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Journal of Applied Mathematics
Scopus
ISSN 1687-0042 · Wiley · 3.871 artikel di indeks
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Artikel Jurnal
Analysis of the Ballistic Performance of a Balanced Gun With a New Type of Main and Auxiliary Chambers
Increasing the initial velocity of large-caliber, high-mass projectiles remains a persistent challenge in military weapon design. To address this, we developed a novel main–auxiliary chamber configuration based on the balanced gun concept. An internal ballistic model incorporating this dual-chamber…
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Artikel Jurnal
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
A fractional-order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation. Furthermore, as special examples…
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Artikel Jurnal
Some Properties of Hyper Ideals in Hyper Hoop-Algebras
In this paper, we investigate the structural properties of hyper ideals in hyper hoop-algebras, a generalization of hoop-algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and…
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Artikel Jurnal
Enhancing Empirical Modal Extraction by Logarithmic Scaling and Normalization of Multi-Area Signal Measurements
This paper presents a hierarchical scaling and normalization method to multi-area signal measurements that dynamically relates both the angular phase domain and its amplitude in empirical analysis of power system oscillations. The proposed approach combines logarithmic relations and the Hilbert…
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Artikel Jurnal
Early Detection of Cyberattacks in Banking Networks via a Fractional Partial Differential Equation Model
In this paper, we model edge traffic with a conformable fractional partial differential equation that keeps memory in time and space. The solution represents a unit-free attack pressure, built from a z-scored edge series, a quiet period baseline, and a partially absorbing boundary that reflects…
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Artikel Jurnal
An Overlapping One-Step Multiderivative Hybrid Block Method for Solving Second-Order Initial Value Problems
This paper presents a one-step multiderivative hybrid block method of Order 12 that incorporates an overlapping strategy, in which intrastep points from the previous block are reused in the current step to enhance accuracy and stability when solving linear and nonlinear initial value problems. The…
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An Efficient Numerical Model for the Black–Scholes Equations
In this paper, a novel numerical model for the Black–Scholes equations is developed. To address some potential issues that may arise when solving this equation using the conventional model, the original Black–Scholes equation is reformulated as a convection–diffusion equation. The Crank–Nicolson…
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Artikel Jurnal
Modeling Height Distributions in Tilted Ellipsoids With Applications to Pennate Muscle Geometry
This study presents closed-form expressions for the height distribution of uniformly sampled ellipsoids and proves their invariance under tilt about a principal axis. Starting from the circle and the sphere, we extend the geometric–probabilistic framework to the triaxial ellipsoid with semiaxes…
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A Symmetry-Compatible Auxiliary-Field Splitting of the Korteweg–de Vries Equation: Exact Linearisation via the Direct and Inverse Pathways
This paper introduces a symmetry-compatible exact linearisation of the Korteweg–de Vries (KdV) equation through an auxiliary-field splitting based on Q=νfx. The term ‘symmetry’ is used here in a structural sense; the linear operator is held fixed across solution families, rather than in the sense…
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RBF-Based Numerical Solution for Nonlinear Volterra Integral Equation Systems of the Second Kind
This paper presents a numerical method for solving systems of nonlinear Volterra integral equations of the second kind using compactly supported radial basis functions (RBFs). Such equations often appear in population models, epidemic dynamics, viscoelastic processes, and nonlinear transport, where…
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Artikel Jurnal
Recent Advances in Numerical Methods for Stochastic Differential Equations: From Classical Schemes to Wavelet-Based Techniques
Stochastic processes prevail throughout fields as diverse as finance, physics, and biology, demanding increasingly sophisticated mathematical tools. These are the principal components of modeling systems influenced by random forces. The present work offers a structured examination of the solution…
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Certain Properties and Applications of Generalized Gamma and Beta Distributions
Special functions frequently arise in many areas of mathematics, physics, and engineering. In this research paper, we consider two well-known special functions: the generalized gamma function Γkh and the generalized beta function βkg,h. We investigate two important extensions of the classical…
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On the Research of the Secondary Transpose of Tensors via the C-Product
This paper develops a secondary transpose for third-order real tensors under the C-product. The operation is defined in the discrete-cosine-transform domain, reverses the order of the C-product, and is naturally related to the usual transpose through secondary identity tensors. We establish its…
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Artikel Jurnal
New General Integral Inequalities for Polynomial Convexity in the Framework of k-Riemann–Liouville Fractional Operators
The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k-Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing…
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Artikel Jurnal
Improving Relative Humidity Forecasting Accuracy Using a Hybrid CEEMDAN-Based Deep Learning and Machine Learning Approach: A Comparative Analysis
Forecasting relative humidity remains challenging due to its nonlinear, nonstationary characteristics and long-memory dependence. This study proposes a hybrid decomposition-ensemble model, Complete Ensemble Empirical Mode Decomposition with Adaptive Noise–Sample Entropy–Gated Recurrent Unit–Ridge…
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Integrating Non-Gaussian Autoregressive Processes With Neural Networks for Financial Market Forecasting
The assumption of Gaussian innovations has traditionally been standard in autoregressive integrated moving average (ARIMA) models. However, financial time series frequently exhibit heavy tails, skewness, and outliers, violating the Gaussian assumption and motivating the use of non-Gaussian models…
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Fractional Modeling of AI-Driven Cyberattack Waves via Atomic Solutions of a Nonseparable Fractional PDE
We utilize a fractional partial differential equation for modeling the spatiotemporal evolution of AI-driven cyberattacks in networked systems. The model captures fractional scaling effects and the coupling between temporal dynamics and network propagation. Using the atomic solution method…
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A Nonlinear Quantum-Deformation-Fractional Model for Memory-Dependent Glucose–Insulin–Glucagon Dynamics With Real-Data Validation
This study develops a nonlinear (q,τ)-fractional biophysical model for memory-dependent glucose–insulin–glucagon regulation. The model is motivated by the fact that metabolic regulation is governed by delayed insulin action, counter-regulatory glucagon response, nonlinear feedback, and…
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Artikel Jurnal
New Model for Prey–Predator Population Dynamics With Behaviorally Structured State Transition
This paper presents a prey–predator wildlife ecological model that explicitly categorizes predator populations into searching, hunting, and resting states within an SHRS-type compartmental framework. It examines the influences of ecological factors such as prey availability and recovery on predator…
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Artikel Jurnal
Optimal Transport-Based Data Assimilation Scheme for Individual-Based Models
In this study, a data assimilation scheme for individual-based models (IBMs) based on optimal transport theory is defined and analyzed. When simulating an IBM and acquiring observations of population densities and food concentrations, the assimilation scheme allows the observations to be used for…
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