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86 articles for “approximate methods”
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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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Optimal Homotopy Analysis Method (OHAM) For the Approximate Series Solution of Non-linear Partial Differential Equation
Abstract: In this article, we have used the Optimal Homotopy Analysis Method (OHAM), which is a basically semi-analytic method to solve differential equations. The ability for the user to choose the convergence control parameter, auxiliary linear operator, auxiliary function, and starting approximation is what sets apart the OHAM technique. We guaranteed the efficacy and efficiency of the procedure by fine-tuning the convergence control parameter. We solved a non-linear partial differential equation …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Resilient Shell-Based Frameworks for Edge and IoT Systems: A Comprehensive Analysis of Lightweight Automation in Distributed Environments
Abstract: Edge computing and Internet of Things (IoT) deployments require automation solutions that minimize resource use while supporting real-time processing and intermittent connectivity. This study investigates shell-based frameworks for managing distributed edge and IoT systems, with emphasis on sensor integration, live monitoring, and fault recovery. Drawing from 200 real-world deployment cases across smart city, healthcare, and industrial domains, the analysis compares shell scripting directly against containerized approaches (e.g., Docker with lightweight …
Published in Journal of Advances in Shell Programming · Vol. 13, Issue 1, 2026 · pp. 01–07 Read article
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Study on the Method of Prediction of Complete Inflation Time of Parachute
Abstract: In general, the parachute test is a long test period, expensive, and difficult to measure with accuracy, which makes it a very laborious and laborious task due to the strong nonlinearity of the fabric of the parachute. Therefore, attempts have been made to overcome this by using a parachute testbed or by simulation, but in our country, there is no numerical simulation of the parachute, and no research has been …
Published in Trends in Mechanical Engineering & Technology · Vol. 15, Issue 1, 2025 · pp. 25–31 Read article
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Modelling of Large Elasto-plastic Deformations by EFGM
Abstract: Current work reports modelling and simulation of geometric and material nonlinearities arising due large elasto-plastic displacements in structural specimens by invoking enriched element free Galerkin method (EFGM). The displacement approximations are constructed by using moving least square approach. Standard displacement based approximations are modified by incorporating suitable enrichment functions depending on the nature of interfaces present in the components. Large deformations give rise to geometric nonlinearities which have been modelled …
Published in Journal of Polymer & Composites · Vol. 12, Issue 2, 2024 · pp. 130–143 Read article
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Analysis of Field Distribution in Optical Fibre Using FEM Method
Abstract: The application of the linear Finite Element Method (FEM) to the analysis of the field distribution in optical fibres is examined in this work. Characterizing fibre characteristics like mode profiles, propagation constants, and dispersion, all of which are critical for maximizing fibre performance in a variety of applications like sensing and telecommunications, requires an understanding of the distribution of electric and magnetic fields. In order to accurately determine the modal …
Published in Trends in Opto-electro & Optical Communication · Vol. 15, Issue 2, 2025 · pp. 31–40 Read article
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Revolutionizing Optical Fibre Field Distribution with Linear Finite Element Method
Abstract: This study investigates the use of the linear Finite Element Method (FEM) for the analysis of the field distribution in optical fibres. Understanding the distribution of electric and magnetic fields is necessary to characterise fibre properties including mode profiles, propagation constants, and dispersion, all of which are essential for optimising fibre performance in a range of applications like sensing and telecommunications. This study emphasises on applying a linear FEM formulation …
Published in Trends in Opto-electro & Optical Communication · Vol. 15, Issue 3, 2025 · pp. 32–42 Read article
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Structural, Electronic and Optical Properties of ZnO Material Using First Principle Calculation
Abstract: Structural, electronic and optical properties have been determined by using first principle calculation for ZnO material. In present study, full potential linearized augmented plane wave method has been selected with generalised gradient approximation executed in WIEN2k. Structure of ZnO material stabilises in the Wurtzite form of hexagonal closed packed crystal with lattice constant a=3.289Å, c= 5.307Å. Density of states and band structure diagram of ZnO material shows semiconductor nature with …
Published in Journal of Polymer & Composites · Vol. 11, Issue 5, 2023 · pp. 27–34 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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Electroplating and Corrosion Properties of Binary and Ternary Zinc Alloys with Nickel, Cobalt and Iron
Abstract: The anti-corrosive three binary (Zn-Ni, Zn-Co, Zn-Fe) and two ternary (Zn-Ni-Co, Zn-Co-Fe) alloy coating films on mild steel from acid chloride bath using sulphanilic acid and gelatin as additives for the electroplating technique. The normal Hull cell method was used to optimize the bath compositions, temperature and pH of the bath solutions for coating performance against corrosion. The cause of current density (CD) on metal weight percentage (M = Ni, …
Published in Journal of Thin Films, Coating Science Technology & Application Read article
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Thermodynamic Optimization and Exergy-Based Performance Analysis of Hybrid Thermal Management Systems for Electric Vehicles
Abstract: The transition toward sustainable transportation has brought electric vehicles (EVs) to the forefront of modern engineering innovation. Despite their environmental benefits and improved energy efficiency, EVs face major thermal challenges that affect performance, safety, and durability. Efficient thermal management of batteries, power electronics, and electric drive systems is vital to ensure reliability under diverse operating conditions. This study presents a detailed thermodynamic optimization and exergy-based performance analysis of hybrid thermal …
Published in International Journal of Energy and Thermal Applications · Vol. 3, Issue 2, 2025 · pp. 19–23 Read article
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Bias Detection and Accuracy Enhancement in Voice-based Banking Authentication Using Deep Learning
Abstract: Biometric systems have become an integral part of how many people access banking services today, and voice verification systems can be a secure and easy-to-use source of banking authentication that does not require any physical contact with the bank or any other person. From the security perspective, these systems would normally provide an effective means of identifying an individual but frequently exhibit bias with respect to demographics such as the …
Published in International Journal of Information Security Engineering · Vol. 4, Issue 2, 2026 Read article
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Evaluation Of the Quality of Sleep in Healthy Individuals Based on Practice of (CYP)- A Pilot Study.
Abstract: Introduction-Sleep is basic requirement of all living beings. Specially, in human beings it is considered as one of the supportive factor of existence. Ahara(food), Nidra(sleep) and Bramhacharya(righteous conduct/celibacy) are the three factors explained in classical texts as Traya Upastambha(Tripods). Not only Ayurveda literatures, its description and importance is available in Upanishads too. Mandukya Upanishad has allotted a full chapter on sleep and consciousness. But, as the era has entered into …
Published in Research and Reviews : A Journal of Ayurvedic Science, Yoga and Naturopathy · Vol. 11, Issue 1, 2024 · pp. 40–47 Read article
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Gene prioritization of colorectal cancer using computational approach
Abstract: Colorectal cancer (CRC) continues to be a major worldwide health issue, underscoring the need to pinpoint crucial genetic elements influencing its initiation and advancement. In this investigation, we utilize sophisticated computational methods to prioritize potential genes linked to CRC development. Through the utilization of various bioinformatics tools and comprehensive methodologies, we systematically examine extensive microarray datasets to identify potential genetic contributors. Initially, a vast amount of CRC microarray data (approximately …
Published in International Journal of Bioinformatics and Computational Biology · Vol. 2, Issue 1, 2024 · pp. 39–52 Read article
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Wear and Tribological Characteristics of Novel Metal Matrix Composites
Abstract: The development of advanced metal matrix composites (MMCs) with enhanced tribological performance has become increasingly important due to the premature failure of critical engineering components operating under severe wear conditions in automotive, aerospace, marine, defense, and power generation systems. Conventional composites such as Copper–Alumina and Aluminium–Silicon Carbide have demonstrated improved mechanical and wear characteristics; however, their widespread application is often limited by issues including particle agglomeration, non-uniform reinforcement distribution, porosity …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 1326–1346 Read article
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A Systematic Review on Factors Contributing to Infertility
Abstract: Infertility is a multifactorial reproductive health condition affecting approximately 10–15% of couples worldwide and continues to represent a major clinical and social challenge. Despite substantial advances in assisted reproductive technologies, diagnostic methods, and therapeutic interventions, many couples still face difficulties in achieving pregnancy. The impact of infertility extends beyond physical health, often leading to emotional distress, social pressure, and financial burdens, especially in societies where parenthood is highly valued. Consequently, …
Published in International Journal of Tropical Medicines · Vol. 3, Issue 1, 2026 · pp. 31–35 Read article
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Numerical Solution of Ordinary Differential Equation and Solution of Partial Differential Equation
Abstract: This research paper explores the fundamental role of various mathematical concepts in engineering and scientific fields like aerospace engineering, materials science, software development, and the energy sector. We delve into the applications of solving algebraic and transcendental equations, finite difference interpolation, numerical methods, solutions to ordinary differential equations (ODEs), and numerical solutions to partial differential equations (PDEs). By examining their applications in these diverse fields, we illustrate the critical importance …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 12–20 Read article
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AI-Assisted Optimization of Supersonic Airfoil Shapes Using CFD Coupling
Abstract: This paper presents a novel framework for optimizing supersonic airfoil geometries through integrated artificial intelligence and computational fluid dynamics coupling. Traditional gradient-based optimization methods for high-speed aerodynamic shapes suffer from computational expense and convergence difficulties in non-convex design spaces. The proposed methodology employs a deep neural network surrogate model trained on high-fidelity Reynolds-Averaged Navier-Stokes solutions to approximate aerodynamic performance metrics across the design space. A hybrid particle swarm-genetic algorithm searches …
Published in Journal of Aerospace Engineering & Technology · Vol. 16, Issue 1, 2026 Read article
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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
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Design and Implementation of smart Grocery Packaging System
Abstract: The increasing demand for speed, accuracy, and cost efficiency in retail operations has accelerated the adoption of automation technologies in grocery packaging systems. Traditional grocery packaging methods rely heavily on manual labor, which often leads to errors in quantity measurement, inconsistent packaging quality, increased labor costs, and slower processing times. To address these challenges, this work presents the design and implementation of a smart automated grocery packaging system aimed specifically …
Published in Trends in Mechanical Engineering & Technology · Vol. 16, Issue 1, 2026 · pp. 46–52 Read article