effectiveness is measured based on Root Mean Square Error (RMSE). From the test, GWQR model can overcome the problem of outliers in simulated data up to the amount of outlier contamination of 15%, and spatial heterogeneity. The RMSE value is getting closer to 0 as the sample size and outliers increase. The test results explain that the 0.95 quantile produces the best parameter estimates compared to other quantiles.
Coupled Effects of Magnetohydrodynamics and Nanoparticles on Nonlinear Stretching Wedge Flow with Multiple Slips and Non-Uniform Heating akinrimade, Victor Adetayo; Kolawole, Mutairu Kayode
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.13188

Abstract

This study investigates the complex interplay between magnetohydrodynamics (MHD), nanoparticle behavior, and fluid flow characteristics in the context of a nonlinear stretching wedge with multiple slips and non-uniform heating. The flow is driven by a water-based fluid containing nano-sized particles of aluminum oxide and copper $\left( Al_2O_3-Cu/H_2O\right)$ . The governing equations of the problem are derived and then solved using appropriate numerical techniques. The effects of various parameters such as the magnetic field strength, nanoparticle volume fraction, wedge angle, slip parameters, and non-uniform heat source are thoroughly analyzed. Results reveal significant alterations in the flow behavior due to the presence of nanoparticles and the applied magnetic field. The interaction between the fluid flow and magnetic field induces a substantial change in velocity and temperature distributions along the wedge surface. Moreover, the slip effects and non-uniform heat source further modify the flow characteristics. This investigation provides valuable insights into the coupled effects of MHD, nanoparticles, and slip conditions on the flow dynamics and thermal behavior in nonlinear stretching wedge configurations. Such insights are crucial for understanding and optimizing processes involving fluid flow and heat transfer in engineering applications, particularly those utilizing nano-fluids and magnetic fields.
Dynamics of COVID-19 Incorporating Preventive Measures and Treatment Arierhie, Eirene O; Akponana, Eloho B; Egbune, Ngozika J; Okedoye, Akindele Michael
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.15346

Abstract

The surge of Coronavirus disease (COVID-19) was felt all over the world greatly after it was declared a pandemic in the year 2020. After 3 years in 2023, the disease passed the pandemic phaseand entered an endemic phase. But that didn’t reduce the global threat of the disease as the disease continues to still claim lives daily. In this work, we examined the dynamics of the coronavirusdisease from a mathematical view using a deterministic SEIAISQVRIP LP model. This consists ofinvestigating the disease-free and endemic equilibria, basic reproduction number and stability. Thelocal stability of the disease-free equilibrium was determined by solving the Jacobian matrix of thesystem of the system of differential equations while the basic reproduction number was calculatedusing the next generation matrix method. Numerical simulations to determine the active factor(s) inthe transmission, preventive and possible elimination of the disease were carried out using a computational software called Maple. It was revealed that over time when all modalities are out into place the rate of recovery increases and as the rate of the pathogen virus death increases, the pathogen virus gradually fades from the environment.

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