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Fractional Order Models For Nuclear Reactor Analysis

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Fractional Order Models for Nuclear Reactor Analysis

Fractional Order Models for Nuclear Reactor Analysis Book
Author : Gilberto Espinosa Paredes
Publisher : Woodhead Publishing
Release : 2020-10-22
ISBN : 0128236663
Language : En, Es, Fr & De

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Book Description :

Fractional-Order Models for Nuclear Reactor Analysis presents fractional modeling issues in the context of anomalous diffusion processes in an accessible and practical way. The book emphasizes the importance of non-Fickian diffusion in heterogeneous systems as the core of the nuclear reactor, as well as different variations of diffusion processes in nuclear reactors which are presented to establish the importance of nuclear and thermohydraulic phenomena and the physical side effects of feedback. In addition, the book analyzes core issues in fractional modeling in nuclear reactors surrounding phenomenological description and important analytical sub-diffusive processes in the transport neutron. Users will find the most innovative modeling techniques of nuclear reactors using operator differentials of fractional order and applications in nuclear design and reactor dynamics. Proposed methods are tested with Boltzmann equations and non-linear order models alongside real data from nuclear power plants, making this a valuable resource for nuclear professionals, researchers and graduate students, as well as those working in nuclear research centers with expertise in mathematical modeling, physics and control. Presents and analyzes a new paradigm of nuclear reactor phenomena with fractional modeling Considers principles of fractional calculation, methods of solving differential equations of fractional order, and their applications Includes methodologies of linear and nonlinear analysis, along with design and dynamic analyses

Fractional order Modeling of Nuclear Reactor From Subdiffusive Neutron Transport to Control oriented Models

Fractional order Modeling of Nuclear Reactor  From Subdiffusive Neutron Transport to Control oriented Models Book
Author : Vishwesh Vyawahare,Paluri S. V. Nataraj
Publisher : Springer
Release : 2018-02-03
ISBN : 9811075875
Language : En, Es, Fr & De

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Book Description :

This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems. Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.

Simulation and Modeling Methodologies Technologies and Applications

Simulation and Modeling Methodologies  Technologies and Applications Book
Author : Mohammad S. Obaidat,Tuncer Ören,Janusz Kacprzyk,Joaquim Filipe
Publisher : Springer
Release : 2016-01-14
ISBN : 3319264702
Language : En, Es, Fr & De

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Book Description :

The present book includes a set of selected extended papers from the 4th International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2014), held in Vienna, Austria, from 28 to 30 August 2014. The conference brought together researchers, engineers and practitioners interested in methodologies and applications of modeling and simulation. New and innovative solutions are reported in this book. SIMULTECH 2014 received 167 submissions, from 45 countries, in all continents. After a double blind paper review performed by the Program Committee, 23% were accepted as full papers and thus selected for oral presentation. Additional papers were accepted as short papers and posters. A further selection was made after the Conference, based also on the assessment of presentation quality and audience interest, so that this book includes the extended and revised versions of the very best papers of SIMULTECH 2014. Commitment to high quality standards is a major concern of SIMULTECH that will be maintained in the next editions, considering not only the stringent paper acceptance ratios but also the quality of the program committee, keynote lectures, participation level and logistics.

Fractional Calculus

Fractional Calculus Book
Author : Varsha Daftardar-Gejji
Publisher : ALPHA SCIENCE INTERNATIONAL LIMITED
Release : 2013-07-26
ISBN : 8184874782
Language : En, Es, Fr & De

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Book Description :

FRACTIONAL CALCULUS: Theory and Applications deals with differentiation and integration of arbitrary order. The origin of this subject can be traced back to the end of seventeenth century, the time when Newton and Leibniz developed foundations of differential and integral calculus. Nonetheless, utility and applicability of FC to various branches of science and engineering have been realized only in last few decades. Recent years have witnessed tremendous upsurge in research activities related to the applications of FC in modeling of real-world systems. Unlike the derivatives of integral order, the non-local nature of fractional derivatives correctly models many natural phenomena containing long memory and give more accurate description than their integer counterparts.The present book comprises of contributions from academicians and leading researchers and gives a panoramic overview of various aspects of this subject: Introduction to Fractional Calculus Fractional Differential Equations Fractional Ordered Dynamical Systems Fractional Operators on Fractals Local Fractional Derivatives Fractional Control Systems Fractional Operators and Statistical Distributions Applications to Engineering

Fractional Calculus and Fractional Differential Equations

Fractional Calculus and Fractional Differential Equations Book
Author : Varsha Daftardar-Gejji
Publisher : Springer
Release : 2019-08-10
ISBN : 9811392277
Language : En, Es, Fr & De

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Book Description :

This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the stability of solutions of nonlinear dynamical systems of the non-commensurate fractional order have also been included. Furthermore, artificial neural network and fractional differential equations are elaborated on; and new transform methods (for example, Sumudu methods) and how they can be employed to solve fractional partial differential equations are discussed. The book covers the latest research on a variety of topics, including: comparison of various numerical methods for solving FDEs, the Adomian decomposition method and its applications to fractional versions of the classical Poisson processes, variable-order fractional operators, fractional variational principles, fractional delay differential equations, fractional-order dynamical systems and stability analysis, inequalities and comparison theorems in FDEs, artificial neural network approximation for fractional operators, and new transform methods for solving partial FDEs. Given its scope and level of detail, the book will be an invaluable asset for researchers working in these areas.

Analog Digital Implementation of Fractional Order Chaotic Circuits and Applications

Analog Digital Implementation of Fractional Order Chaotic Circuits and Applications Book
Author : Esteban Tlelo-Cuautle,Ana Dalia Pano-Azucena,Omar Guillén-Fernández,Alejandro Silva-Juárez
Publisher : Springer Nature
Release : 2019-11-11
ISBN : 303031250X
Language : En, Es, Fr & De

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Book Description :

This book details the simulation and optimization of integer and fractional-order chaotic systems, and how they can be implemented in the analog and digital domains using FPAAs and FPGAs. Design guidelines are provided to use commercially available electronic devices, and to perform hardware descriptions of integer/fractional-order chaotic systems programming in VHDL. Finally, several engineering applications oriented to cryptography, internet of things, robotics and chaotic communications, are detailed to highlight the usefulness of FPAA/FPGA based integer/fractional-order chaotic systems. Provides guidelines to implement fractional-order derivatives using commercially available devices; Describes details on using FPAAs to approach fractional-order chaotic systems; Includes details on using FPGAs to approach fractional-order chaotic systems, programming in VHDL and reducing hardware resources; Discusses applications to cryptography, internet of things, robotics and chaotic communications.

Basic Theory

Basic Theory Book
Author : Anatoly Kochubei,Yuri Luchko
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2019-02-19
ISBN : 3110571625
Language : En, Es, Fr & De

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Book Description :

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Artificial Intelligence and Soft Computing

Artificial Intelligence and Soft Computing Book
Author : Leszek Rutkowski,Rafał Scherer,Marcin Korytkowski,Witold Pedrycz,Ryszard Tadeusiewicz,Jacek M. Zurada
Publisher : Springer Nature
Release : 2020-10-20
ISBN : 3030614018
Language : En, Es, Fr & De

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Book Description :

The two-volume set LNCS 12415 and 12416 constitutes the refereed proceedings of of the 19th International Conference on Artificial Intelligence and Soft Computing, ICAISC 2020, held in Zakopane, Poland*, in October 2020. The 112 revised full papers presented were carefully reviewed and selected from 265 submissions. The papers included in the first volume are organized in the following six parts: ​neural networks and their applications; fuzzy systems and their applications; evolutionary algorithms and their applications; pattern classification; bioinformatics, biometrics and medical applications; artificial intelligence in modeling and simulation. The papers included in the second volume are organized in the following four parts: computer vision, image and speech analysis; data mining; various problems of artificial intelligence; agent systems, robotics and control. *The conference was held virtually due to the COVID-19 pandemic.

British Technology Index

British Technology Index Book
Author : Anonim
Publisher : Unknown
Release : 1981
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download British Technology Index book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Nonlinear Differential Equations in Physics

Nonlinear Differential Equations in Physics Book
Author : Santanu Saha Ray
Publisher : Springer Nature
Release : 2019-12-28
ISBN : 9811516561
Language : En, Es, Fr & De

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Book Description :

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers–Hopf equation, the (3+1)-dimensional time-fractional Khokhlov–Zabolotskaya–Kuznetsov equation, (3+1)-dimensional time-fractional KdV–Khokhlov–Zabolotskaya–Kuznetsov equation, fractional (2+1)-dimensional Davey–Stewartson equation, and integrable Davey–Stewartson-type equation. Many of the methods discussed are analytical–numerical, namely the modified decomposition method, a new two-step Adomian decomposition method, new approach to the Adomian decomposition method, modified homotopy analysis method with Fourier transform, modified fractional reduced differential transform method (MFRDTM), coupled fractional reduced differential transform method (CFRDTM), optimal homotopy asymptotic method, first integral method, and a solution procedure based on Haar wavelets and the operational matrices with function approximation. The book proposes for the first time a generalized order operational matrix of Haar wavelets, as well as new techniques (MFRDTM and CFRDTM) for solving fractional differential equations. Numerical methods used to solve stochastic point kinetic equations, like the Wiener process, Euler–Maruyama, and order 1.5 strong Taylor methods, are also discussed.

Nuclear reactor Analysis

Nuclear reactor Analysis Book
Author : Allan F. Henry,Henry Allan F
Publisher : MIT Press (MA)
Release : 1975
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Nuclear reactor Analysis book written by Allan F. Henry,Henry Allan F, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Computer Simulation 1951 1976

Computer Simulation  1951 1976 Book
Author : Per A. Holst
Publisher : Unknown
Release : 1979
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Computer Simulation 1951 1976 book written by Per A. Holst, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Shock and Vibration Digest

The Shock and Vibration Digest Book
Author : Anonim
Publisher : Unknown
Release : 1983
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The Shock and Vibration Digest book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Hearings on the Nuclear Initiative Technological concerns in nuclear reactor safety

Hearings on the Nuclear Initiative  Technological concerns in nuclear reactor safety Book
Author : California. Legislature. Assembly. Committee on Resources, Land Use, and Energy
Publisher : Unknown
Release : 1975
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Hearings on the Nuclear Initiative Technological concerns in nuclear reactor safety book written by California. Legislature. Assembly. Committee on Resources, Land Use, and Energy, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Transactions of the American Nuclear Society

Transactions of the American Nuclear Society Book
Author : American Nuclear Society
Publisher : Unknown
Release : 1981
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Transactions of the American Nuclear Society book written by American Nuclear Society, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Proceedings of the 21st IEEE Conference on Decision Control December 8 10 1982 Holiday Inn International Drive Orlando Florida

Proceedings of the 21st IEEE Conference on Decision   Control  December 8 10  1982  Holiday Inn International Drive  Orlando  Florida Book
Author : Anonim
Publisher : Unknown
Release : 1982
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Proceedings of the 21st IEEE Conference on Decision Control December 8 10 1982 Holiday Inn International Drive Orlando Florida book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Fractional Analysis

Fractional Analysis Book
Author : I.V. Novozhilov
Publisher : Springer Science & Business Media
Release : 1997-06-01
ISBN : 9780817638894
Language : En, Es, Fr & De

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Book Description :

This book considers methods of approximate analysis of mechanical, elec tromechanical, and other systems described by ordinary differential equa tions. Modern mathematical modeling of sophisticated mechanical systems consists of several stages: first, construction of a mechanical model, and then writing appropriate equations and their analytical or numerical ex amination. Usually, this procedure is repeated several times. Even if an initial model correctly reflects the main properties of a phenomenon, it de scribes, as a rule, many unnecessary details that make equations of motion too complicated. As experience and experimental data are accumulated, the researcher considers simpler models and simplifies the equations. Thus some terms are discarded, the order of the equations is lowered, and so on. This process requires time, experimentation, and the researcher's intu ition. A good example of such a semi-experimental way of simplifying is a gyroscopic precession equation. Formal mathematical proofs of its admis sibility appeared some several decades after its successful introduction in engineering calculations. Applied mathematics now has at its disposal many methods of approxi mate analysis of differential equations. Application of these methods could shorten and formalize the procedure of simplifying the equations and, thus, of constructing approximate motion models. Wide application of the methods into practice is hindered by the fol lowing. 1. Descriptions of various approximate methods are scattered over the mathematical literature. The researcher, as a rule, does not know what method is most suitable for a specific case. 2.

A Selected Bibliography on Emergency Core Cooling Systems ECCS for Light water Cooled Power Reactors LWRs

A Selected Bibliography on Emergency Core Cooling Systems  ECCS  for Light water Cooled Power Reactors  LWRs  Book
Author : William B. Cottrell
Publisher : Unknown
Release : 1974
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download A Selected Bibliography on Emergency Core Cooling Systems ECCS for Light water Cooled Power Reactors LWRs book written by William B. Cottrell, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Designing Quantitative Experiments

Designing Quantitative Experiments Book
Author : John Wolberg
Publisher : Springer Science & Business Media
Release : 2010-06-16
ISBN : 3642115896
Language : En, Es, Fr & De

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Book Description :

Early in my career I was given the task of designing a sub-critical nuclear reactor facility that was to be used to perform basic research in the area of reactor physics. We planned to run a series of experiments to determine fundamental parameters related to the distribution of neutrons in such s- tems. I felt that it was extremely important to understand how the design would impact upon the accuracy of our results and as a result of this - quirement I developed a design methodology that I subsequently called prediction analysis. After working with this method for several years and applying it to a variety of different experiments, I wrote a book on the subject. Not surprisingly, it was entitled Prediction Analysis and was p- lished by Van Nostrand in 1967. Since the book was published over 40 years ago science and technology have undergone massive changes due to the computer revolution. Not - ly has available computing power increased by many orders of magnitude, easily available and easy to use software has become almost ubiquitous. In the 1960's my emphasis was on the development of equations, tables and graphs to help researchers design experiments based upon some we- known mathematical models. When I reconsider this work in the light of today's world, the emphasis should shift towards applying current techn- ogy to facilitate the design process.