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14 articles for “Numerical Diffusion”
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Real-Time Edge Detection Camera Module Using Discrete Taylor Transform and Heat Equation (PDE): An Applied Mathematical Approach
Abstract: In modern digital signal processing, the capability for denoising and smoothing in real time is very important in scientific, engineering, and industrial applications. This paper presents an efficient hybrid framework that merges two mathematically sound methods, namely, DTT and PDE defined as the Heat Equation, to robustly denoise a signal with minimal distortion. The model addresses one of the most challenging tasks in signal restoration, which maintains the fidelity of …
Published in Current Trends in Signal Processing · Vol. 16, Issue 2, 2026 Read article
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A New Computational Method for Dust and Gas Dynamics in Protoplanetary Discs
Abstract: The simultaneous evolution of dust and gas in protoplanetary discs regulates essential events in planet formation, such as dust accumulation, migration, and the initiation of gravitational instabilities. Nevertheless, precisely modelling this interaction continues to provide a significant computing problem owing to the extensive variety of spatial and temporal scales involved. In this study, we introduce an innovative computational framework for simulating dust-gas dynamics in protoplanetary discs, integrating a two-fluid hydrodynamical …
Published in International Journal of Universe · Vol. 1, Issue 2, 2025 · pp. 35–46 Read article
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“Microvita‑Inspired Informational Field Dynamics as a Nonlinear Signal‑Generation Mechanism in Matter–Life–Mind Systems”
Abstract: Recognizing how matter, life, and consciousness relate to one another continues to be among the most essential challenges faced by modern science. Contemporary physical theories successfully describe the behavior of elementary particles and large-scale cosmological structures, yet they do not fully explain the emergence of informational complexity and organized patterns observed in biological and cognitive systems. This study proposes a theoretical framework in which Microvita are interpreted as subtle informational …
Published in Current Trends in Signal Processing · Vol. 16, Issue 1, 2026 Read article
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Experimental and Simulation Study on Reduction Kinetics of Magnetite Ore by using Hydrogen
Abstract: In the present work, magnetite ore fines pellets were prepared for a study of reduction kinetics using hydrogen gas. In the present work, various parameters are investigated to assess their influence on reduction kinetics with respect to hydrogen utilisation. The different input variables influence the process, yielding the reduction fraction. The effect of temperature on reduction kinetics with hydrogen flow rate was explored for the optimum value of these parameters. …
Published in Journal of Materials & Metallurgical Engineering · Vol. 16, Issue 1, 2026 Read article
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Ensuring Pipeline Longevity: Key Factors for Durability in the Oil and Gas Industry
Abstract: This article explores the durability of pipes in the oil and gas industry, focusing on critical aspects such as remaining life, anti-wax coatings, life extension strategies, and the implications of oil spills and leaks. Corrosion is identified as a significant threat to pipeline integrity, influenced by various corrosive substances. Standards like API 581 and API 571 help assess corrosion rates and remaining life of pipelines transporting different crude oils. Additionally, …
Published in Journal of Petroleum Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 19–24 Read article
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Numerical Study and Comparison of Passive Mixing in Helical Micromixers
Abstract: A passive mixing inside three micromixers has been studied with water as the mixing fluid. Since the mixing at the micro-level is governed by species diffusion hence it is a time-consuming process that requires an extended length of micromixer for the required amount of mixing. The present study tackles this problem by introducing two helical micromixers, a Three-dimensional helical micromixer (TDHM), and TDHM having four inlets (TDHM-FO). These micromixers need …
Published in Journal of Polymer & Composites Read article
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Hybrid Numerical–Artificial Neural Network Study of Chemically Reactive MHD Nanofluid Flow Incorporating Thompson–Troian Slip and Stefan Blowing
Abstract: Boundary layer behaviour in chemically reactive nanoliquid is significantly affected by surface conditions, magnetic fields, heat and mas transfer mechanisms. However, the combined impact of Stefan blowing and nonlinear Thompson–Troian slip under inclined magnetic fields remains mostly unexplored, particularly in mixed convection flows. In this research work, the flow of a chemically reactive nanoliquid over a permeable surface is investigated by considering the Troian slip, inclined magnetic fields, Stefan blowing, …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 409–425 Read article
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Symmetry Breaking in Mathematical Models: Bifurcation, Chaos, and Pattern Formation
Abstract: Symmetry breaking serves as a central organizing principle in the understanding of nonlinear systems across physics, biology, chemistry, and engineering. When a system transitions from a symmetric state to an asymmetric configuration, it often signals the onset of new structures, dynamic behaviors, or even chaotic regimes. This review explores symmetry breaking from the theoretical and mathematical perspectives of bifurcation theory, chaos theory, and pattern formation. We discuss how small parameter …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 2, 2025 · pp. 25–30 Read article
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Properties and antimicrobial activity of bacterial nanocellulose composite incorporated with silver nanoparticles based on green synthesis
Abstract: Green silver nanoparticles (AgNPs) synthesized using medical plant extracts as capping and reducing agents demonstrate broad applicability in addressing the threat posed by infections. In this study, we present a sustainable, low-toxicity, and cost-effective bacterial nanocellulose composite with silver nanoparticles based on green synthesis that uses Origanum vulgare as a reducing agent due to numerous biological components. The formation of AgNPs in composite and morphological properties was analyzed using scanning …
Published in Journal of Polymer & Composites · Vol. 12, Issue 1, 2024 · pp. 323–328 Read article
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Coupled Magneto–Thermal–Diffusion Transport in an Unsteady Maxwell Polymer Fluid with Activation Energy over a Porous Stretching Surface
Abstract: The present study investigates the combined effects of activation energy and diffusion-thermo (Dufour) processes on unsteady magnetohydrodynamic (MHD) flow, heat, and mass transfer of a Maxwell viscoelastic fluid past a porous exponentially stretching vertical sheet. The electrically conducting and incompressible polymeric fluid flows through a saturated porous medium under a transverse magnetic field. The governing momentum, energy, and concentration equations are transformed into nonlinear ordinary differential equations using similarity transformations …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 581–590 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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Fractional Calculus-Based Analysis of Magneto-Thermal Nanofluid Flow Over Stretching and Shrinking Surfaces
Abstract: This study presents a comprehensive investigation of magneto-thermal hybrid nanofluid flow over stretching and shrinking surfaces using a fractional calculus framework to capture the memory and hereditary characteristics of complex fluid transport phenomena. The proposed model incorporates the effects of magnetic field intensity, thermal radiation, viscous dissipation, Brownian motion, and thermophoretic diffusion on the velocity and temperature distributions within the boundary layer region. A fractional-order derivative formulation is employed to …
Published in Recent Trends in Fluid Mechanics · Vol. 13, Issue 2, 2026 Read article
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Heat Transfer Performance of ZnO- Ethylene Glycol- Water Nanofluid Using Thermal Lens Technique
Abstract: Nanofluids are engineered fluids used in advanced electronic systems for thermal management. Fluids with dispersed nanoparticles have exhibited remarkable thermal properties. Ethylene glycol (EG) and water mixtures are widely used in many industrial areas. This study investigates the synthesis and heat transfer performance of ZnO-EG, ZnO-water, and ZnO-EG-water nanofluids using a dual-beam thermal lens technique. ZnO is a widely used inorganic, UV-absorbing, multifunctional semiconducting material with applications in various fields …
Published in Journal of Polymer & Composites · Vol. 13, Issue 2, 2025 · pp. 440–445 Read article
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Mathematical Modelling of Semiconductor Device Physics: An Analytical Approach
Abstract: Semiconductor device physics forms the foundation of modern electronic and optoelectronic technologies. Mathematical modelling provides a rigorous framework for understanding, predicting, and optimizing the behavior of semiconductor devices by linking physical principles with device-level performance. This work presents an analytical approach to the mathematical modelling of semiconductor devices, emphasizing the derivation and interpretation of governing equations that describe charge transport and electrostatic behavior. The model is based on fundamental physical …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 36–42 Read article