Description
Book SynopsisIntroduces 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 (FNPK
Trade Review
"The textbook covers a wide range of models and methods for neutron transport and will be a welcome addition to many undergraduate and graduate courses. Graduate students working in nuclear engineering neutron transport area will appreciate the details of the methods, and will find this book useful to guide their research."—Igor A. Bolotnov, Department of Nuclear Engineering, North Carolina State University
"I have read the two sample chapters provided with me. I found no irregulaity in these two chapters. The table of content is absolutely ideal. This book focuses on the application of fractional calculus to describe the physical behavior of nuclear reactors. The sample chapters reflect the concept of the subject fairly.
In my opinion this book will be indispensable in the field of nuclear reactor science and engineering."
—Dr. Rasajit Kumar Bera, M. Sc. (Applied Maths., Gold Medalist), Ph. D.(Sc.), Retired Professor & Head of the Department of Science, National Institute of Technical Teacher’s Training and Research (Eastern Region), Block-FC, Sector-III, Salt Lake City, Kolkata-700106, India
Table of ContentsMathematical Methods in Nuclear Reactor Physics. Neutron Diffusion Equation Model in Dynamical Systems. Fractional Order Neutron Point Kinetic Model. Numerical Solution for Deterministic Classical and Fractional Order Neutron Point Kinetic Model. Classical and Fractional Order Stochastic Neutron Point Kinetic Model. Solution for Nonlinear Classical and Fractional Order Neutron Point Kinetic Model with Newtonian Temperature Feedback Reactivity. Numerical Simulation Using Haar Wavelet Method for Neutron Point Kinetic Equation Involving Imposed Reactivity Function. Numerical Solution Using Two- Dimensional Haar Wavelet Method for Stationary Neutron Transport Equation in Homogeneous Isotropic Medium. References.
