Neutron Diffusion: Concepts and Uncertainty Analysis for Engineers and Scientists

This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty. This will serve to be a benchmark book for graduate & postgraduate students, teachers, engineers and researchers throughout the globe. In view of the recent developments in nuclear engineering, it is important to study the basic concepts of this field along with the diffusion processes for nuclear reactor design. Also, it is known that uncertainty is a&nbsp;must in every field of engineering and science and, in particular, with regards&nbsp;to nuclear-related problems. As such, one may need to understand the nuclear diffusion principles/theories corresponding with reliable and efficient techniques for the solution of such uncertain problems. Accordingly this book aims to provide a new direction for readers with basic concepts of reactor physics as well as neutron diffusion theory. On the other hand, it also includes uncertainty (in terms of fuzzy, interval, stochastic) and their applications in nuclear diffusion problems in a systematic manner, along with recent developments. The&nbsp;underlying concepts&nbsp;of the presented methods in this book may very well be used/extended to various other engineering disciplines viz. electronics, marine, chemical, mining engineering and other sciences such as physics, chemistry, biotechnology etc. This book then can be widely applied&nbsp;wherever one wants to model their physical problems in terms of non-probabilistic methods viz. fuzzy/stochastic for the true essence of the real problems.

Science & Math

Nayak, Sukanta

Chakraverty, S.

Mathematics

CRC-Press

Modeling and Computation in Vibration Problems: Numerical and semi-analytical methods (Volume 1)

Reddy, J.N.

Tornabene, Francesco

Physics

IOP Publishing Ltd.

Modeling and Computation in Vibration Problems: Soft computing and uncertainty (Volume 2)

Polynomial Paradigms: Trends and Applications in Science and Engineering

Structural Dynamics in Uncertain Environments

Jena, Subrat KumaR

Technology

Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique work provides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.

Fuzzy Differential Equations and Applications for Engineers and Scientists

Tapaswini, Smita

Behera, Diptiranjan

This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty. This will serve to be a benchmark book for graduate &amp; postgraduate students, teachers, engineers and researchers throughout the globe. In view of the recent developments in nuclear engineering, it is important to study the basic concepts of this field along with the diffusion processes for nuclear reactor design. Also, it is known that uncertainty is a must in every field of engineering and science and, in particular, with regards to nuclear-related problems. As such, one may need to understand the nuclear diffusion principles/theories corresponding with reliable and efficient techniques for the solution of such uncertain problems. Accordingly this book aims to provide a new direction for readers with basic concepts of reactor physics as well as neutron diffusion theory. On the other hand, it also includes uncertainty (in terms of fuzzy, interval, stochastic) and their applications in nuclear diffusion problems in a systematic manner, along with recent developments. The underlying concepts of the presented methods in this book may very well be used/extended to various other engineering disciplines viz. electronics, marine, chemical, mining engineering and other sciences such as physics, chemistry, biotechnology etc. This book then can be widely applied wherever one wants to model their physical problems in terms of non-probabilistic methods viz. fuzzy/stochastic for the true essence of the real problems.

Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed to handle them. Machine intelligence methods, such as Artificial Neural Networks (ANN), are being used to solve differential equations, and these methods are presented in Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations. This book shows how computation of differential equation becomes faster once the ANN model is properly developed and applied.

Artificial Neural Networks for Engineers and Scientists

Mall, Susmita

This text deals with the methods of obtaining numerical solutions to engineering problems. The topics discussed are those that are normally covered in undergraduate engineering programs. It includes an introduction to digital computers, function representation using Taylor's series, error consideration in iterative type computations, searching for roots of equations in a single variable, solution of simultaneous equations, function approximation and interpolation, numerical integration and differentiation, matrix eigenvalue problems, solution of nonlinear system of equations, and solutions of ordinary and partial differential equations.

Numerical Analysis In Engineering

Engineering & Transportation

Bhat, R.B.

Engineering

Alpha Science Intl Ltd

Numerical Analysis in Engineering deals with the methods of obtaining numerical solutions to engineering problems. The topics discussed are normally covered in undergraduate engineering programs. These include an introduction to digital computers, function representation using Taylor's series, error considerations in iterative type computations, searching for roots of equations in a single variable, solution of simultaneous equations, function approximation and interpolation, numerical integration and differentiation, matrix eigenvalue problems, solution of nonlinear system of equations, and solution of ordinary and partial differential equations. Advanced topics such as the generation of boundary characteristic orthogonal polynomials, boundary value problems have also been dealt with.

Numerical Analysis in Engineering

Alpha Science

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