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102 articles for “computer mathematical modeling”
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Artificial Intelligence in Trigonometry: Innovations, Applications, and Future Prospects
Abstract: Artificial Intelligence (AI) has transformed numerous scientific fields, yet its integration with classical mathematics such as trigonometry is still emerging. This paper explores how AI enhances trigonometric problem solving, learning, and real-world applications. We analyse AI-driven tools for teaching trigonometry, AI in geometric and spatial reasoning, usage in robotics and computer vision, and future directions for research. Key challenges, methodologies, and case studies are discussed to provide a comprehensive overview …
Published in Journal of Artificial Intelligence Research & Advances · Vol. 13, Issue 3, 2025 Read article
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Computational Fluid Dynamics Simulations of Horizontal Wellbore Cleaning and Cement Placement Processes in Drilling and Completions Engineering Applications
Abstract: Mathematical modeling and simulations of complex coupled processes require both robust and accurate physics-based techniques. Computational fluid dynamics (CFD) have been used extensively in a wide range of fields such as aerospace, automotive, and chemical processing industries to name a few. Typically, processes during drilling and completion of wells involve modeling of complex rheology fluids, turbulence modeling, multiphase phenomena, and heat transfer. Each individual process could possibly result in a …
Published in Journal of Petroleum Engineering & Technology · Vol. 2, Issue 1-3, 2012 · pp. 26–39 Read article
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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
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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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Novel Technique for the Analysis of Electronic Circuits Including Zener Diodes
Abstract: This paper addresses the analysis of electronic circuits including Zener diodes. It starts with a modified Zener diode model, which is based on expressions involving step-functions, its parameters such as the resistances in both current directions as well as its breakdown (or Zener) voltage. In contrast to the earlier approaches expressing the sharp discontinuities characterizing the step-functions in terms of inverse hyperbolic tangent terms, this paper adopts more concise and …
Published in Journal of VLSI Design Tools and Technology · Vol. 11, Issue 3, 2021 · pp. 31–41 Read article
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Speed Control of Electric Drives Using Soft Computing Techniques
Abstract: The speed control of electric drives is a challenging engineering problem. The direct torque control (DTC)method is characterized by its simple implementation and a fast dynamic response. Soft computingtechniques, viz., fuzzy control are ways for controlling a system without the need of mathematical model. Ituses the experience of people’s knowledge to form its control rule base. There are two techniques to controlthe speed of electrical drives. The traditional technique uses …
Published in Journal of Control & Instrumentation · Vol. 1, Issue 1-2-3, 2011 · pp. 50–58 Read article
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Voltage Stabilization of Electric Vehicle Charger Using Fractional Order PID Controller
Abstract: In this study, a comprehensive analysis of the stability of Phase-Shifted Full Bridge DC-DC converter with zero voltage crossing is carried out by applying PID controller tuned using Ziegler Nichols tuning method, Cohen Coon method and Fractional Order PID controller using Genetic Algorithm optimization technique. First, the system specifications for the fast charging of electric vehicles were defined, from which converter parameters were then calculated. From the converter topology, the …
Published in Journal of Control & Instrumentation · Vol. 13, Issue 2, 2022 · pp. 14–26 Read article
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Transient Analysis of Electronic Circuits Including Zener Diodes
Abstract: This paper addresses the transient analysis of the electronic circuits incorporating Zener diodes. It starts with suggesting a new Zener diode model. The model is based on efficiently utilized step functions of the applied voltage. It includes also the diode’s main technical parameters such as its resistances in both the forward and reverse current directions as well as its Zener’s breakdown voltage. The sharp discontinuities of the step-functions are dealt …
Published in Journal of VLSI Design Tools and Technology · Vol. 11, Issue 3, 2021 · pp. 1–9 Read article
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Two-Phase Flow Modelling in Clay Rich Shale
Abstract: Computational fluid dynamics (CFD) have made huge strides lately and are bit by bit turning into a pervasive device in science and engineering. In this paper, we present a new mathematical model, which adequately describes single- and two-phase flow, which considers relative permeability and capillary pressure in water rich clay shale. Furthermore, we implement the two-phase flow model into COMSOL multiphysics software. From the result analysis, it is concluded that …
Published in Journal of Petroleum Engineering & Technology · Vol. 6, Issue 3, 2016 · pp. 44–53 Read article
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A Study on Computer Vision: Techniques, Algorithms and Application
Abstract: This study gives a brief explanation or idea about what computer vision is and how it is implemented. Computer vision has so many different applications which are being used and are also under development for future enhancements. All this information can be found here in this research work. Computer vision is a branch of computer science that aimed at developing digital system, which is capable of processing, analysing, and comprehending …
Published in Journal of Computer Technology & Applications · Vol. 13, Issue 1, 2022 · pp. 1–8 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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Optimizing Milling Parameters in Face Milling Operation
Abstract: In statistics, response surface methodology (RSM) establish a relationship between several self or system explanatory variables and one or more response variables. Since many variables are involved to control the process, the requirement of some mathematical models to represent the process is found to be necessary. In order to extract the result by this statistical analysis, the experimental results will have to be processed using the analysis of variance (ANOVA). …
Published in Journal of Experimental & Applied Mechanics · Vol. 9, Issue 3, 2018 · pp. 60–76 Read article
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The Electromagnetic Transients in Compensated High Voltage Power Lines
Abstract: This paper addresses the simulation of the transients developed in high voltage lines, which are initiated by lightning discharges. The analysis allows for compensated and uncompensated lines. Both the individual and simultaneous series inductive and shunt capacitive compensation types can be dealt with. The sizes and locations of the compensating elements are included in the analysis. Numerous studies on the transient concentrated stresses across these elements and the related protection …
Published in International Journal of Electrical Power and Machine Systems · Vol. 1, Issue 2, 2023 · pp. 1–8 Read article
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Fluid-Structure Interaction Simulation of Parachute by Eulerian-Lagrangian penalty method
Abstract: In general, modeling and simulation of a model consisting of fluid and solid combinations has been considered difficult, and it has become impossible in terms of computer dependencies and accuracy to be analyzed by Fluent or other programs. The parachute evaluation process, which is historically based on a large amount of experimental data, necessitates many falling experiments. These tests can be costly and time-consuming, and they don't always allow for …
Published in Recent Trends in Fluid Mechanics · Vol. 11, Issue 2, 2024 · pp. 15–22 Read article
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Fuzzy Mathematics in Decision-Making: A Quantitative Perspective
Abstract: Fuzzy mathematics plays an increasingly generalized role in decision-making, and thus, this paper details different types of fuzzy mathematics and highlights other possible alternatives alongside fuzzy methodologies. Fuzzy models offer a versatile and precise approach to assessing complex and uncertain situations using fuzzy sets, membership functions, linguistic variables, and aggregation methods. Through the lenses of time, cost, and quality, the project management case study illustrates how fuzzy logic effectively evaluates …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 1, 2025 · pp. 6–12 Read article
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Model to Predict a Split Range Control of Hot and Cold Water System
Abstract: Mathematical model was developed to monitor, predict, and stimulate hot and cold water system using split range control application. Computer program language of MATLAB software of ODE function was applied to monitor the trend of temperature parameter in the system. Result obtained revealed decrease in temperature value of the hot water and increase in the temperature value of cold water until equilibrium was attained at 132°F at > 1.0 h. …
Published in Journal of Water Pollution & Purification Research Read article
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A Quantitative Fuzzy MCDM Framework for Decision Support in Uncertain Environments
Abstract: Fuzzy mathematics play an increasingly generalized role in decision-making, and thus, this paper details different types of fuzzy mathematics and it signs other possible solutions in addition to fuzzy mathematics. Fuzzy models offer a versatile and precise approach to assessing complex situations through the use of fuzzy sets, membership functions, and aggregation methods. Through time, cost and quality, the project management case study illustrates how fuzzy logic works for them. …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 1–8 Read article
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A Novel and Efficient Transmission System for Harnessing Hydrokinetic Power from Ocean Currents
Abstract: This paper presents the design principles of a novel power transmission system for an indigenous device known as a “Hydro Vortex Power Generator” that harnesses the power of vortices from low-velocity streams of water. The flow-induced motions of an elastically mounted cylinder that is free to oscillate in the crossflow direction are converted to electricity by the power generator. To convert the oscillations with non-uniform amplitude and frequency to uniform …
Published in Recent Trends in Fluid Mechanics · Vol. 11, Issue 3, 2024 · pp. 14–24 Read article
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Casting Simulation using ProCast: A Review
Abstract: Productivity improvement is the need of current market and manufacturing sector globally. In India the manufacturing sector is concentrated towards the casting process and majority of the products are manufactured by casting process. Various factors and parameters affect the quality and productivity of the casting process. Due to variation in these parameters various types of defects and shortcomings come to the scene during the casting process. In this review paper …
Published in Journal of Production Research & Management · Vol. 6, Issue 1, 2016 · pp. 1–8 Read article
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An Overview of the Design and Optimization of Antennas Employing Machine Learning Algorithms and Methodologies
Abstract: This paper offers a comprehensive exploration of the integration of machine learning (ML) techniques in antenna design and optimization, reflecting the burgeoning interest and potential impact of ML in emerging technologies. The first segment conducts a detailed literature survey, elucidating conventional computational electromagnetic and numerical methods preceding an in-depth discussion on the core facets of ML, encompassing diverse learning categories and frameworks. Additionally, it provides a mathematical exposition on regression …
Published in Journal of Telecommunication, Switching Systems and Networks · Vol. 10, Issue 3, 2023 · pp. 1–12 Read article