Fractional Calculus with Applications for Nuclear Reactor Dynamics

ISBN-13: 9781138893238 / Angielski / Miękka / 2017 / 240 str.

Ray, Santanu (National Institute of Technology, Rourkela, India)

Opis

This book covers the applications of new analytical and numerical methods, including wavelet methods to explain the physical behavior of nuclear reactors. Fractional calculus represents the reactor more closely than classical integer order calculus.

Recenzje

"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

Spis treści

Mathematical 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.

O autorze

Dr. 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.