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The Use of “Mathematical Modeling” in Physics: Case of Representations and Teaching–Learning Practices
Professors and students rarely use mathematical modeling as a means for understanding physical phenomena, which negatively impacts on the quality of...
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On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics
In recent study, we develop the weighted generalized Hilfer-Prabhakar fractional derivative operator and explore its key properties. It unifies many...
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Mathematical Modelling and Computing in Physics, Chemistry and Biology Fundamentals and Applications
This book keeps an eye in the direction of applications of advanced and high performance scientific computing in describing the behavior of natural...
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Multiscale Finite Element Technique for Mathematical Modelling of Multi-physics Processes in Heterogeneous Media
In real-life applications, it is not always possible to decouple multiple physical processes occurring simultaneously in the medium, thus indirect...
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High-Precision Method for Space-Time-Fractional Klein-Gordon Equation
This paper presents the space-time fractional Klein-Gordon equations (FKGEs) for the spinless particle in potential field. It defines to describe the...
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A Three-Dimensional Analytical Model of a Subminiature Permanent-Magnet Synchronous Motor
AbstractAn analytical mathematical model of a subminiature permanent-magnet synchronous motor without ferromagnetic cores has been considered in the...
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Reduced-order model-inspired system identification of geometrically nonlinear structures: application to a nonlinear cantilever-type structure
In the field of structural dynamics, system identification usually refers to building mathematical models from an experimentally obtained data set....
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Exploring localized waves and different dynamics of solitons in (2 + 1)-dimensional Hirota bilinear equation: a multivariate generalized exponential rational integral function approach
This study introduces the multivariate generalized exponential rational integral function (MGERIF) approach for solving the Hirota bilinear problem...
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kεNet: discovering the turbulence model and applying for low Reynolds number turbulent channel flow
We propose a physics informed deep learning neural network, termed kε Net, for discovering the closure model of Reynolds stress in Reynolds-averaged...
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Data Driven Modeling and Control of Delivery Drone
Data driven dynamic modeling and control of a quadcopter with slung load (i.e., Delivery drone) is developed in this study. The dynamic and controls...
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A Quantum Walk-Based Scheme for Distributed Searching on Arbitrary Graphs
A discrete time quantum walk is known to be the single-particle sector of a quantum cellular automaton. Searching in this mathematical framework has...
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An Invitation to Mathematical Physics and Its History
This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays...
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Jean Petitot’s New Enlightenment
Jean Petitot’s New Enlightenment praises the value of Kantian critical rationalism, understood as an approach that is preferable to both the...
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Study on Material Properties of Protective Clothing in High Temperature Operation
Based on the mathematical physics method and the infinitesimal idea, the mathematical model of each layer material of protective clothing in...
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From fluid mechanics backgrounds to modern field theory
Our presentation keeps a historical line of reasoning, since we start from old concepts of fluid mechanics and finish on concepts of modern field...
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Modeling of Dew-Point Evaporative Coolers
Modeling is an essential approach to understanding the important physics that control dew-point evaporative cooling. It rationalizes the results from...
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Mechanics of Solid Deformable Body
This textbook contains sections with fundamental, classical knowledge in solid mechanics, as well as original modern mathematical models to describe...
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Hybrid Nonlinear Model Predictive Motion Control of a Heavy-duty Bionic Caterpillar-like Robot
This paper investigates the motion control of the heavy-duty Bionic Caterpillar-like Robot (BCR) for the maintenance of the China Fusion Engineering...
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Certain Exact Solutions to the Problem of Liquid Flow in Prismatic Tubes
The problems of different sections of physics and mechanics share a mathematical model that is based on the Poisson equation with a constant...
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Analyticity and Physics
My goal is to present to you some aspects of the role that the mathematical concept as subtle and abstract as “analyticity” plays in physics. In...