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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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Implementasi Analytic Hierachy Process (AHP) Dalam Sistem Pengambilan Keputusan Pemilihan Metode Pembelajaran Riset Operasi Simarmata, Justin Eduardo; Chrisinta, Debora
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.10828

Abstract

An implementation of learning methods have to be adjusted for each course including Research Operation. This course relies on the process of critical thinking, problem solving and concept understanding. The selection of an appropriate learning methods is required to obtain an optimum learning outcome. An analysis of an appropriate learning methods can be done using Analytic Hierarchy Process (AHP). In this paper, AHP is applied to analyse and hence make decisions on appropriate earning methods for studying Operations Research course. The criteria used consist of effectiveness (K1), lecturer ability (K2), specialization (K3) and test scores (K4). While the alternatives used are the learning methods carried out, namely: Problem Based Learning (a1), drill and exercise (a2) and Blended Learning (a3). Based on the priority weight of each alternative, it is obtained that the Problem Based Learning learning method has advantages in effectiveness criteria, Drill and Exercise have advantages in student test score results and Blended Learning has advantages in the ability of lecturers. In calculating the overall weight, Problem Based Learning gives the highest weight among the Drill and Exercise learning methods and Blended Learning.
Model Generalized Poisson Regression (GPR) Pada Kasus Stunting Di Provinsi Nusa Tenggara Timur Lais, Maria Febriana; Atti, Astri; Pangaribuan, Rapmaida M; Guntur, Robertus Dole
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.11562

Abstract

Stunting is a child development disorder due to chronic malnutrition and recurrent infections characterized by a height below average. The purpose of this study was to determine the Generalized Poisson Regression (GPR) model in stunting cases in East Nusa Tenggara Province and the factors that influence the incidence these events in 2022. The Generalized Poisson Regression method has been implemented to analyse the problem of overdispersion in the data. Data from the Central Bureau of Statistics (BPS) of East Nusa Tenggara Province is used. The data consits of the number of stunting cases in toddlers (Y), Percentage of Low Weight Infants (BBLR) (X1), Percentage of Toddlers Immunized with Complete Basis (X2), Percentage of Infants Exclusively Breastfed (X3), Number of Undernourished Toddlers (X4), Percentage of Poor People (X5) and Percentage of Access to Proper Sanitation (X6). Results showed that the Generalized Poisson Regression model is µ = exp(5.044 + 0.0005604X4 − 0.01173X6) with two predictor variables that significantly affectstunting cases, namely the number of under-five malnourished children (X4) and the percentage ofaccess to proper sanitation (X6).
GEOGRAPHICALLY WEIGHTED RIDGE REGRESSION MODELING AT THE OPEN UNEMPLOYMENT RATE IN WEST KALIMANTAN Adrian, Ferry; Yundari, Yundari; Aprizkiyandari, Siti
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12063

Abstract

Geographically Weighted Ridge Regression (GWRR) is a development of ridge regression by adding a weighting element as additional information. GWRR is used to overcome spatial data containing local multicollinearity by modifying the ridge regression and GWR. The purpose of this study was to construct the GWRR model and analyze the effectiveness of the GWRR model in overcoming multicollinearity problems in spatial data. The research data used consists of response variables, namely the value of the open unemployment rate $(Y)$ in districts/cities of West Kalimantan Province in 2021 and the explanatory variables used are district/city minimum wage $(X_1)$, population $(X_2)$, percentage of poor population $(X_3)$, labor force $(X_4)$, and average years of schooling $(X_5)$. The analysis process was first carried out by using multiple linear regression modeling and GWR modeling. After that, centering and scaling transformations were carried out on the data, followed by GWRR modeling to overcome the problem of multicollinearity in spatial data. After all the models were obtained, a model comparison was made in terms of the MSE value. Based on the results of the study, 14 GWRR models were obtained by dividing into three regional groups based on the factors that affect the open unemployment rate for each district/city in West Kalimantan Province. In the comparison of the models used, when viewed from the MSE value, the GWRR model has the highest MSE value compared to the linear regression model and the GWR model. Even though the MSE value in the GWRR model is the largest among the three models, in the GWRR model the problem of multicollinearity can be resolved.
COBB-DOUGLAS FUNCTIONAL MODELLING IN ECONOMETRICS (CASE STUDY: THE IMPACT OF SALES AND OPERATIONAL EXPENSES ON NET PROFITS) Sukmawati, Sukmawati; Ghazali, Muhammad; Afifurrahman, Afifurrahman
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12165

Abstract

This study aims to determine the impact of sales and operating expenses on net income by employing a Cobb-Douglas production function. The study uses a quantitative research design which is implemented in four steps, i.e., data description and ln transformation, quality data test, regression analysis, and hypothetical test. The research sample is in the form of time-series data for the period of January 2021-December 2022, consisting of sales, operating expense, and net profit variables collected from the financial reports of Dafin Cell Store in West Lombok Regency. Our statistics analysis confirms that the sales variable significantly affects the net profits as the value 0,005 of t test is smaller than the significance level 0,05. In contrast, the operational expenses do not affect the net profits as the value 0,836 of t test is larger than 0,05. Simultaneously, both sales and operating variables affect the net profits of Dafin Cell Store since the value of 0,004 of F test is larger than 0,05. Through regression analysis we obtain the mathematical model which expresses the relationship of sales (X1), operating expenses (X2) and the net profits (Y).
LOCAL IRREGULARITY POINT COLORING ON THE RESULT OF SUBDIVISION OPERATION OF HELM GRAPHS Nuroeni, Ilmiatun; Kristiana, Arika Indah; Hussen, Saddam; Setiawani, Susi; Adawiyah, Robiatul
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12197

Abstract

One of the sub-chapters studied in graphs is local irregularity vertex coloring of graph. The based on definition of local irregularity vertex coloring of graph, as follow : (i)l : V (G) →{1, 2, 3, . . . , k} as a vertex irregular labeling and w : V (G) → N, for every uv ∈ E(G), w(u) ̸=w(v) with w(u) = Pv∈N(u)l(v) and (i) Opt(l) = min{max(li); li is a vertex irregular labeling}. The chromatic number of the local irregularity vertex coloring of G denoted by χlis(G), is the minimum cardinality of the largest label over all such local irregularity vertex colorings. In this article, discuss about local irregularity vertex coloring of subdivision by helm graph (Sg(Hn)).
GEOGRAPHICALLY WEIGHTED PANEL REGRESSION (GWPR) MODEL FOR POVERTY DATA IN WEST JAVA PROVINCE 2019-2021 Nasri, Ramadhoni; Gusriani, Nurul; Anggriani, Nursanti
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12213

Abstract

The problem of poverty in West Java shows a pattern that tends to be concentrated in adjacent areas, indicating spatial heterogeneity in the problem. On the other hand, poverty in West Java also shows an increasing trend from year to year so that dynamic changes occur in various regions. From this situation, it is necessary to know the factors that affect poverty spatially using panel data. One way is to model the poverty problem with the Geographically Weighted Panel Regression (GWPR) model. The GWPR model is the development of a regression model that combines Geographically Weighted Regression (GWR) with panel data regression assuming a Fixed Effect Model (FEM). The data used in this study are secondary data in the 2019-2021 range from the Central Bureau of Statistics and Open Data Jabar which consists of the dependent variable (Y), namely the percentage of poor people and the independent variable (X), namely the factors that influence the percentage of poverty. The purpose of this study is to produce a GWPR model using the Weighted Least Square (WLS) method with the Tricube adaptive kernel weighting function. By conducting overall and partial testing through the F test and t test, the results show that the model for each location and the factors that influence the percentage of poor people in West Java are different for each location due to spatial variations in the relationship between the independent variable and the dependent variable.
ON THE BOUNDEDNESS PROPERTIES OF MIKHLIN OPERATOR ON GENERALIZED MORREY SPACES Ramadana, Yusuf; Rosali, Dwi Fitriani
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12400

Abstract

In this paper we investigate the boundedness of Mikhlin perators on generalized Morrey spaces. Theresults show that the operators are bounded on generalized Morrey spaces under some assumptions.
TOPOLOGY INDEX OF THE COPRIME GRAPH FOR DIHEDRAL GROUP OF PRIME POWER ORDER Gayatri, Marena Rahayu; Fadhilah, Rifdah; Lestari, Sahin Two; Pratiwi, Lia Fitta; Abdurahim, Abdurahim; Wardhana, I Gede Adhitya Wisnu
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12462

Abstract

In the field of molecular chemistry, graph theory is utilized to represent the structure of a molecule, where the set of nodes corresponds to its chemical elements and the set of edges represents the bonds within the chemical molecule. Graph theory, a mathematical discipline, finds application in various domains, one of which is group representation. This research will delve into the topic of the topological indices of the coprime graph of dihedral groups. The methodology employed involves reviewing several references related to dihedral groups, coprime graphs, and topological indices. This study yields results in the form of Harmonic index, Harary index, first Zagreb index, Gutman index, and Wiener index.
ON THE NUMERICAL SIMULATION OF THE EFFECT OF VACCINE ON MEASLES USING VARIATIONAL ITERATION METHOD Kolawole, Mutairu; Akin-Awoniran, Bukola O; Odeyemi, Kazeem A.; Adigun, Adepeju A.; Ibrahim, Musibau A.; Oladejo, Felix O.
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.v6i1.11954

Abstract

The prevalence of measles as an infectious disease has been of major concern to the government health practitioners over the world. This paper intends to investigate the effect of vaccination as a control measure to control the incidence of it means. The basic reproduction number, local and global stabilities of the disease at equilibrium, sensitivity was obtained. The numerical simulation via variational iteration method was carried out. The result clearly shows that proper procurement of vaccine and its implementation is a good control strategy to reduce the rapid spread of the disease.
COLORING r-DYNAMIC POINT ON CRICKET GRAPH Kusumawati, Nurita; Kristiana, Arika Indah; Alfarisi, Ridho; Adawiyah, Robiatul; Setiawan, Toto Bara; Prihandini, Rafiantika Megahnia
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.v6i1.12191

Abstract

A graph is defined as an ordered set (V,E) where V is a non-empty set of elements called vertices and E is a set of edges which are finite and may be empty and each edge connects two different points of V(G).The r-dynamic coloring is defined as c:V(G)→{1,2,3,…,k} such that it satisfies the following conditions if uv∈V(G), then c(u)≠ c(v), and ∀v∈V(G), |c(N(v))|≥min⁡{r,d(v)}, for positive integers r and degree of vertex v. The purpose of r-dynamic coloring is to find the minimum chromatic number of graph coloring with unlimited parameter r. Dynamic coloring is performed on cricket graphs because no research has been done before. The method used in this research is the axiomatic deductive research method and the pattern detection method.

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