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12 articles for “Perturbation method”
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MHD-Assisted Flow Regulation of Viscoelastic Polymer Fluids for Industrial Cooling and Composite Fabrication with Isotherml Plates
Abstract: This study investigates the magnetohydrodynamic (MHD) regulation of viscoelastic polymer fluid flow over a permeable plate, emphasizing its relevance to industrial cooling and composite fabrication. An incompressible, electrically conducting viscoelastic fluid is analyzed under a transverse magnetic field with Hall and ion-slip effects to capture electromagnetic alterations in polymer transport. The governing non-dimensional equations for momentum, temperature, and concentration are solved analytically using the perturbation method. The results show that …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 851–866 Read article
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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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The Onset of Rayleigh-Bénard-Marangoni Convection in a Ferromagnetic Fluid Layer
Abstract: This study examined the implications of magnetic boundary conditions, which are vertical in nature, on buoyancy and surface tension–driven ferrothermal convection (FTC) in a ferrofluid layer. While the upper surface is stress-free and susceptible to general thermal boundary issues, the bottom surface is stiff and insulating against temperature changes. The eigenvalue issue is solved analytically using the regular perturbation method and numerically using the Galerkin technique. According to analysis, raising …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 1, 2025 · pp. 1–9 Read article
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Incremental Conductance Algorithm and Perturb and Observe Algorithm Reveals Key Insights into Their Comparative Analysis: A Review
Abstract: The maximum or more is a crucial aspect of PV systems to optimize energy harvesting from solar panels, which have been the focus of extensive research and implementation. This study presents a comprehensive comparative analysis of these two methods of evaluation to evaluate their performance and suitability for various operating conditions. The Perturb and Observe method, a simple and widely adopted MPPT algorithm, involves perturbing the operating point and observing …
Published in International Journal of Optical Innovations & Research · Vol. 2, Issue 2, 2024 · pp. 9–16 Read article
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Study on the Method of Constructing a System of Linear Equations for Calculating Aerodynamic Derivatives
Abstract: The aerodynamic derivatives can be calculated from the unsteady hydrodynamic forces experienced by the harmonic-oscillating vehicle. Until now, unsteady flow field analysis in aerodynamic derivative calculations has been applied mainly to thin bodies based on potential theory MSC. Nastran is a typical application based on potential theory MSC. Natran can calculate the aerodynamic derivatives of the vehicle relatively well in the subsonic region, but in the supersonic region, the fuselage …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 3, 2025 · pp. 14–24 Read article
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Assessing the Robustness of Machine Learning Models for Wireless Intrusion Detection Under Adversarial Traffic Perturbations
Abstract: As the Internet of Things (IoT) devices and wireless communication networks continue to grow rapidly, protecting systems from cyber threats has become increasingly important. Machine learning–based intrusion detection systems (IDS) have shown strong potential in detecting abnormal and malicious network activities, yet their effectiveness and resilience when facing adversarial attacks are still not sufficiently explored. This research evaluates Machine Learning (ML) models–XGBoost, random forest, and multi-layer perceptron (MLP)—in detecting attacks …
Published in International Journal of Wireless Security and Networks · Vol. 4, Issue 1, 2026 · pp. 29–34 Read article
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Phase Behaviour Study of a Mesogen in a Solvent Role of Molecular Rigidity and Configurational Entropy
Abstract: The phase behaviour of a nematogen 4’-n-pentyloxy-4-biphenylcarbonitrile (POBPCB) has been studied with respect to the translational and orientational motions. The charges of atoms and their dipole moments have been estimated by implementing the complete neglect differential overlap (CNDO/2) method. The long-range interactions have been analyzed using modified Rayleigh- Schrodinger Perturbation theory together with the multicentred-multipole expansion scheme. The “6- exp” potential function has been considered to study the short-range interactions. …
Published in Research & Reviews : Journal of Physics Read article
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Learning of Maximum Power Point Tracking Architecture with Various Algorithms for Photovoltaic Systems: A Review
Abstract: Currently, as the requirement on the Earth for ever more electricity grows, so too accordingly must demands upon renewable energy. These days, with the growth of renewable energy on all fronts, countries everywhere watch its development. Since demand for power generation goes up again, fossil fuels become less and less available, and expense is not coming down. When there is a rapidly changing irradiance, temperature, or partial shading, the output …
Published in Journal of Power Electronics and Power Systems · Vol. 16, Issue 2, 2026 Read article
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LQR-Based Optimal Control of Inverted Pendulum System with State Estimation and Stability Analysis
Abstract: The inverted pendulum on a cart is a canonical benchmark problem in control systems engineering, capturing the essential challenges of stabilizing an inherently unstable, underactuated, and nonlinear plant. Classical Proportional-Integral-Derivative (PID) controllers, while widely employed in industrial practice, exhibit fundamental performance limitations when applied to such systems, primarily due to their inability to account for multivariable coupling, process noise, and the absence of a systematic optimization framework. This paper presents …
Published in International Journal of Advanced Control and System Engineering · Vol. 4, Issue 1, 2026 · pp. 31–43 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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Representation-Theoretic Symmetry Reduction and Fuzzy-Grey Optimization of Modular Vibration Systems
Abstract: This paper presents a representation-theoretic framework for symmetry-aware vibration control in modular structural systems. Exploiting cyclic symmetry, the mass, damping, and stiffness operators are block-diagonalised into irreducible representations, reducing the full structural dynamics to a collection of lower-dimensional modal subsystems. This decomposition provides both computational efficiency and a rigorous mathematical description of symmetry-preserving dynamic behaviour. To account for imperfections arising in practical implementations, near-symmetry defects in stiffness and damping are …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 22–30 Read article
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Persistent Atmospheric and Ecosystem Impacts of Enteric Methane Emissions from Intensive Livestock Production Systems
Abstract: Enteric methane emissions from intensive livestock production systems exert a significant long-lasting influence on atmospheric stability and ecosystem integrity. Recent observations confirm that global methane emissions continued to rise through the early 2020s, with total emissions exceeding 620 teragrams per year by 2024, driven by expanding ruminant production and associated feed systems. Anthropogenic sources accounted for more than 330 teragrams per year, reflecting sustained growth in agricultural and fossil fuel …
Published in International Journal of Atmosphere · Vol. 2, Issue 2, 2025 · pp. 18–38 Read article