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158 articles for “mathematical modelling”
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Effect Of Sinusoidal and Inverse Sinusoidal Load on The Vibration and Buckling Behaviour of Laminated Composite Symmetrical and Unsymmetrical Trapezoidal Panels
Abstract: Using finite element (FE) techniques, this work analyzes the influence of sinusoidal and inverse sinusoidal stresses on the buckling behavior of trapezoidal laminated composite panels (also known as trapezoidal laminated composite panels). The discretization of the composite panel is accomplished by the use of an eight-noded iso-parametric plate element, which has five degrees of freedom for each node. Due to the incorporation of Higher Order Shear Deformation Theory (HOSDT) into …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 72–84 Read article
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Continuous-Time Modelling of the Two-Input Fourth Order DC_DC Converter
Abstract: Two-input fourth-order integrated (TIFOI) converter is designed to process the power from two different sources Vg1 and Vg2. This converter facilitates regulation of dc-bus voltage and LVS current. In the power conversion process it performs bucking operation for first dc source Vg1, buck-boost operation for the second source Vg2. Power stage dynamics of the TIFOI converters is modeled using the state-space analysis. The system modelling plays an important role in …
Published in Journal of Control & Instrumentation Read article
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Perturb and Observe Maximum Power Point Tracking Technique with PID Controller for a Wind Power System
Abstract: The wind power generation system has a significant growth worldwide over the past four decades. The wind power generation system has strong coupling and linear characteristics which makes it a complicated electromechanical system. The power control strategy has a higher impact on the overall performance as the wind power generation is operated at variable and random wind speed conditions. PID control is the most used control algorithm in industrial applications. …
Published in International Journal of Advanced Control and System Engineering · Vol. 1, Issue 1, 2023 · pp. 15–25 Read article
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Spectral Intuitionistic Fuzzy Hypergraph Operators and Dominance Kernels for Resilient Discrete Network Design
Abstract: A new discrete-mathematical framework is developed for resilient network design on intuitionistic fuzzy hypergraphs, where uncertainty is explicitly represented through membership, non-membership, and hesitation degrees associated with both vertices and hyperedges. These three components are systematically integrated into an effective incidence operator that captures the underlying uncertain relationships within complex hypergraph structures. Based on this operator, both un-normalised and normalized Laplacian matrices are formulated to characterize the spectral properties and …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 41–48 Read article
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The Rise of Fractional Calculus: Novel Applications in Engineering and Biological Systems
Abstract: Fractional calculus (FC) is an advanced mathematical framework that generalizes the classical concepts of differentiation and integration to non-integer, or fractional, orders. This extension of traditional calculus allows for the modeling of complex dynamic systems that exhibit behavior not easily captured by integer-order differential equations. Over the last few decades, fractional calculus has seen a rapid rise in popularity, particularly in applied mathematics, engineering, and biological sciences, due to its …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 7–11 Read article
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Impact of Total Quality Maintenance Parts on The Operation of Electric Motor in Thermal Desorption Unit
Abstract: Thermal desorption Unit been a vital equipment with complex applications in the sections of waste and minerals treatments, suffers intensively in the managerial section as a whole. This paves a way towards the aim of this research work which covers the type of the impact of Total Quality maintenance electric motor parts on the Operation of the Thermal Desorption Unit [TDUs] using that of the Halden Nigeria Limited, located within …
Published in International Journal of Advance in Molecular Engineering · Vol. 2, Issue 1, 2024 · pp. 14–25 Read article
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Automated Math Solver Assist with LLM RAG
Abstract: The challenges of solving complex mathematical problems often hinder efficiency in various scientific and engineering domains. This project proposes an innovative solution to these challenges by integrating automated math solvers with large language model (LLM) retrieval-augmented generation (RAG). The proposed system aims to streamline mathematical problem-solving processes, offering a robust and precise tool for real-time recognition, classification, and solution generation. This work provides a novel method of automating the solution …
Published in Current Trends in Signal Processing · Vol. 14, Issue 2, 2024 · pp. 25–30 Read article
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Comparative Analysis of AI-Based Approach vs. Traditional Methods in Climate Modeling
Abstract: Climate modeling helps to predict the future of climate variations and human interference with environment. The traditional General Circulation Models (GCMs) are based on physics-derived mathematical equations but are very expensive in terms of computation. There are alternative ways to perform climate modeling in recent years with the rise and improvement of Artificial Intelligence (AI) based approaches in term of predictability, efficiency, and classification of extreme events compared to conventional. …
Published in Current Trends in Information Technology · Vol. 15, Issue 3, 2025 · pp. 26–32 Read article
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Quantifying Damage Evolution in Fiber-reinforced Composites Using Fracture Mechanics
Abstract: By evaluating the evolution of damage, such as cracks or delamination, within the material over time or under various loading situations, damage evolution in fiber-reinforced composites can be characterized using fracture mechanics. Fracture mechanics offers a framework for understanding and projecting the behavior of materials that already have damage or flaws. Since they have a high strength-to-weight ratio and unique mechanical qualities, fiber-reinforced composites are essential in many branches of …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 1, Issue 1, 2023 · pp. 26–32 Read article
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Inverse Model for Predicting Thermal Abnormality of the Transient Process Triggered by Defective Electronics Element
Abstract: The paper presents a model for predicting thermal abnormalities in Printed Circuit Boards (PCBs) by approximating the thermal process of electric elements with heating from point sources. Circuit board heat sources are defined as point and non-point. The point heat source is a small electronic heating element that can be approximated as having originated from one point on the circuit board. A non-point source is one with heat distributed over …
Published in International Journal of Energy and Thermal Applications · Vol. 3, Issue 2, 2025 · pp. 24–31 Read article
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Analyzing Thermal Expansion in Polymer Composites Through Heat Transfer Simulations
Abstract: Although lightweight and strong, polymer composites require careful handling in environments where temperatures shift. Their usefulness in fields like aviation, vehicle manufacturing, and electronic devices comes from customizable heat behavior alongside favorable mechanical traits. Yet variation in size due to heating or cooling remains a concern hard to dismiss. As conditions change, expansion occurs - sometimes enough to disrupt fit, alignment, or function within complex systems. This response to warmth …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 Read article
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Role of Fatigue and Creep in Structural Damage: A Comprehensive Review
Abstract: Fatigue and creep are two critical degradation mechanisms that significantly influence the structural integrity and longevity of engineering materials. These phenomena arise due to different loading and environmental conditions but often coexist in various industrial applications, leading to severe material degradation over time. Fatigue primarily results from cyclic loading, where repeated stress variations induce microstructural damage and crack initiation, ultimately causing catastrophic failure. Conversely, creep occurs under sustained stress at …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 3, Issue 1, 2025 · pp. 22–26 Read article
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An Analytical Study on Learning Difficulties in Estimation Theory Among Undergraduate Engineering Students
Abstract: Estimation Theory is a critical mathematical foundation for all engineering disciplines, enabling learners to model uncertainty, analyse signals, and derive optimal estimators. However, undergraduate students frequently struggle with its abstract properties, complex derivations, and prerequisite statistical concepts. This study investigates the key learning difficulties faced by students across multiple engineering branches using diagnostic tests, structured questionnaires, and interviews. The findings reveal that students commonly experience challenges related to weak probability …
Published in Research & Reviews : Journal of Statistics · Vol. 15, Issue 1, 2026 Read article
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A SEIR-Informed Stacked Fusion of Prophet, XGBoost, and LSTM for Ward-Level Epidemic Forecasting in Amravati Municipal Corporation
Abstract: Municipal epidemic preparedness depends on accurate short-horizon forecasts at fine spatial granularity. Ward-level incidence series are typically nonstationary due to changing contact patterns, interventions, reporting delays, and heterogeneous demographic and environmental factors. This paper presents a mathematically formulated hybrid forecasting architecture designed for Amravati Municipal Corporation (AMC). The method decomposes observed incidence into (i) a mechanistic SEIR baseline that enforces epidemiological structure and (ii) a data-driven residual learned using Prophet …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 17–23 Read article
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Optimization of Tensile and Flexural Properties of PETG Filament in FDM 3D Printing Using Response Surface Methodology
Abstract: Now a days manufacturing trend has been changed from subtractive to additive. In additive manufacturing (3D Printing), layer by layer deposition occurs and final product can be obtained. The main advantages of additive manufacturing is to obtain customized product, complex geometry product. This research investigates the optimization of tensile and flexural Strength of PETG filament in Fused Deposition Modeling (FDM) 3-d printing by using of Response Surface Methodology (RSM). Specimens …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 39–58 Read article
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Development of a Novel Analytical Framework for Investigating Non-Symmetric Deformation Behavior in Strip Rolling
Abstract: In recent years, the asymmetrical rolling process has attracted considerable research attention due to its ability to induce non-uniform deformation characteristics within metallic workpieces. In this context, the present study introduces a novel analytical framework for asymmetrical cold rolling based on an enhanced slab method, specifically designed to overcome the inherent limitations of existing analytical models when applied to a wide range of asymmetric rolling conditions. A newly developed mathematical …
Published in Journal of Experimental & Applied Mechanics · Vol. 17, Issue 1, 2026 · pp. 1–21 Read article
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Characterization of Strength of Aluminum (Al 6063-T6) After Corrosion
Abstract: Aluminum are frequently used as light weight structure in various nautical design. One of them is the ship structure design where sever environment of saline water influences the damage of the structure and one among them is pitting. In this paper, an experimental verification of strength and impact of corrosion effect on Al-6063–T6 aluminum was presented. The specimens were exposed to saline water for various duration like 500 hrs, 750 …
Published in Journal of Experimental & Applied Mechanics Read article
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Predicting and Prohibiting the Risk of Heart Failure Using Machine Learning
Abstract: It is challenging to estimate the likelihood of complex chronic disease while treating conditions like heart failure. The application of machine learning, an area of artificial intelligence, in cardiovascular care is growing quickly. In essence, it defines how computers classify and understand data, or choose a task with or without human intervention. The theoretical underpinnings of machine learning are models that accept input data (such as images or text) and …
Published in International Journal of Computer Science Languages · Vol. 1, Issue 1, 2023 · pp. 15–20 Read article
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The Role of Optimization and Probability in Shaping Artificial Intelligence
Abstract: This study discusses the basic roles of optimization algorithms and the theory of probability in the process of evolution and development of Artificial intelligence (AI). First, we introduce the role played by the next generation of leading-edge optimization algorithms developed since gradient descent to evolutionary strategies with respect to the learning of high-level AI models and how to enable them to learn to effectively explore high-dimensional parameter spaces. At the …
Published in Journal of Computer Technology & Applications · Vol. 16, Issue 2, 2025 · pp. 123–128 Read article
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ML Associated DoS and DDoS Attack Observation in Protection
Abstract: DoS and DDoS assaults are significant risks to the availability and integrity of online services and networks. Attack traffic might come from a variety of geographical regions, making it difficult to filter and neutralize the attack. DDoS attacks are far more sophisticated and powerful than DoS attacks. They use a network of compromised devices, known as a botnet, to launch a coordinated attack on a target. Monitoring and evaluating the …
Published in International Journal of Satellite Remote Sensing · Vol. 2, Issue 1, 2024 · pp. 18–26 Read article