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116 articles for “differential equation”
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Electromagnetic Transients in Strongly Non-Uniform Overhead High Voltage Lines
Abstract: This paper addresses the electromagnetic transients in high strongly non-uniform overhead voltage lines. For their simulation, a novel Laplace-domain approach has been introduced. The voltage and current patterns in terms of location and complex frequency are determined by a set of simultaneous algebraic and partial differential equations. To solve them numerically, an effective Mathematica code is proposed. By contrasting the outcomes of their application to multiple case studies with those …
Published in Journal of Power Electronics and Power Systems · Vol. 15, Issue 1, 2025 · pp. 30–36 Read article
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Analysis and Application of Mathematical Modeling in Malaria Disease Control
Abstract: In this paper, we develop a mathematical model to analyze malaria transmission dynamics, as malaria is an infectious disease caused by the spread of progenitor parasites to humans through the bite of the female Anopheles mosquito. Mathematical models have long served as a framework for understanding and managing the impact of malaria, which has affected populations for over a century. Our model incorporates infected individuals who may recover and later …
Published in Research & Reviews : Journal of Statistics · Vol. 14, Issue 2, 2025 · pp. 19–25 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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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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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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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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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
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A Study of Fixed-Point and Best Proximity Point
Abstract: Fixed-point theory plays a fundamental role in nonlinear analysis and has significant applications in optimization, differential equations, and applied mathematics. This study investigates the existence and properties of fixed points and best proximity points for various classes of mappings defined on metric and normed spaces. While fixed-point results guarantee the existence of a point that remains invariant under a given mapping, such points may not exist when the mapping is …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 28–39 Read article
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A Sustainable EOQ Model for Declining Products Incorporating Cubic Demand, Variable Deterioration, Partial Backlogging, and Carbon Emission Optimization
Abstract: In this paper proposes a sustainable Economic Order Quantity (EOQ) model for inventory systems involving decaying items under cubic time-dependent demand, variable decaying rates, and partial backlogging while absolutely considering carbon emission costs. The model reflects practical market actions where demand initially increases and afterwards declines over time, and decay depends on the age of the item. To demonstrate the current model's applicability as well as evaluate the trade-off between …
Published in International Journal of Industrial and Product Design Engineering · Vol. 4, Issue 1, 2026 · pp. 20–28 Read article
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Quasar: Quantum-Accelerated Sustainable Anomaly Recognition in Climate Systems
Abstract: Accurate detection of climate anomalies is vital for disaster alleviation and policy making in a sustainable manner, but customary detection methods face the challenges of computational inefficiency and physical inconsistency. In this study, we propose a novel approach called Quantum-Optimized Fuzzy Physics-Informed Neural Networks (QFuzzy-PINNs), which integrates quantum computing, fuzzy logic, and physics-informed deep learning. As a first step, we employ quantum annealing for conventional optimization to adjust multiple Gaussian …
Published in International Journal of Climate Conditions · Vol. 2, Issue 2, 2025 · pp. 18–27 Read article
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Adaptive Robust Constraint-Based Nonlinear Control for Trajectory Tracking and Dynamic Obstacle Avoidance in Multi-copter UAVs
Abstract: An adaptive robust nonlinear control system for multi-copter unmanned aerial vehicles (UAVs) trajectory tracking and obstacle avoidance is presented in this research. The suggested approach addresses nonlinear dynamics and environmental uncertainties by combining adaptive disturbance estimates with constraint-based control. Nonlinear differential equations are used to simulate the motion of the UAV, with obstacle avoidance represented as an inequality constraint and trajectory tracking as an equality constraint. The Udwadia–Kalaba method is …
Published in International Journal on Drones · Vol. 2, Issue 2, 2026 · pp. 01–08 Read article
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Estimation Techniques in Image Restoration - A Survey Approach
Abstract: In the present paper a comparative study of various estimation techniques based on neural network, MATLAB, partial differential equation (PDE) and other proposed models for image restoration are been discussed. An image may be distorted, noisy or blurred and not suitable for extracting desired information or data, so it needs to be restored for desired application. Image restoration techniques are oriented towards modeling the degradation, blur and noise and applying …
Published in Current Trends in Signal Processing · Vol. 4, Issue 1, 2014 · pp. 11–16 Read article
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Blind Separation of Instantaneous Mixtures of Sources Using Stochastic Calculus
Abstract: Stochastic calculus methods are used to estimate the Nonstationary components of a linear mixture. Each component in the mixture is assumed to follow a stochastic differential equation with some unknown parameters. The estimation of the stochastic process parameters and the estimation of the unknown amplitudes of the mixture matrix, through Girsanov theory, will generate a stochastic equation for each unknown process. Several examples are given, and a comparison to existing …
Published in Current Trends in Signal Processing · Vol. 2, Issue 1-3, 2012 · pp. 26–48 Read article
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Isogeometric Topology Optimization of Continuum Structures using Evolutionary Algorithms
Abstract: Isogeometric analysis is a popular method for the analysis of problems involving complex geometry and governed by differential equations. Meta-heuristics are widely used to determine the optimum distribution of material within the given design domain. The focus of this study is to perform isogeometric topology optimization of continuum structures using meta-heuristics nature inspired firefly algorithm. NURBS basis functions are used to construct the geometric model and to calculate the displacements …
Published in Journal of Experimental & Applied Mechanics · Vol. 8, Issue 3, 2017 · pp. 8–18 Read article
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Design and Analysis of Single Angle Expanding Collets
Abstract: The subject of production deals with the use of fixtures that ensures repeatability to the work piece to be manufactured. The fixture is clamping device that mounts parts at a perfect location and gives stability, which leads to mass production. Thus types of clamping play a decisive role in getting the good reliability of the product. Collet is one of the clamping devices which have long slits around its periphery, …
Published in Journal of Experimental & Applied Mechanics · Vol. 8, Issue 2, 2017 · pp. 1–12 Read article
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Numerical Modeling of Elastoviscoplastic Material Model in Strain Space
Abstract: Conventional material non-linear analysis works with stress-space plasticity. It uses yield function, loading-unloading criteria, and flow rule in terms of stress parameters. It shows ambiguity in loading-unloading criteria for softening materials. During such situations, an alternative strain-space formulation becomes quite useful to carry out analysis of such materials. The viscoplastic response of materials requires the time integration of system of non-linear first order differential equations. In viscoplasiticy, the constitutive equation …
Published in Journal of Experimental & Applied Mechanics · Vol. 9, Issue 1, 2018 · pp. 9–14 Read article
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Non-Homogeneous Effect on Vibration of Visco-Elastic Rectangular Plate Having Parabolically Varying Thickness in Both Directions
Abstract: At present the vibration theory has become significant in every sphere of applied sciences. In the advance time, the plates of variable thickness are widely used in civil, aeronautical, mechanical, electronics and marine structures like jet engines designing, space crafts, gas turbines, nuclear power projects etc. The effect of variation of non-homogeneity on vibration of visco-elastic rectangular plate with parabolically varying thickness in both directions is presented in this paper. …
Published in Journal of Experimental & Applied Mechanics · Vol. 9, Issue 3, 2018 · pp. 31–45 Read article
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Modelling & Simulation Of Fuzzy Logic Based Controller For Energy Storage System
Abstract: AbstractThe problem of transient stability in multimachine model is a semi-infinite optimization problem for nonlinear phenomenon in network of energy storage system. As this involves several sets of differential equations and algebraic constraints; therefore the application of several mathematical programming techniques won’t be enough to solve the problem. In the past several ad hoc algorithms had been proposed. This study presents a new methodology to restore the transient stability by …
Published in Journal of Electronic Design Technology · Vol. 8, Issue 2, 2017 · pp. 9–15 Read article
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Application of Fixed-point Theorem in Various Field Review
Abstract: This paper is review of application of fixed-point theorem from 15 research paper. It is observed that Fixed point theorem has application in various field like game theory, computer science, integral and differential equations, heattransfer, functional analysis, topology etc.so for research paper we can utilize fixed point theorem for extension in application.
Published in Journal of Mechatronics and Automation · Vol. 7, Issue 2, 2020 · pp. 6–9 Read article
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Analysis and Design of Coaxial Fed Microstrip Antenna on Multilayer substrate at Terahertz Frequency
Abstract: AbstractThe paper presents the performance of an antenna on a three-layered substrate material analyzed to enhance the electrical parameters such as bandwidth and gain of a microstrip antenna. A regular rectangular microstrip antenna design has been updated to a planar parabolic horn design for improving bandwidth to up to 30 times provided by a rectangular patch. The design has been simulated at 0.6 THz resonant frequency using Keysight’s ADS (Advanced …
Published in Journal of Microwave Engineering and Technologies · Vol. 4, Issue 3, 2017 · pp. 11–14 Read article