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5 articles for “numerical simulations”
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Mathematical Approaches to Nonlinear Oscillatory Systems with Damping: Exact and Approximate Solutions
Abstract: The study of nonlinear oscillatory systems with damping is a key area of research in applied mathematics, particularly in the context of dynamical systems, stability analysis, and bifurcation theory. These systems, described by second-order nonlinear differential equations, exhibit a rich variety of behaviors, including periodic, quasi-periodic, and chaotic motions. The introduction of damping—representing energy dissipation—adds a layer of complexity, making the analytical and numerical solution of such systems a challenging …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 7–11 Read article
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Debris Flows in Mining Areas: Risk Assessment and Mitigation Strategies for Mine Waste Management
Abstract: This study investigates the dynamics and risks associated with debris flows, focusing on the differentiation between natural and mine-generated debris, particularly in storm-affected areas. Mine debris flows, frequently exacerbated by heavy rainfall and human activities, are a major concern due to their destructive potential and environmental impact. The research highlights key factors contributing to debris flow hazards, such as sediment composition, flow velocity, and terrain susceptibility. Additionally, the study explores …
Published in International Journal of Minerals · Vol. 1, Issue 2, 2024 · pp. 1–7 Read article
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Total-internal-reflection-based optical rotation quasi-phase-matching for efficient second-harmonic generation in Cadmium Germanium Arsenide crystal
Abstract: This study investigates a total-internal-reflection (TIR)-based optical rotation quasi-phase-matching (ORQPM) approach for second harmonic generation within a cadmium germanium arsenide crystal slab. The crystal is coated with a thin film of yttrium oxide to facilitate precise control over phase shifts between p- and s-polarized light upon reflection at the slab-film interface. By leveraging the interplay between TIR- induced optical rotation and fractional QPM effects at designated bounce points, the configuration …
Published in International Journal of Crystalline Materials · Vol. 3, Issue 1, 2026 Read article
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Mathematical Modeling of Epidemics Using Stochastic Differential Equations: A Review
Abstract: The accurate modeling of infectious disease dynamics is crucial for predicting outbreaks and informing public health interventions. While deterministic models such as the SIR (Susceptible-Infected-Recovered) framework have traditionally been used to understand disease transmission, they often fail to account for the randomness inherent in real-world scenarios. Disease spread is influenced by numerous uncertain factors, including individual behavioral changes, environmental fluctuations, and imperfect data reporting. These uncertainties can significantly impact model …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 1–6 Read article
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Steel Structural and Functional Characteristics Focusing on Corrosion Mechanisms
Abstract: This research article examines steel structural and functional characteristics, focusing on corrosion mechanisms and inhibitor protection strategies. Steel corrosion affects numerous industries, causing significant economic losses and safety risks. Fundamental electrochemical processes behind various corrosion forms including uniform, pitting, crevice, galvanic, intergranular, and stress-induced corrosion are explained. The chapter highlights the steel industry's importance while investigating how corrosion impacts performance and longevity. Protection methods discussed include material selection, environmental modification, …
Published in International Journal of Minerals · Vol. 2, Issue 2, 2025 · pp. 25–34 Read article