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Books > Science & Mathematics > Physics > Nuclear structure physics
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Fractional Calculus with Applications for Nuclear Reactor Dynamics (Paperback)
Loot Price: R2,531
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Fractional Calculus with Applications for Nuclear Reactor Dynamics (Paperback)
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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.
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