Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
A Closer Look At The Diffusion Equation
Download A Closer Look At The Diffusion Equation full books in PDF, epub, and Kindle. Read online A Closer Look At The Diffusion Equation ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
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 with total page 0 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"--
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.
Book Synopsis The Mathematics of Diffusion by : John Crank
Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Book Synopsis Pattern Recognition by : Walter Kropatsch
Download or read book Pattern Recognition written by Walter Kropatsch and published by Springer. This book was released on 2005-09-14 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is both an honor and a pleasure to hold the 27th Annual Meeting of the German Association for Pattern Recognition, DAGM 2005, at the Vienna U- versity of Technology, Austria, organized by the Pattern Recognition and Image Processing (PRIP) Group. We received 122 contributions of which we were able to accept 29 as oral presentations and 31 as posters. Each paper received three reviews, upon which decisions were made based on correctness, presentation, technical depth, scienti?c signi?cance and originality. The selection as oral or poster presentation does not signify a quality grading but re?ects attractiveness to the audience which is also re?ected in the order of appearance of papers in these proceedings. The papers are printed in the same order as presented at the symposium and posters are integrated in the corresponding thematic session. In putting these proceedings together, many people played signi?cant roles which we would like to acknowledge. First of all our thanks go to the authors who contributed their work to the symposium. Second, we are grateful for the dedicated work of the 38 members of the Program Committee for their e?ort in evaluating the submitted papers and inprovidingthe necessarydecisionsupport information and the valuable feedback for the authors. Furthermore, the P- gram Committee awarded prizes for the best papers, and we want to sincerely thank the donors. We were honored to have the following three invited speakers at the conf- ence: – Jan P.
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.
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 1544 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.
Book Synopsis Finite Difference Computing with PDEs by : Hans Petter Langtangen
Download or read book Finite Difference Computing with PDEs written by Hans Petter Langtangen and published by Springer. This book was released on 2017-06-21 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
Book Synopsis Basic Linear Partial Differential Equations by : François Treves
Download or read book Basic Linear Partial Differential Equations written by François Treves and published by Academic Press. This book was released on 1975-08-08 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Linear Partial Differential Equations
Book Synopsis Elements of Scientific Computing by : Aslak Tveito
Download or read book Elements of Scientific Computing written by Aslak Tveito and published by Springer Science & Business Media. This book was released on 2010-09-24 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming.
Book Synopsis Calculus for the Natural Sciences by : Michel Helfgott
Download or read book Calculus for the Natural Sciences written by Michel Helfgott and published by SIAM. This book was released on 2023-09-11 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this textbook on calculus of one variable, applications to the natural sciences play a central role. Examples from biology, chemistry, and physics are discussed in detail without compromising the mathematical aspects essential to learning differential and integral calculus. Calculus for the Natural Sciences distinguishes itself from other textbooks on the topic by balancing theory, mathematical techniques, and applications to motivate students and bridge the gap between mathematics and the natural sciences and engineering; employing real data to convey the main ideas underlying the scientific method; and using SageMath and R to perform calculations and write short programs, thus giving the teacher more time to explain important concepts. This textbook is intended for first-year students in mathematics, engineering, and the natural sciences and is appropriate for a two-semester course on calculus I and II (freshman calculus of one variable). It can also be used for self-study by engineers and natural scientists.
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.
Book Synopsis Random Walk and the Heat Equation by : Gregory F. Lawler
Download or read book Random Walk and the Heat Equation written by Gregory F. Lawler and published by American Mathematical Soc.. This book was released on 2010-11-22 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equation and its solutions. By studying the heat equation and considering the individual random particles, however, one gains further intuition into the problem. While this is now standard for many researchers, this approach is generally not presented at the undergraduate level. In this book, Lawler introduces the heat equations and the closely related notion of harmonic functions from a probabilistic perspective. The theme of the first two chapters of the book is the relationship between random walks and the heat equation. This first chapter discusses the discrete case, random walk and the heat equation on the integer lattice; and the second chapter discusses the continuous case, Brownian motion and the usual heat equation. Relationships are shown between the two. For example, solving the heat equation in the discrete setting becomes a problem of diagonalization of symmetric matrices, which becomes a problem in Fourier series in the continuous case. Random walk and Brownian motion are introduced and developed from first principles. The latter two chapters discuss different topics: martingales and fractal dimension, with the chapters tied together by one example, a random Cantor set. The idea of this book is to merge probabilistic and deterministic approaches to heat flow. It is also intended as a bridge from undergraduate analysis to graduate and research perspectives. The book is suitable for advanced undergraduates, particularly those considering graduate work in mathematics or related areas.
Book Synopsis Earth System Geophysics by : Steve R. Dickman
Download or read book Earth System Geophysics written by Steve R. Dickman and published by John Wiley & Sons. This book was released on 2024-12-17 with total page 933 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earth System Geophysics Geophysics helps us understand how our planet works by connecting complex real-world phenomena with fundamental physical laws. It provides the tools, both conceptual and quantitative, for understanding interactions between the different components of the Earth System: the solid earth, oceans, atmosphere, and biosphere. Earth System Geophysics is a comprehensive textbook for upper-level undergraduate and graduate students in the Earth sciences that uses Earth System Science as the framework for learning about geophysics. About this volume: Presents convection as the underlying paradigm that drives the Earth System Uses math and physics in an accessible way to understand processes on and within the Earth Frames natural processes and events in terms of cause and effect Builds gradually from basic to advanced concepts and equations Develops quantitative skills through applied examples Heavily referenced, allowing students to pursue topics in greater depth Relevant for students from across the physical sciences and engineering The American Geophysical Union promotes discovery in Earth and space science for the benefit of humanity. Its publications disseminate scientific knowledge and provide resources for researchers, students, and professionals.
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
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.
Book Synopsis Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations by : Willem Hundsdorfer
Download or read book Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations written by Willem Hundsdorfer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique book on Reaction-Advection-Diffusion problems
Book Synopsis Electrochemical Impedance Spectroscopy And Related Techniques: From Basics To Advanced Applications by : Laurence M Peter
Download or read book Electrochemical Impedance Spectroscopy And Related Techniques: From Basics To Advanced Applications written by Laurence M Peter and published by World Scientific. This book was released on 2023-12-14 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins by introducing the basic concepts of impedance to non-specialist readers, who may have only an elementary knowledge of physics and mathematics. Mathematical concepts are explained clearly at appropriate points in a series of Theory Notes. Subsequent chapters cover RCL (resistor, capacitor, inductor) circuits before developing the key ideas behind the application of impedance spectroscopy to electrochemical systems. Circuit elements used to model electron transfer, double-layer charging and diffusion are described in detail, along with Kramers-Kronig testing of experimental data. The book explains how potentiostats and frequency-response analyzers work and evaluates a wealth of experimental data obtained either during the annual Bath impedance courses or in the laboratories of the author and his colleagues.Topics covered include not only conventional electrochemical systems, such as the rotating disc electrode and ultramicroelectrodes, but also unconventional solar cells and the application of frequency-resolved techniques in spectroelectrochemistry. Finally, the last two chapters introduce techniques based on modulation of light intensity rather than voltage or current. The book concludes with worked answers to the problems set out in earlier chapters.
