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Computational and Mathematical Methods
Scopus
ISSN 2577-7408 · Wiley · 57 artikel di indeks
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Artikel Jurnal
Safe and Quickest Medical Image Encryption Using Logistic Map Derived S-Boxes and Galois Field
The pseudorandomness, simplicity of use, and extreme sensitivity to even the slightest change in the initial value and handling parameters make chaotic maps attractive. The use of medical imaging to diagnose illnesses has grown in significance. These photographs need strong security measures…
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A Computational Multiresolution Nonlinear Autoregressive Framework Based on Wavelet Decomposition and Support Vector Regression
This study introduces a computational multiresolution nonlinear autoregressive framework based on wavelet decomposition and support vector regression (SVR) for time series exhibiting heterogeneous temporal dynamics. Conventional nonlinear autoregressive models typically rely on single-scale lagged…
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Artikel Jurnal
Discretized Trigonometric Burr–Hatke Distributions: Properties, INAR(1) Process, and Population Size Estimation
This study presents a novel suite of discrete trigonometric Burr–Hatke distributions, encompassing the discrete tangent Burr–Hatke (DTBH), discrete sine Burr–Hatke (DSBH), discrete cosine Burr–Hatke (DCBH), and discrete type II tangent Burr–Hatke (DTIITBH) distributions to model count data with…
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Analysis and Validation of a Real-Time AR-IoT Training System via Nonlinear Dynamical Modeling
This paper presents a formally validated real-time AR-IoT firearm training framework, in which classical control-theoretic tools are embedded as a system-level validation layer rather than as novel theoretical contributions. Unlike prior AR-based training systems that rely primarily on heuristic or…
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A Fractional-Order Discrete-Time FitzHugh–Nagumo Model With Multiple Time Delays
This paper introduces a novel fractional-order (FO) discrete-time FitzHugh–Nagumo model (FHNM) that incorporates multiple time delays to capture the combined effects of memory and transmission latencies inherent in neuronal dynamics. The model is formulated using the Caputo nabla difference…
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Radial Basis Function Neural Network With Resilient Backpropagation for Solving Fractional-Order Chaotic Virotherapy Dynamics
The purpose of this work is to solve the fractional-order model of chaotic virotherapy dynamics by executing a neural network scheme. The chaotic virotherapy dynamics is divided into four categories: uninfected tumor cells, infected tumor cells, immune cells, and virus-free cells. The…
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On Efficient Iterative Algorithms and Conditioning for the Nonlinear Sylvester Equation
Nonlinear Sylvester-type matrix equations arise in applications such as control theory, observer design, model reduction, and data-driven systems, where they model higher order interactions in matrix transformations. Unlike the classical Sylvester equation, the presence of nonlinear terms…
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On the Solution Structure of Sequential φ-Hilfer Fractional Differential Equations With p-Laplacian Operator
This work researches in a class of φ-Hilfer FDEs with p-Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach's fixed-point theorem. Subsequently, an alternative theorem is applied to verify the existence of at…
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Acceleration of Volume Integral Equations Using Trimmed Multilevel Fast Multipole Algorithm
The concept of trimmed tree structures for multilevel fast multipole algorithm (MLFMA), referred to as trimmed-MLFMA (T-MLFMA), is proposed for the solution of volume integral equations for the fast analysis of scattering from large, inhomogeneous objects, where the conventional MLFMA suffers from…
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Modeling Spiral Chaos in Predator–Prey Dynamics Using Implicit Integration Factor Schemes
This paper presents efficient implicit integration factor (IIF) methods as robust alternatives to classical finite difference schemes for the numerical solution of nonlinear time-dependent reaction–diffusion equations in one and two spatial dimensions. The proposed framework combines computational…
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Fractional Dynamics of Nonlinear Liquid Dispersion Pattern Drops: A Robust Analytical Study of Modulation Instability and Compacton Structures
Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures…
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Fractional Epidemic Dynamics With Memory: Rigorous Analysis, Data-Constrained Learning, and Physics-Informed Forecasting
This paper investigates a fractional-order susceptible–exposed–symptomatic infectious–asymptomatic infectious–treated–recovered (SEIATR) epidemic model in the Caputo sense. The study establishes well-posedness, derives the basic reproduction number, and analyzes equilibrium stability. An L1…
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Modified Fast Inertial-Type Krasnosel’skii-Mann Iterative Scheme Involving Asymptotically Nonexpansive Mapping
It is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces. Let T:H⟶H be asymptotically nonexpansive mapping with FT≠∅ ∅ and let xnn≥0 be defined by xn+1=σnzn+bnTnσnzn−σnzn+εn,∀n≥1. T satisfies an…
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Mixed-Condorcet: An Advanced Method of Clustering for Mixed Data in Social Sciences
This paper provides a new clustering method for mixed data based on α-Condorcet, denoted mixed-Condorcet, by introducing a new Condorcet criterion. This criterion combines α-Condorcet and k-prototype criteria. Next, we give the within-cluster sum-of-squares expression for our new method…
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Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective
In this research work, a ratio-dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed. Stable and unstable…
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Some New Fixed Point Results in Banach Space for Enriched Contraction in Terms of Krasnoselskii Iteration
In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self-mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further…
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Neurocomputing Modeling of Hydromagnetic Nanofluid Flow With Chemical Reactions on Fluctuating Sheets
Industrial applications involving coupled mass and heat transfer have motivated the present study of steady, two-dimensional magnetohydrodynamic (MHD) nanofluid flow on a linearly stretching sheet, with viscous dissipation, temperature-dependent viscosity, chemical reactions, and Soret effects…
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Self-Organization Conditions and Invariant Measure for Traffic Flow on Topological Bouquet With Nonuniform Petals
A dynamical system is studied such that belongs to a class of Buslaev nets. This class contains traffic models with complex network structure. We provide results for a more general system than the system that was in consideration earlier. A new version of model has been provided. The studied system…
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Secant Unit Gompertz Quantile Regression for Modeling Bounded Endogenous Variables
Modeling data that falls within the [0,1] domain is a huge task in most scientific disciplines. This is because most classical distributions do not address the issues of complex data shapes as well as managing the dynamism of extreme quantiles. The study thus developed the secant-based extension of…
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Modeling and Optimization of Solvent-Based Ultrasonic-Assisted Extraction of Glutinous Pigmented Rice Bran's Total Anthocyanin Content Using Response Surface Methodology (RSM) and Artificial Neural Networks (ANNs)
Modeling nonlinear interactions within ultrasonic-assisted extraction (UAE) processes for optimal anthocyanin compound recovery requires analytical approaches that extend beyond the structural constraints of polynomial approximations. In this study, a structured comparative modeling framework was…