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Jurnal Diferensial
SINTA 5
ISSN 2775-9644 · Universitas Nusa Cendana · 95 artikel di indeks
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Artikel Jurnal
Teorema Titik Tetap Kontraksi Tipe Banach–Kannan dan Konvergensi Iterasi General Picard–Mann
Teori titik tetap memiliki peran penting dalam menyelesaikan berbagai masalah yang dimodelkan dalam persamaan diferensial maupun persamaan nonlinear. Dalam banyak masalah, menemukan titik tetap secara analitik sulit dilakukan sehingga diperlukan algoritma numerik untuk mengaproksimasinya…
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Artikel Jurnal
A Hybrid Semi-Analytical Technique for the Homogeneous Space Fractional Damped Wave Equation with Gaussian White Noise
This paper addresses the severely ill-posed final value problem for the homogeneous space fractional damped wave equation subject to Gaussian white noise. Unlike the well-posed forward problem, recovering the initial state from noisy final data is unstable, as high-frequency noise components are…
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Artikel Jurnal
Modeling the Impact of Mint–Leaf Therapy and Sanitation on Malaria Transmission among Infants
Malaria transmission among infants remains a persistent concern to health care practitioners in regions with this disease equilibrium, motivated by the assessment of complementary intervention alongside conventional treatment strategies can help submerge this prevalence. This study investigate the…
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Artikel Jurnal
A Hermite Collocation Framework for Nonlinear SEIMAR Modeling of COVID-19 Transmission Dynamics
Background: The Coronavirus-related infection requires advanced mathematical models to grasp the nature of the transmission and analyze therapeutic interventions. Multi-compartment epidemic models with their nonlinear complexities are difficult to tackle traditionally by numerical means, especially…
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Artikel Jurnal
An Integrated Mathematical Model for Detecting Known and Unknown Fraud Patterns with Optimal Resource Allocation in the Nigerian Social Security System
Social security systems in developing countries face substantial fraud losses threatening system sustainability, yet resource-constrained agencies can investigate only a small fraction of claims. We present a comprehensive mathematical framework integrating Bayesian logistic regression for known…
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Artikel Jurnal
A Solutions of the Linearized Two-Dimensional Generalized Dispersive Wave Equation with Mixed Derivative via the Residual Power Series Method
This article applies the Residual Power Series Method (RPSM) to solve the Linearized Two-Dimensional Generalized Dispersive Wave Equation (L-2DGDWE) featuring the mixed derivative term $u_{xt}$. The RPSM is based on the general Taylor series formula combined with a residual error function…
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Artikel Jurnal
Analysing Cholera-Measles Epidemics of a Fractional-Order Model with Preventive Strategies Using Laplace Adomian Decomposition Method.
This study provides an in-depth examination of cholera-measles epidemics through a fractional-order mathematical model that integrates essential preventive measures. By employing fractional calculus, the model captures the memory and hereditary properties of disease transmission dynamics, offering…
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Artikel Jurnal
An Analysis of the COVID-19 Agenda Using Big Data from Social Media: A Comparative Study across Countries with R Programming
Social media platforms are becoming increasingly important as sources of public discourse and real-time data analysis, as the COVID-19 epidemic has highlighted. Using the hashtag #COVID19, this study examines COVID-19-related tweets from seven nations (the US, Germany, South Korea, Iraq, Spain…
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Artikel Jurnal
Mathematical Analysis and Control of Typhoid Fever Dynamics Using a SEITRB Fractional Model
The seitrb compartmental model was formulated to investigate the transmission dynamics and control of typhoid fever, incorporating the susceptible, exposed, infected, treatment, recovered, and environmental bacteria populations. The model was analyzed for well-posedness, establishing existence…
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Artikel Jurnal
Perturbed Akbari-Ganji Method for the Solution of Singular Multi-Order Fractional Differential Equations
Differential equations, which involve derivatives, are fundamental in describing various physical and engineering phenomena. Newton’s second law of motion provides a basic example, which illustrates how force, mass, and acceleration relate through differential equations. These equations are widely…
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Artikel Jurnal
Dimensi Metrik Lokal pada Operasi Korona Graf Ular Segitiga dengan Graf Lintasan Orde Dua
Graf pertama kali diperkenalkan oleh Leonard Euler melalui permasalahan Jembatan Königsberg pada tahun 1736. Misalkan $G$ adalah graf terhubung dengan himpunan verteks $V(G)$ dan himpunan sisi $E(G)$. Konsep jarak pada graf melahirkan pengertian dimensi metrik dan dimensi metrik lokal. Misalkan $W…
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Artikel Jurnal
ABC Index Analysis: Physical Properties of Prenylated Xanthone
Xanthone is a heterocyclic compound with various substituents (hydroxy, prenyl, geranyl, methoxy, halogens, and others). The presence of these substituents contributes to diverse biological activities, including anticancer, antidiabetic, and antioxidant properties. This study aims to optimize the…
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Artikel Jurnal
Analisis Hubungan Nilai Indeks Zagreb dengan Titik Didih dan Kestabilan Senyawa Kerangka Dasar Calamenene
Senyawa baru dysoxyphenol hasil isolasi dari Dysoxylum densiflorum yang memiliki kerangka dasar calamenene. Struktur senyawa dysoxyphenol termasuk ke dalam golongan sesquiterpene. Penelitian ini membahas terkait dengan hubungan perhitungan nilai Indeks Zagreb dengan sifat fisik dan kestabilan dua…
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Artikel Jurnal
Indeks Sombor dari Graf Koprima Prima untuk Grup Bilangan Bulat Modulo
Graf koprima prima dari bilangan bulat modulo n adalah sebuah pasangan berurut yang terdiri atas himpunan simpul (bilangan bulat modulo n) dan himpunan sisi. Dua simpul yang berbeda dikatakan bertetangga jika faktor persekutuan terbesar (FPB) dari ordo mereka adalah 1 atau sebuah bilangan prima…
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Artikel Jurnal
The Metric Dimension of Theta Graph
Let $ G = (V, E) $ be a connected graph with vertex set $ V(G) $ and edge set $ E(G) $. For any two vertices $ u $ and $ v $ in $ G $, the shortest path distance between $ u $ and $v$ is denoted by $d(u, v)$. If $W = \{w_1, w_2, \dots, w_k\}$ is an ordered set of vertices in the connected graph $G$…
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Artikel Jurnal
Klasterisasi Produktivitas Daerah di Jawa Tengah Berdasarkan Ketenagakerjaan Menggunakan K-Means dan Average Linkage
Penelitian ini menggunakan metode K-Means dan Agglomerative Clustering (Average Linkage) untuk mengelompokkan wilayah berdasarkan variabel jumlah penduduk, tingkat pengangguran, dan indikator pendukung lainnya. Data dinormalisasi dan dievaluasi dengan metrik Silhouette Score, menghasilkan tiga…
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Artikel Jurnal
Implementasi Runtun Waktu Samar Orde Tinggi Yolcu-Egrioglu-Aladag dalam Melakukan Peramalan
Peramalan memegang peran penting dalam pengambilan keputusan strategis di berbagai bidang, mulai dari ekonomi hingga manajemen publik. Namun, metode peramalan tradisional seperti ARIMA dan regresi linier memiliki keterbatasan dalam menangani karakteristik data runtun waktu yang sering kali berpola…
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Artikel Jurnal
A Novel Approach to Topological Indices of the Identity Graph Associated with the Finite Group
Graph theory is applied to study network structures in various disciplines, such as computer science and discrete mathematics. The combination of graphs and algebra has become a widely discussed topic in research within the fields of algebra and combinatorics. Research on group representations on…
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Artikel Jurnal
Modelling Immunological Effects on Fractional Order of Cholera Dynamics with Behavioral Response via Numerical simulation
Cholera, spread by the bacterium Vibrio cholerae, is still a major health problem in places with unsanitary conditions. The way it spreads relies on the host’s immunity, certain environmental aspects and how clean people keep themselves and their properties. The model in this study applies Caputo…
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Artikel Jurnal
Evaluasi Kinerja Uji Normalitas pada Ragam Distribusi dan Ukuran Sampel
Distribusi normal merupakan asumsi penting dalam banyak metode statistika parametrik. Oleh karena itu, pengujian normalitas data menjadi langkah krusial sebelum melakukan analisis lebih lanjut. Penelitian ini bertujuan untuk mengevaluasi kinerja tiga metode uji normalitas yang paling umum…