Fractional Calculus with Applications for Nuclear Reactor Dynamics by Santanu Saha Ray (Hardback, 2015)
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About this product
- DescriptionIntroduces Novel Applications for Solving Neutron Transport Equations While deemed nessential in the past, fractional calculus is w gaining momentum in the science and engineering community. Various disciplines have discovered that realistic models of physical phemen 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.
- Author BiographyDr. Santanu Saha Ray is an associate professor at the National Institute of Technology, Rourkela, India. He earned a Ph. D. in applied mathematics at Jadavpur University. He is a member of SIAM, the AMS, and the Indian Science Congress Association, and serves as the editor-in-chief for the International Journal of Applied and Computational Mathematics. Dr. Saha Ray has done extensive work in the area of fractional calculus and its role in nuclear science and engineering.
- Author(s)Santanu Saha Ray
- PublisherTaylor & Francis Inc
- Date of Publication16/07/2015
- SubjectEngineering & Technology: Textbooks & Study Guides
- Place of PublicationPortland
- Country of PublicationUnited States
- ImprintProductivity Press
- Content Note93 black & white illustrations, 49 black & white tables
- Weight476 g
- Width156 mm
- Height235 mm
- Spine18 mm
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