Search
166 articles for “equations”
-
Analytical Method Development and Validation for Simultaneous Estimation of Paracetamol and Piroxicam by UV Method
Abstract: A new establishment and validation of a simple, precise, accurate and cost effective UV-Visible spectrophotometric method was developed to estimate both Paracetamol and Piroxicam simultaneously in conjoined pharmaceutical dosage forms. This technique was founded on simultaneous equation method of absorbances recorded at 252.0 nm and 282.0 nm of Paracetamol and Piroxicam in methanol respectively and an isosbestic point could be observed at 265.0 nm. It showed very good linearity over …
Published in Research & Reviews: A Journal of Drug Formulation, Development and Production · Vol. 12, Issue 3, 2025 · pp. 14–21 Read article
-
Study of Proximity Points and Fixed Points
Abstract: This paper explores the concepts of proximity points and fixed points, which are fundamental in mathematical analysis and nonlinear functional analysis. Fixed-point theorems play a crucial role in optimization, game theory, differential equations, and dynamic systems. Proximity points, an extension of fixed points, provide a more generalized approach, allowing near-coincidence rather than exact identity. The study discusses classical fixed-point theorems, such as Banach’s contraction principle, Brouwer’s fixed-point theorem, and Schauder’s …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 28–31 Read article
-
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
-
Extended Fixed Point Theorems in Menger PM-Type Spaces: Generalized Auxiliary Functions and Contractivity Conditions
Abstract: Background: Fixed point theory in probabilistic metric spaces, particularly Menger spaces, has been a subject of intensive research due to its applications in nonlinear analysis and mathematical modeling. Traditional approaches often impose restrictive constraints on the defining properties of Menger spaces and limit the class of auxiliary functions in contractivity conditions Methods: We extend recent fixed point theorems in Menger spaces by: (1) introducing the notion of Menger PM-type spaces …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 1–6 Read article
-
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
-
Mathematical Modeling of Tumor Growth and Immune System Interaction Incorporating Time Delays and Suppression Effects for Tumor Control
Abstract: Cancer growth is a complex biological process influenced by various factors, including the dynamic interaction between tumor cells and the host immune system. Mathematical modeling serves as a powerful tool to understand these interactions and predict the outcomes of different therapeutic strategies. This study presents a mathematical framework that captures the essential dynamics of tumor-immune interactions, specifically incorporating the effects of time delay and immune suppression mechanisms. Time delay accounts …
Published in Research and Reviews : A Journal of Immunology · Vol. 15, Issue 3, 2025 · pp. 25–34 Read article
-
The Mediating Role of Label Trust in Shaping Green Purchase Attitudes Among Young Consumers: Sustainable Chemical Transparency in FMCG Packaging
Abstract: This study looks at the function of Perceived Chemical Transparency (PCT) in influencing consumers' Green Purchase Attitude (GPA) in the Fast-Moving Consumer Goods (FMCG) sector, with Label Trust (LT) serving as a significant mediating factor and Environmental Concern (EC) acting as a direct predictor. Based on the Theory of Planned Behavior and Signaling Theory, the study hypothesizes that clear disclosure of chemical and polymer-related information increases trust in eco-labels and …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 1308–1319 Read article
-
Numerical Analysis of Straight Wire and Helical Wire wrap 2x2 Rod Bundle with Supercritical Water
Abstract: Investigations using computational fluid dynamics (CFD) have been conducted on a 2x2 rod bundle that has been wrapped with both straight and helical spacer wires. The bundle has been wrapped with both types of spacer wires. There have been investigations conducted in this regard. The wires that have been coiled have been wrapped around another rod bundle that has been looped around them. An examination and investigation into the employment …
Published in Journal of Nuclear Engineering & Technology · Vol. 15, Issue 3, 2025 · pp. 1–5 Read article
-
Safety of Structure
Abstract: The thickness of structural components is a vital factor in ensuring their durability and stability under various load conditions. In this study, the material thickness is first determined through the application of bending equations, which are used to analyze regions where bending forces are most significant. The bending stress generated by external loads is considered to calculate the required thickness to prevent failure under such stresses. Additionally, the effect of …
Published in Journal of Industrial Safety Engineering · Vol. 12, Issue 1, 2025 · pp. 1–11 Read article
-
Microvita: A New Hybrid Particle Bridging the Fermionic and Bosonic Domains in Particle Physics
Abstract: In particle physics, the established classification of particles into fermions and bosons—obeying Fermi-Dirac and Bose-Einstein statistics, respectively—has shaped theoretical and experimental frameworks for nearly a century. This study introduces 'Microvita', a novel theoretical particle that exhibits hybrid characteristics modulated by a continuous parameter α ∈ [0,1]. Through this parameter, Microvita interpolates between bosonic and fermionic behavior in terms of spin, statistical distributions, and operator algebra. We explore the foundational algebra …
Published in Research & Reviews : Journal of Physics · Vol. 15, Issue 1, 2026 · pp. 14–27 Read article
-
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
-
Emerging Trends in Interdisciplinary Perspectives and Future Frontiers in Modern Symmetry
Abstract: Symmetry, long recognized as a cornerstone of the natural sciences, has increasingly found relevance across a variety of disciplines, from physics and mathematics to economics, architecture, and systems theory. This interdisciplinary review explores the expanding role of symmetry as a conceptual and analytical tool, highlighting its applications in diverse fields. In classical and quantum physics, symmetry principles form the foundation for conservation laws, particle interactions, and field equations. In economics …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 26–30 Read article
-
Biophysical Properties and Spin Transport in Hemoglobin, Heme Along the Easy Magnetic Fe-N Symmetric Axis
Abstract: Many physical processes that take place in human and animal hemoglobin are associated with a transport of minerals, air, charge carriers, ions, and spin. They are greatly influenced by external electric and magnetic fields, the concentration of mineral intake, pH value, thermal conditions, and the structure of hemoglobin. In this research, emphasis is given to spin transport in hemoglobin, where a weak spin transport is noticed. In order to clarify …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 3, 2025 · pp. 45–62 Read article
-
The Characteristics of Square-Well Fluid Transport Coefficients
Abstract: The transport coefficients of the hard-sphere system were first computed by Alder, providing foundational insight into the microscopic origins of viscosity, diffusion, and thermal conductivity in simple fluids. Building on this framework, Evans derived a generalized Langevin equation to describe the time evolution of dynamical variables, incorporating memory effects and non-Markovian behavior in molecular motion. These theoretical developments established a bridge between microscopic interactions and macroscopic transport properties. When an …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 3, 2025 · pp. 33–44 Read article
-
Flexural Vibration of Non-Uniform Beam on Bi-Parametric Foundation Under Harmonic Moving Load with Non-Classical Boundary Conditions
Abstract: The dynamic response to harmonically varying moving loads of non-uniform elastic beam resting on bi-parametric foundation with non-classical boundary condition, time dependent in particular is examined in this paper. Here, the beam is considered non-uniform, with the moment of inertia and the distributed mass varying continuously along the span L as functions of the position 𝑥. In order to guarantee a more stable structure and a reduce risk of resonance, …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 2, 2025 · pp. 28–42 Read article
-
Advanced Lithium-Ion Battery Prognostics: A Comprehensive Review of Machine Learning Approaches for Remaining Useful Life Prediction
Abstract: The lithium-ion battery (LIB), as one of the main sources for portable power systems, has been increasingly popular owing to its widespread applications in electric vehicles, consumer electronics, aerospace and renewable energy. Despite their advantages in high energy density and long cycle life, LIBs suffer from degradation over time of aging and cycling, resulting in loss of performance, safety issues, and economic bottlenecks. Predicting their Remaining Useful Life (RUL) is …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 2, 2025 · pp. 12–27 Read article
-
Analysis of Simply Supported and Clamped-Clamped Beam Resting on a Pasternak Foundation Subjected to Moving Load with a Damping Term
Abstract: A comparative analysis of simply supported and clamped-clamped Bernoulli-Euler beams resting on a Pasternak foundation under the action of a concentrated moving load with a damping term, when the inertia effect of the moving load is considered in its analysis, was investigated in this study. The governing equation was solved by representing the Dirac delta function through a Fourier cosine series and applying a combination of analytical techniques, including the …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 3, 2025 · pp. 42–59 Read article
-
Modelling and Control of Grid-Connected PV–Battery Hybrid System Using Dynamic Voltage Restorer for Enhanced Power Quality
Abstract: The integration of large-scale photovoltaic (PV) systems into modern power grids introduces significant challenges in maintaining power quality, including voltage sags, swells, and harmonics. To address these issues, this study presents a comprehensive modelling and control framework for a grid-connected PV–Battery hybrid system equipped with a Dynamic Voltage Restorer (DVR). The PV array is modelled using detailed mathematical equations, while the DC–DC converter incorporates advanced Maximum Power Point Tracking (MPPT) …
Published in International Journal of Electrical Power and Machine Systems · Vol. 3, Issue 2, 2025 · pp. 43–58 Read article
-
Polymeric Coating Applied for Corrosion Protection of Mild Steel in Corrosive Medium
Abstract: Mild steel is coated with a polymer layer of polybutadiene for protection. However, this coating does not effectively safeguard the metal in environments containing moisture, sulphur dioxide, or chloride. These pollutants interact with the polybutadiene-coated surface, creating a highly corrosive atmosphere. Moisture condenses on the coated metal surface and absorbs sulphur dioxide, forming sulphuric acid. This acid initiates both chemical and electrochemical reactions with the polymer-coated metal, accelerating the corrosion …
Published in International Journal of Advance in Molecular Engineering · Vol. 3, Issue 2, 2025 · pp. 49–53 Read article
-
Assessing Nanomaterial Toxicity and Environmental Behavior: Toward Sustainable and Safe Nanotechnology
Abstract: The rapid advancement of nanotechnology has introduced engineered nanomaterials into diverse sectors including medicine, agriculture, electronics, and consumer products. However, the unique physicochemical properties that make nanomaterials valuable also raise significant concerns about their potential toxicity to human health and ecological systems. This study presents a comprehensive survey-based analysis of 400 respondents from diverse professional backgrounds across seven countries to assess perceptions and understanding of nanomaterial toxicity mechanisms and environmental …
Published in Nano Trends – A Journal of Nano Technology & Its Applications · Vol. 28, Issue 1, 2025 · pp. 1–11 Read article