Fractional Calculus with Applications for Nuclear Reactor Dynamics - Santanu Saha Ray - Libros - Taylor & Francis Inc - 9781498727273 - 29 de julio de 2015
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Santanu Saha Ray
Fractional Calculus with Applications for Nuclear Reactor Dynamics 1.º edición

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Introduces Novel Applications for Solving Neutron Transport Equations

While deemed nonessential in the past, fractional calculus is now gaining momentum in the science and engineering community. Various disciplines have discovered that realistic models of physical phenomenon can be achieved with fractional calculus and are using them in numerous ways. Since fractional calculus represents a reactor more closely than classical integer order calculus, Fractional Calculus with Applications for Nuclear Reactor Dynamics focuses on the application of fractional calculus to describe the physical behavior of nuclear reactors. It applies fractional calculus to incorporate the mathematical methods used to analyze the diffusion theory model of neutron transport and explains the role of neutron transport in reactor theory.

The author discusses fractional calculus and the numerical solution for fractional neutron point kinetic equation (FNPKE), introduces the technique for efficient and accurate numerical computation for FNPKE with different values of reactivity, and analyzes the fractional neutron point kinetic (FNPK) model for the dynamic behavior of neutron motion. The book begins with an overview of nuclear reactors, explains how nuclear energy is extracted from reactors, and explores the behavior of neutron density using reactivity functions. It also demonstrates the applicability of the Haar wavelet method and introduces the neutron diffusion concept to aid readers in understanding the complex behavior of average neutron motion.

This text:

Applies the effective analytical and numerical methods to obtain the solution for the NDE Determines the numerical solution for one-group delayed neutron FNPKE by the explicit finite difference method Provides the numerical solution for classical as well as fractional neutron point kinetic equations Proposes the Haar wavelet operational method (HWOM) to obtain the numerical approximate solution of the neutron point kinetic equation, and more

Fractional Calculus with Applications for Nuclear Reactor Dynamics

thoroughly and systematically presents the concepts of fractional calculus and emphasizes the relevance of its application to the nuclear reactor.

235 pages, 93 black & white illustrations, 49 black & white tables

Medios de comunicación Libros     Hardcover Book   (Libro con lomo y cubierta duros)
Publicado 29 de julio de 2015
ISBN13 9781498727273
Editores Taylor & Francis Inc
Páginas 236
Dimensiones 163 × 325 × 19 mm   ·   498 g
Lengua Inglés  

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