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55 articles for “Engineering Mathematics”
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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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History and Applications of Kalman Filter: A Review
Abstract: The Kalman filter is a powerful algorithm that is used to estimate the dynamic system states with noisy measurements and uncertain behaviors. It is an optimal estimator that minimizes the average squared error between the estimated states and the true states, given the noisy data and a model of the system. The recursive algorithm is highly effective in tracking and predicting the state of complex systems over time. Kalman filters …
Published in International Journal of Electrical Power and Machine Systems · Vol. 2, Issue 1, 2024 · pp. 14–23 Read article
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From Differential Equations to Data Science: A Survey on Analytical Methods in Contemporary Problems
Abstract: The integration of differential equations and data science methods represents a dynamic and evolving approach to solving contemporary challenges across a wide range of disciplines, including engineering, physics, biology, economics, and finance. Differential equations have long served as fundamental tools for modeling continuous systems and processes, offering powerful insights into the behavior of natural and man-made phenomena. For example, they describe how heat diffuses through materials, how populations grow in …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 1–6 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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Algorithmic Encryption of Natural Numbers Based on the Collatz Conjecture
Abstract: This paper creates an encryption technique based on the well-known unresolved mathematical problem known as the Collatz conjecture. This conjecture states that every natural number larger than one eventually lowers to one by a set of precise procedures called the Collatz sequence. The study’s methodology associates these sequences’ terms with the Turkish alphabet’s letters. The Collatz transformation is applied to the integer that corresponds to each letter. The words created …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 6–11 Read article
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Molecular Transport Kinetics of Non-Polar Solvents Through AGNP Filled EPDM Elastomeric Composites
Abstract: EPDM Based rubber composites can be used in tank and pipe lining works. In these applications one of the major requirements is that the composite must have good fluid permeability and chemical degradation resistances in their working environment. In order to enhance the performance of EPDM rubber to suit these applications, scientists and engineers are trying to develop novel nanocomposites by incorporating nano fillers. In the present work, to ensure …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 993–1006 Read article
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First Order Sliding Mode Control of Coupled Tank System
Abstract: This paper investigates the challenging problem of liquid level control in Coupled Tank Systems (CTS). CTS, characterized by its nonlinear behaviour and sensitivity to disturbances, presents significant control challenges. This report suggests and assesses several control measures to solve these problems. Mathematical models are developed to capture the system's nonlinear dynamics, and controllers such as Proportional-Integral (PI) and Sliding Mode Controllers (SMC) are designed. The PI controller effectively regulates the …
Published in Trends in Electrical Engineering · Vol. 14, Issue 3, 2024 Read article
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Numerical Study of Natural Convection Heat Transfer in Porous Particles Through Composite Filters
Abstract: The study of heat transmission through porous materials within the confines of reactor configurations stands as a pivotal realm of inquiry in the realms of engineering and the applied sciences, possessing wide-ranging applications spanning from soil mechanics to the refinement of heat exchange systems. Porous substances, distinguished by their interconnected voids or interstices, present an array of reactor forms that profoundly shape the flow of fluids and the conveyance of …
Published in Journal of Polymer & Composites · Vol. 13, Issue 2, 2025 · pp. 268–279 Read article
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Numerical Investigation of AA5053 Through Equal Channel Angular Pressing Technique: An Overview
Abstract: Equal channel angular pressing is recognized as the predominant method for bulk severe plastic deformation processing and has been employed for refining the grain structure in numerous metals and alloys. This study utilized finite element analysis to examine the processing of metallic billets through simple shear deformation. For the study, the die channel angle was chosen based on achieving the minimum energy consumption to induce maximum uniform strain. Among the …
Published in Trends in Machine design · Vol. 12, Issue 3, 2025 · pp. 40–47 Read article
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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 invers 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 Read article
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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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Optimization of Biohybrid Polymer Synthesis Using Fuzzy Inference Systems
Abstract: This investigation proposes a methodology to optimize biohybrid polymer synthesis using fuzzy inference systems (FIS). The study combines fuzzy logic principles with mathematical calculations for finding the best synthesis parameters to enhance the synthesis quality. This study consists on a sample about the use of FIS on optimisation of polymer synthesis, where they show the process of fuzzification, rule base creation, inference mechanism and defuzzification using the centroid method through …
Published in Journal of Polymer & Composites · Vol. 12, Issue 5, 2024 · pp. 36–47 Read article
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Intimate Mappings in Interval-Valued Fuzzy Metric Space: A Few Fixed-Point Findings
Abstract: The purpose of this study is to extend some previously established fixed point results for interval valued fuzzy metric space. For this objective, various contractive criteria with respect to an intimate mapping are applied. We employ intimate mapping in interval valued fuzzy metric space (IVFMS) to validate some well-known fixed point results. Our findings complement and generalize the recent findings of the common fixed point theorem for intimate mapping. The …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 16–23 Read article
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Physics-Informed Generative and Tensor-Based Framework for DNA Sequence Simulation and Genomic Structure Discovery
Abstract: In this paper, we explore the intersection of artificial intelligence (AI) and mathematical physics to propose advanced methods for DNA sequence generation and analysis. Specifically, we investigate how physics-informed Generative Adversarial Networks (GANs) and tensor network representations can be harnessed to restructure DNA for applications in genetic science. The proposed methodology offers a unique integration of concepts of thermodynamic modeling with innovative GAN architecture in order to allow the creation …
Published in Research & Reviews: A Journal of Bioinformatics · Vol. 13, Issue 2, 2026 Read article
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A Survey on the Evolution of AI (Artificial Intelligence) and Robotics
Abstract: This is the age of new technology and gadgets to improve the livelihood of human beings in aspects of every manner while arranging the host of facilities for every task related to our daily lifestyle. To improve the machine and their working manner smartly only programming is not enough it takes a lot more than just programming and here the implementation of AI tools takes place to improve the quality, …
Published in Journal of Advancements in Robotics · Vol. 11, Issue 3, 2024 · pp. 10–17 Read article