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41 articles for “Nonlinear mathematical modelling”
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Numerical Investigation of Slip Conditions in Nanofluid Flow Induced by a Nonlinearly Stretching Sheet: A bvp4c Approach
Abstract: The present work describes a numerical analysis of the steady, laminar flow over a nonlinear stretching sheet in a nanofluid medium. Slip conditions in terms of velocity, temperature, and concentration have been introduced into the mathematical model to capture the impact of interfacial mass transfer on the stretching surface. The problem is modeled to include nanoparticle transportation in terms of Brownian diffusion and thermophoresis, thereby affecting the temperature and concentration …
Published in Recent Trends in Fluid Mechanics · Vol. 13, Issue 2, 2026 · pp. 34–51 Read article
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ANN-Based Adaptive Rotor Current Control for DFIG Wind Systems: A Comparative Dynamic Analysis
Abstract: The variability of rotor current management in Doubly Fed Induction Generator (DFIG)-based wind energy conversion systems is crucial for maintaining stability in power extraction under fluctuating wind and grid circumstances. Traditional proportional-integral (PI) controllers, despite their ease of use, frequently exhibit diminished performance when faced with parameter uncertainty, nonlinear behaviors, and rapid wind fluctuations.This paper presents an adaptive rotor current control strategy, which is an Artificial Neural Network (ANN)-based approach …
Published in Journal of Power Electronics and Power Systems · Vol. 16, Issue 1, 2026 · pp. 41–53 Read article
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Deploying Fuzzy Logic for Self-Tuning Regulator Design for Motion Control in Modern Electrical Machines
Abstract: Modern electrical machines require sophisticated motion control systems capable of adapting to varying operating conditions, load disturbances, and parameter uncertainties. Traditional self-tuning regulators (STR) based on classical control theory often struggle with nonlinearities, time-varying dynamics, and complex operational environments characteristic of contemporary electric drives. This article presents a comprehensive framework for deploying fuzzy logic in self-tuning regulator design to address these challenges in motion control applications. Fuzzy logic controllers leverage …
Published in International Journal of Electrical Machine Analysis and Design · Vol. 3, Issue 2, 2025 · pp. 11–21 Read article
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Estimation of Burger Model Parameters by Inverse Analysis of Oedometer Data
Abstract: Contrary to the forward analysis, inverse analysis can be effectively utilized to determine the parameters of a constitutive model commonly used to represent the stress-strain-time behavior or the load-deformation-time behavior of the soil. This paper reports the development of a generalized inverse analysis formulation for the parameter estimation of four-parameter Burger model. The analysis is carried out by formulating the problem as that of mathematical programming in terms of identification …
Published in Recent Trends in Civil Engineering & Technology · Vol. 2, Issue 1-3, 2012 · pp. 37–54 Read article
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Role of Prey Refuge in Predator-Prey Dynamics with Nonlinear Functional Responses: A Mathematical Approach
Abstract: The Beddington-DeAnglis and Holling type II functional response with prey refuge are used in this study to propose and assess a prey-predator system. This study looks at the ecological effects of prey refuge and how it affects predator-prey relationships, highlighting how functional responses influence population dynamics. The dynamical behavior of the model has been shown, which consist the existence of positivity, boundedness, local stability, and global stability. In addition, stability …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 523–537 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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Comparison of Mamdani and Sugeno Fuzzy Inference Systems for a Three Tank Level Control System
Abstract: The level control of a three tank system has become a research focus due to the nonlinear process and multivariables. It is well known that the conventional controllers are suitable to control linear processes and their design is based on the exact mathematical model. In this paper, we developed a mathematical model for a three tank system and proposed an effective controller design based on fuzzy logic by which more …
Published in Journal of Control & Instrumentation · Vol. 5, Issue 2, 2014 · pp. 14–20 Read article
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Animated Transient Response of High Voltage Power Line Towers Equipped with Nonlinear Footing Resistances
Abstract: This study focuses, among other objectives, on the use of animation techniques for visualizing the electromagnetic transients in high voltage power line towers. The model includes parameters such as the tower’s footing resistance and its location-dependent surge impedance. It describes the governing algebraic/partial differential equations expressed in terms of the current and voltage distributions as functions of time and location. The transients are assumed initiated by a lightning discharge of …
Published in Trends in Electrical Engineering · Vol. 14, Issue 1, 2024 · pp. 44–52 Read article
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Effect of Risk Priority Number Values for Multiple Effects in Maintenance Optimization
Abstract: In this paper, authors describe an optimization framework for finding optimal maintenance policies in continuous process operations and analyze and quantify the reaction of different variables on optimal maintenance schedules. A necessary idea behind maintenance optimization is that of life-cycle costing, where the total cost of design, building, maintenance, is considered over the entire life span of the system or structure in question. The system’s effectiveness measure is introduced which …
Published in Trends in Mechanical Engineering & Technology · Vol. 2, Issue 2, 2012 · pp. 1–5 Read article
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AI-integrated Responsive Polymer Composites for Controlled Drug Delivery
Abstract: In the current biomedical engineering, it has been established that the development of smart drug delivery systems has become a paramount of relevance especially in ensuring precise, controlled and targeted therapeutic effects. This paper proposes a responsive polymer composite architecture with built-in AI, which is used to deliver drugs in a controlled manner and involves the development of advanced material design and predictive modeling based on data. Biocompatible materials and …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 Read article
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Mathematical Derivation and Stability Analysis of a Coupled Neutron Kinetics–Thermal Feedback Model for Nuclear Reactor Safety
Abstract: Nuclear reactor safety assessment requires accurate characterization of the coupled interaction between neutron population dynamics and thermal feedback during steady-state operation and transient conditions. This study develops a mathematically derived coupled neutron kinetics–thermal feedback model for analysing reactor stability and transient behaviour. The formulation integrates point reactor kinetics with delayed-neutron precursor dynamics, fuel-temperature evolution, coolant- temperature variation, and temperature-dependent reactivity feedback. The reactor is represented as a nonlinear dynamical system …
Published in Journal of Nuclear Engineering & Technology · Vol. 16, Issue 2, 2026 Read article
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Mathematical Modeling and Multi-Objective Optimization of RIS-Assisted 6G Wireless Communication Systems
Abstract: Reconfigurable Intelligent Surfaces (RIS) have become a potential technology for sixth generation (6G) wireless communication because they improve network coverage, spectrum efficiency, and energy efficiency while allowing programmable control of electromagnetic propagation. This study presents a comprehensive mathematical modeling and multi-objective optimization framework for RIS-assisted 6G wireless communication systems. The proposed model jointly considers the wireless channel, RIS reflection coefficients, transmit power, beamforming vectors, user association, achievable data rate, energy …
Published in Recent Trends in Electronics Communication Systems · Vol. 13, Issue 2, 2026 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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Extended Kalman Filter Application For Launch Vehicle Trajectory
Abstract: Real time applications have been implemented out of intuitive modeling but due to inefficient estimation techniques there were deviations in the results from expected processes. To avoid these deviations for better performance modeling, many mathematical state estimation methods are in use. This paper focuses on a state estimation method for monitoring and control of a real time system. The existing models for state estimation, as well as the challenges associated …
Published in Journal of Control & Instrumentation · Vol. 3, Issue 1-3, 2012 · pp. 41–49 Read article
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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
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(𝛅,Ü ) Convex Structure on Partial B-Metric Space Concerning Quasi Contraction and Fixed-Point Results
Abstract: This work introduces the concept of (δ,Ü )– Convex Partial b-Metric Spaces using convex structure. Motivated by this approach, we demonstrated fixed point results and their uniqueness, as well as quasi contraction, and provided some supporting instances for the established results. Our findings expand prior fixed-point results to a novel concept (δ,Ü )– Convex Partial b-Metric Spaces. To support our theoretical findings, we provide several instances that exemplify the established …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 24–34 Read article
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A Method of Mesh Deformation for Flow Analysis Around Oscillating Bodies
Abstract: In general, high-speed rotating machines are subjected to complex phenomena due to various reasons, such as increased noise and strong vibration due to dynamic unbalance, which affect the dynamic motion of rotating machines and are necessarily a problem to overcome. Therefore, it is necessary to have a mathematical model to simulate it, and a strong tool to solve the constructed model. Using fluid-structure coupling techniques, which are currently a powerful …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 2, 2025 · pp. 35–42 Read article
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A Novel Mathematical Exploration of Fractal Dynamics in Hyperbolic Spaces
Abstract: This research paper presents an original study on the behavior, generation, and properties of fractal structures within hyperbolic geometry. Unlike classical Euclidean fractals, hyperbolic fractals demonstrate accelerated boundary complexity and distinct scaling symmetries due to the curvature of the underlying space. The paper proposes new iterative models, analyzes geometric invariants, and explores potential applications in data visualization, network science, and theoretical physics. This research paper conducts an in-depth investigation into …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 1–7 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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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