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A Closer Look at the Diffusion Equation

Author: Jordan Hristov

Publisher: Nova Science Publishers

Published: 2020-10

Total Pages: 189

ISBN-13: 9781536184884

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Diffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels. This is a contributed book of seventh chapters encompassing local and no-local diffusion phenomena modelled with integer-order (local) and non-local operators. This book collates research results developed by scientists from different countries but with common research interest in modelling of diffusion problems. The results reported encompass diffusion problems related to efficient numerical modelling, hypersonic flows, approximate analytical solutions of solvent diffusion in polymers and wetting of soils. Some chapters are devoted to fractional diffusion problem with operators with singular and non-singular memory kernels. The book content cannot present the entire rich area of problems related to modelling of diffusion phenomena but allow seeing some new trends and approaches in the modelling technologies. In this context, the fractional models with singular and non-singular kernels the numerical methods and the development of the integration techniques related to the integral-balance approach form fresh fluxes of ideas to this classical engineering area of research.The book is oriented to researchers; master and PhD students involved in diffusion problems with a variety of application and could serves as a rich reference source and a collection of texts provoking new ideas.

Book Synopsis A Closer Look at the Diffusion Equation by : Jordan Hristov

Download or read book A Closer Look at the Diffusion Equation written by Jordan Hristov and published by Nova Science Publishers. This book was released on 2020-10 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels. This is a contributed book of seventh chapters encompassing local and no-local diffusion phenomena modelled with integer-order (local) and non-local operators. This book collates research results developed by scientists from different countries but with common research interest in modelling of diffusion problems. The results reported encompass diffusion problems related to efficient numerical modelling, hypersonic flows, approximate analytical solutions of solvent diffusion in polymers and wetting of soils. Some chapters are devoted to fractional diffusion problem with operators with singular and non-singular memory kernels. The book content cannot present the entire rich area of problems related to modelling of diffusion phenomena but allow seeing some new trends and approaches in the modelling technologies. In this context, the fractional models with singular and non-singular kernels the numerical methods and the development of the integration techniques related to the integral-balance approach form fresh fluxes of ideas to this classical engineering area of research.The book is oriented to researchers; master and PhD students involved in diffusion problems with a variety of application and could serves as a rich reference source and a collection of texts provoking new ideas.

A Closer Look at the Diffusion Equation

Author: Jordan Hristov

Publisher:

Published: 2020-10

Total Pages:

ISBN-13: 9781536183306

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Book Synopsis A Closer Look at the Diffusion Equation by : Jordan Hristov

Download or read book A Closer Look at the Diffusion Equation written by Jordan Hristov and published by . This book was released on 2020-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Closer Look of Nonlinear Reaction-Diffusion Equations

Author: Lakshmanan Rajendran

Publisher: Nova Science Publishers

Published: 2020-10

Total Pages: 207

ISBN-13: 9781536183566

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By using mathematical models to describe the physical, biological or chemical phenomena, one of the most common results is either a differential equation or a system of differential equations, together with the correct boundary and initial conditions. The determination and interpretation of their solution are at the base of applied mathematics. Hence the analytical and numerical study of the differential equation is very much essential for all theoretical and experimental researchers, and this book helps to develop skills in this area.Recently non-linear differential equations were widely used to model many of the interesting and relevant phenomena found in many fields of science and technology on a mathematical basis. This problem is to inspire them in various fields such as economics, medical biology, plasma physics, particle physics, differential geometry, engineering, signal processing, electrochemistry and materials science.This book contains seven chapters and practical applications to the problems of the real world. The first chapter is specifically for those with limited mathematical background. Chapter one presents the introduction of non-linear reaction-diffusion systems, various boundary conditions and examples. Real-life application of non-linear reaction-diffusion in different fields with some important non-linear equations is also discussed. In Chapter 2, mathematical preliminaries and various advanced methods of solving non-linear differential equations such as Homotopy perturbation method, variational iteration method, exponential function method etc. are described with examples.Steady and non-steady state reaction-diffusion equations in the plane sheet (chapter 3), cylinder (chapter 4) and spherical (chapter 5) are analyzed. The analytical results published by various researchers in referred journals during 2007-2020 have been addressed in these chapters 4 to 6, and this leads to conclusions and recommendations on what approaches to use on non-linear reaction-diffusion equations.Convection-diffusion problems arise very often in applied sciences and engineering. Non-linear convection-diffusion equations and corresponding analytical solutions in various fields of chemical sciences are discussed in chapter6. Numerical methods are used to provide approximate results for the non-linear problems, and their importance is felt when it is impossible or difficult to solve a given problem analytically. Chapter 7 identifies some of the numerical methods for finding solutions to non-linear differential equations.

Book Synopsis A Closer Look of Nonlinear Reaction-Diffusion Equations by : Lakshmanan Rajendran

Download or read book A Closer Look of Nonlinear Reaction-Diffusion Equations written by Lakshmanan Rajendran and published by Nova Science Publishers. This book was released on 2020-10 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: By using mathematical models to describe the physical, biological or chemical phenomena, one of the most common results is either a differential equation or a system of differential equations, together with the correct boundary and initial conditions. The determination and interpretation of their solution are at the base of applied mathematics. Hence the analytical and numerical study of the differential equation is very much essential for all theoretical and experimental researchers, and this book helps to develop skills in this area.Recently non-linear differential equations were widely used to model many of the interesting and relevant phenomena found in many fields of science and technology on a mathematical basis. This problem is to inspire them in various fields such as economics, medical biology, plasma physics, particle physics, differential geometry, engineering, signal processing, electrochemistry and materials science.This book contains seven chapters and practical applications to the problems of the real world. The first chapter is specifically for those with limited mathematical background. Chapter one presents the introduction of non-linear reaction-diffusion systems, various boundary conditions and examples. Real-life application of non-linear reaction-diffusion in different fields with some important non-linear equations is also discussed. In Chapter 2, mathematical preliminaries and various advanced methods of solving non-linear differential equations such as Homotopy perturbation method, variational iteration method, exponential function method etc. are described with examples.Steady and non-steady state reaction-diffusion equations in the plane sheet (chapter 3), cylinder (chapter 4) and spherical (chapter 5) are analyzed. The analytical results published by various researchers in referred journals during 2007-2020 have been addressed in these chapters 4 to 6, and this leads to conclusions and recommendations on what approaches to use on non-linear reaction-diffusion equations.Convection-diffusion problems arise very often in applied sciences and engineering. Non-linear convection-diffusion equations and corresponding analytical solutions in various fields of chemical sciences are discussed in chapter6. Numerical methods are used to provide approximate results for the non-linear problems, and their importance is felt when it is impossible or difficult to solve a given problem analytically. Chapter 7 identifies some of the numerical methods for finding solutions to non-linear differential equations.

Introduction to Nuclear Reactor Physics

Author: Robert E. Masterson

Publisher: CRC Press

Published: 2017-11-22

Total Pages: 1079

ISBN-13: 1498751490

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INTRODUCTION TO NUCLEAR REACTOR PHYSICS is the most comprehensive, modern and readable textbook for this course/module. It explains reactors, fuel cycles, radioisotopes, radioactive materials, design, and operation. Chain reaction and fission reactor concepts are presented, plus advanced coverage including neutron diffusion theory. The diffusion equation, Fisk’s Law, and steady state/time-dependent reactor behavior. Numerical and analytical solutions are also covered. The text has full color illustrations throughout, and a wide range of student learning features.

Book Synopsis Introduction to Nuclear Reactor Physics by : Robert E. Masterson

Download or read book Introduction to Nuclear Reactor Physics written by Robert E. Masterson and published by CRC Press. This book was released on 2017-11-22 with total page 1079 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTION TO NUCLEAR REACTOR PHYSICS is the most comprehensive, modern and readable textbook for this course/module. It explains reactors, fuel cycles, radioisotopes, radioactive materials, design, and operation. Chain reaction and fission reactor concepts are presented, plus advanced coverage including neutron diffusion theory. The diffusion equation, Fisk’s Law, and steady state/time-dependent reactor behavior. Numerical and analytical solutions are also covered. The text has full color illustrations throughout, and a wide range of student learning features.

Numerical Methods and Applications

Author: Ivan Georgiev

Publisher: Springer Nature

Published: 2023-05-15

Total Pages: 365

ISBN-13: 3031324129

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This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Numerical Methods and Applications, NMA 2022, held in Borovets, Bulgaria, in August 2022.The 30 revised regular papers presented were carefully reviewed and selected from 38 submissions for inclusion in this book. The papers are organized in the following topical sections: numerical search and optimization; problem-driven numerical method: motivation and application, numerical methods for fractional diffusion problems; orthogonal polynomials and numerical quadratures; and Monte Carlo and Quasi-Monte Carlo methods.

Book Synopsis Numerical Methods and Applications by : Ivan Georgiev

Download or read book Numerical Methods and Applications written by Ivan Georgiev and published by Springer Nature. This book was released on 2023-05-15 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Numerical Methods and Applications, NMA 2022, held in Borovets, Bulgaria, in August 2022.The 30 revised regular papers presented were carefully reviewed and selected from 38 submissions for inclusion in this book. The papers are organized in the following topical sections: numerical search and optimization; problem-driven numerical method: motivation and application, numerical methods for fractional diffusion problems; orthogonal polynomials and numerical quadratures; and Monte Carlo and Quasi-Monte Carlo methods.

Advanced Ceramics for Energy Conversion and Storage

Author: Olivier Guillon

Publisher: Elsevier

Published: 2019-11-20

Total Pages: 750

ISBN-13: 0081027842

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In order to enable an affordable, sustainable, fossil-free future energy supply, research activities on relevant materials and related technologies have been intensified in recent years, Advanced Ceramics for Energy Conversion and Storage describes the current state-of-the-art concerning materials, properties, processes, and specific applications. Academic and industrial researchers, materials scientists, and engineers will be able to get a broad overview of the use of ceramics in energy applications, while at the same time become acquainted with the most recent developments in the field. With chapters written by recognized experts working in their respective fields the book is a valuable reference source covering the following application areas: ceramic materials and coatings for gas turbines; heat storage and exchange materials for solar thermal energy; ceramics for nuclear energy; ceramics for energy harvesting (thermoelectrics, piezoelectrics, and sunlight conversion); ceramic gas separation membranes; solid oxide fuel cells and electrolysers; and electrochemical storage in battery cells. Advanced Ceramics for Energy Conversion and Storage offers a sound base for understanding the complex requirements related to the technological fields and the ceramic materials that make them possible. The book is also suitable for people with a solid base in materials science and engineering that want to specialize in ceramics. Presents an extensive overview of ceramic materials involved in energy conversion and storage Updates on the tremendous progress that has been achieved in recent years Showcases authors at the forefront of their fields, including results from the huge amount of published data Provides a list of requirements for the materials used for each energy technology Includes an evaluation and comparison of materials available, including their structure, properties and performance

Book Synopsis Advanced Ceramics for Energy Conversion and Storage by : Olivier Guillon

Download or read book Advanced Ceramics for Energy Conversion and Storage written by Olivier Guillon and published by Elsevier. This book was released on 2019-11-20 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to enable an affordable, sustainable, fossil-free future energy supply, research activities on relevant materials and related technologies have been intensified in recent years, Advanced Ceramics for Energy Conversion and Storage describes the current state-of-the-art concerning materials, properties, processes, and specific applications. Academic and industrial researchers, materials scientists, and engineers will be able to get a broad overview of the use of ceramics in energy applications, while at the same time become acquainted with the most recent developments in the field. With chapters written by recognized experts working in their respective fields the book is a valuable reference source covering the following application areas: ceramic materials and coatings for gas turbines; heat storage and exchange materials for solar thermal energy; ceramics for nuclear energy; ceramics for energy harvesting (thermoelectrics, piezoelectrics, and sunlight conversion); ceramic gas separation membranes; solid oxide fuel cells and electrolysers; and electrochemical storage in battery cells. Advanced Ceramics for Energy Conversion and Storage offers a sound base for understanding the complex requirements related to the technological fields and the ceramic materials that make them possible. The book is also suitable for people with a solid base in materials science and engineering that want to specialize in ceramics. Presents an extensive overview of ceramic materials involved in energy conversion and storage Updates on the tremendous progress that has been achieved in recent years Showcases authors at the forefront of their fields, including results from the huge amount of published data Provides a list of requirements for the materials used for each energy technology Includes an evaluation and comparison of materials available, including their structure, properties and performance

Modelling Landscape Dynamics

Author: Fivos Papadimitriou

Publisher: Springer Nature

Published: 2024-01-02

Total Pages: 141

ISBN-13: 3658424966

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This book offers a comprehensive exposition of the mathematical methods that can be used to model landscape dynamics. It is systematically shown how mathematical models of progressively higher complexity can be derived from ordinary landscape maps and related data in ways that enable researchers to predict future landscape transformations and to assess landscape stability, sustainability and resilience.These models are deterministic (i.e. linear or non-linear systems of differential equations), stochastic (i.e. Markovian), or combined deterministic-and-stochastic (using stochastic differential equations), whereas topics and challenging problems related to complexity (spatial randomness, chaotic behaviors, riddled systems etc) are also examined in the book.

Book Synopsis Modelling Landscape Dynamics by : Fivos Papadimitriou

Download or read book Modelling Landscape Dynamics written by Fivos Papadimitriou and published by Springer Nature. This book was released on 2024-01-02 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive exposition of the mathematical methods that can be used to model landscape dynamics. It is systematically shown how mathematical models of progressively higher complexity can be derived from ordinary landscape maps and related data in ways that enable researchers to predict future landscape transformations and to assess landscape stability, sustainability and resilience.These models are deterministic (i.e. linear or non-linear systems of differential equations), stochastic (i.e. Markovian), or combined deterministic-and-stochastic (using stochastic differential equations), whereas topics and challenging problems related to complexity (spatial randomness, chaotic behaviors, riddled systems etc) are also examined in the book.

Pattern Recognition

Author: DAGM (Organization). Symposium

Publisher: Springer Science & Business Media

Published: 2005-08-18

Total Pages: 526

ISBN-13: 3540287035

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This book constitutes the refereed proceedings of the 27th Symposium of the German Association for Pattern Recognition, DAGM 2005, held in Wien, Austria in August/September 2005. The 29 revised full papers and 31 revised poster papers presented together with 2 invited papers were carefully reviewed and selected from 122 submissions. The papers are organized in topical sections on color analysis, stereo vision, invited paper, segmentation and grouping, automatic speech understanding, 3D view registration and surface modeling, motion and tracking, computational learning, applications, and uncertainty and robustness.

Book Synopsis Pattern Recognition by : DAGM (Organization). Symposium

Download or read book Pattern Recognition written by DAGM (Organization). Symposium and published by Springer Science & Business Media. This book was released on 2005-08-18 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 27th Symposium of the German Association for Pattern Recognition, DAGM 2005, held in Wien, Austria in August/September 2005. The 29 revised full papers and 31 revised poster papers presented together with 2 invited papers were carefully reviewed and selected from 122 submissions. The papers are organized in topical sections on color analysis, stereo vision, invited paper, segmentation and grouping, automatic speech understanding, 3D view registration and surface modeling, motion and tracking, computational learning, applications, and uncertainty and robustness.

Fractional Dynamics in Natural Phenomena and Advanced Technologies

Author: Dumitru Baleanu

Publisher: Cambridge Scholars Publishing

Published: 2024-01-29

Total Pages: 290

ISBN-13: 1527552772

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This book addresses different applied problems in order to demonstrate the feasibility of fractional calculus’ use, irrespective of the type of memory kernels used, to model varieties of natural phenomena and new processes emerging in advanced technologies. In this context, the book’s focus is on modelling, adequate results, and interpretations, rather than theorems and proofs. The book includes a total of 12 chapters, representing various aspects of applied fractional modelling and covering important issues in modern technologies to provide a better understanding of applications of fractional calculus in applied modelling. The book will be a versatile source of information for undergraduate and graduate students, and for scientists involved in modelling of nonlinear and hereditary phenomena.

Book Synopsis Fractional Dynamics in Natural Phenomena and Advanced Technologies by : Dumitru Baleanu

Download or read book Fractional Dynamics in Natural Phenomena and Advanced Technologies written by Dumitru Baleanu and published by Cambridge Scholars Publishing. This book was released on 2024-01-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses different applied problems in order to demonstrate the feasibility of fractional calculus’ use, irrespective of the type of memory kernels used, to model varieties of natural phenomena and new processes emerging in advanced technologies. In this context, the book’s focus is on modelling, adequate results, and interpretations, rather than theorems and proofs. The book includes a total of 12 chapters, representing various aspects of applied fractional modelling and covering important issues in modern technologies to provide a better understanding of applications of fractional calculus in applied modelling. The book will be a versatile source of information for undergraduate and graduate students, and for scientists involved in modelling of nonlinear and hereditary phenomena.

Water-Quality Engineering in Natural Systems

Author: David A. Chin

Publisher: John Wiley & Sons

Published: 2021-02-17

Total Pages: 656

ISBN-13: 111953206X

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This textbook describes in detail the fundamental equations that govern the fate and transport of contaminants in the environment, and covers the application of these equations to engineering design and environmental impact analysis relating to contaminant discharges into rivers, lakes, wetlands, groundwater, and oceans. The third edition provides numerous end-of-chapter problems and an expanded solutions manual. Also introduced in this edition are PowerPoints slides for all chapters so that instructors have a ready-made course. Key distinguishing features of this book include: detailed coverage of the science behind water-quality regulations, state-of-the-art methods for calculating total maximum daily loads (TMDLs) for the remediation of impaired waters, modeling and control of nutrient levels in lakes and reservoirs, design of constructed treatment wetlands, design of groundwater remediation systems, design of ocean outfalls, control of oil spills in the ocean, and the design of systems to control the quality of surface runoff from watersheds into their receiving waters. In addition, the entire book is updated to provide the latest advances in the field of water-quality control. For example, concepts such as mixing zones are expanded to include physical nature and regulatory importance of mixing zones, practical aspects of outfall and diffuser design are also included, specific details of water-quality modeling are updated to reflect the latest developments on this topic, and new findings relating to priority and emerging pollutants are added.

Book Synopsis Water-Quality Engineering in Natural Systems by : David A. Chin

Download or read book Water-Quality Engineering in Natural Systems written by David A. Chin and published by John Wiley & Sons. This book was released on 2021-02-17 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook describes in detail the fundamental equations that govern the fate and transport of contaminants in the environment, and covers the application of these equations to engineering design and environmental impact analysis relating to contaminant discharges into rivers, lakes, wetlands, groundwater, and oceans. The third edition provides numerous end-of-chapter problems and an expanded solutions manual. Also introduced in this edition are PowerPoints slides for all chapters so that instructors have a ready-made course. Key distinguishing features of this book include: detailed coverage of the science behind water-quality regulations, state-of-the-art methods for calculating total maximum daily loads (TMDLs) for the remediation of impaired waters, modeling and control of nutrient levels in lakes and reservoirs, design of constructed treatment wetlands, design of groundwater remediation systems, design of ocean outfalls, control of oil spills in the ocean, and the design of systems to control the quality of surface runoff from watersheds into their receiving waters. In addition, the entire book is updated to provide the latest advances in the field of water-quality control. For example, concepts such as mixing zones are expanded to include physical nature and regulatory importance of mixing zones, practical aspects of outfall and diffuser design are also included, specific details of water-quality modeling are updated to reflect the latest developments on this topic, and new findings relating to priority and emerging pollutants are added.