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Boundary Value Problems Of Linear Partial Differential Equations For Engineers And Scientists
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Book Synopsis Linear Partial Differential Equations for Scientists and Engineers by : Tyn Myint-U
Download or read book Linear Partial Differential Equations for Scientists and Engineers written by Tyn Myint-U and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.
Book Synopsis Boundary Value Problems of Linear Partial Differential Equations for Engineers and Scientists by : Shien-siu Shu
Download or read book Boundary Value Problems of Linear Partial Differential Equations for Engineers and Scientists written by Shien-siu Shu and published by World Scientific. This book was released on 1987 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised version of the author's lecture notes in a graduate course of applied mathematics. It is based on the idea that it may be more interesting to learn mathematics through the introduction of concrete examples. The materials are organised in a logical order that transmits the package of mathematical knowledge and methods to the students in an efficient manner.
Book Synopsis Handbook of Linear Partial Differential Equations for Engineers and Scientists by : Andrei D. Polyanin
Download or read book Handbook of Linear Partial Differential Equations for Engineers and Scientists written by Andrei D. Polyanin and published by CRC Press. This book was released on 2001-11-28 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with
Book Synopsis Partial Differential Equations for Scientists and Engineers by : Stanley J. Farlow
Download or read book Partial Differential Equations for Scientists and Engineers written by Stanley J. Farlow and published by Courier Corporation. This book was released on 2012-03-08 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.
Book Synopsis Differential Equations and Group Methods for Scientists and Engineers by : James M. Hill
Download or read book Differential Equations and Group Methods for Scientists and Engineers written by James M. Hill and published by CRC Press. This book was released on 1992-03-17 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.
Book Synopsis Partial Differential Equations for Scientists and Engineers by : Geoffrey Stephenson
Download or read book Partial Differential Equations for Scientists and Engineers written by Geoffrey Stephenson and published by World Scientific Publishing Company Incorporated. This book was released on 1996-01-01 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and applications of such equations occur in a variety of different fields, ranging from fluid dynamics, electromagnetism, heat conduction and diffusion, to quantum mechanics, wave propagation and general relativity. This volume introduces the important methods used in the solution of partial differential equations. Written primarily for second-year and final-year students taking physics and engineering courses, it will also be of value to mathematicians studying mathematical methods as part of their course. The text, which assumes only that the reader has followed a good basic first-year ancillary mathematics course, is self-contained and is an unabridged republication of the third edition published by Longman in 1985.
Book Synopsis Partial Differential Equations by : Thomas Hillen
Download or read book Partial Differential Equations written by Thomas Hillen and published by John Wiley & Sons. This book was released on 2014-08-21 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uniquely provides fully solved problems for linear partial differential equations and boundary value problems Partial Differential Equations: Theory and Completely Solved Problems utilizes real-world physical models alongside essential theoretical concepts. With extensive examples, the book guides readers through the use of Partial Differential Equations (PDEs) for successfully solving and modeling phenomena in engineering, biology, and the applied sciences. The book focuses exclusively on linear PDEs and how they can be solved using the separation of variables technique. The authors begin by describing functions and their partial derivatives while also defining the concepts of elliptic, parabolic, and hyperbolic PDEs. Following an introduction to basic theory, subsequent chapters explore key topics including: • Classification of second-order linear PDEs • Derivation of heat, wave, and Laplace’s equations • Fourier series • Separation of variables • Sturm-Liouville theory • Fourier transforms Each chapter concludes with summaries that outline key concepts. Readers are provided the opportunity to test their comprehension of the presented material through numerous problems, ranked by their level of complexity, and a related website features supplemental data and resources. Extensively class-tested to ensure an accessible presentation, Partial Differential Equations is an excellent book for engineering, mathematics, and applied science courses on the topic at the upper-undergraduate and graduate levels.
Book Synopsis Group Invariance in Engineering Boundary Value Problems by : R. Seshadri
Download or read book Group Invariance in Engineering Boundary Value Problems written by R. Seshadri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: REFEREN CES . 156 9 Transforma.tion of a Boundary Value Problem to an Initial Value Problem . 157 9.0 Introduction . 157 9.1 Blasius Equation in Boundary Layer Flow . 157 9.2 Longitudinal Impact of Nonlinear Viscoplastic Rods . 163 9.3 Summary . 168 REFERENCES . . . . . . . . . . . . . . . . . . 168 . 10 From Nonlinear to Linear Differential Equa.tions Using Transformation Groups. . . . . . . . . . . . . . 169 . 10.1 From Nonlinear to Linear Differential Equations . 170 10.2 Application to Ordinary Differential Equations -Bernoulli's Equation . . . . . . . . . . . 173 10.3 Application to Partial Differential Equations -A Nonlinear Chemical Exchange Process . 178 10.4 Limitations of the Inspectional Group Method . 187 10.5 Summary . 188 REFERENCES . . . . 188 11 Miscellaneous Topics . 190 11.1 Reduction of Differential Equations to Algebraic Equations 190 11.2 Reduction of Order of an Ordinary Differential Equation . 191 11.3 Transformat.ion From Ordinary to Partial Differential Equations-Search for First Integrals . . . . . . " 193 . 11.4 Reduction of Number of Variables by Multiparameter Groups of Transformations . . . . . . . . .. . . . 194 11.5 Self-Similar Solutions of the First and Second Kind . . 202 11.6 Normalized Representation and Dimensional Consideration 204 REFERENCES .206 Problems . 208 .220 Index .. Chapter 1 INTRODUCTION AND GENERAL OUTLINE Physical problems in engineering science are often described by dif ferential models either linear or nonlinear. There is also an abundance of transformations of various types that appear in the literature of engineer ing and mathematics that are generally aimed at obtaining some sort of simplification of a differential model.
Book Synopsis Boundary Value Problems by : David L. Powers
Download or read book Boundary Value Problems written by David L. Powers and published by Academic Press. This book was released on 2006 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- Chapter 0. Ordinary Differential Equations -- Chapter 1. Fourier Series and Integrals -- Chapter 2. The Heat Equation -- Chapter 3. The Wave Equation -- Chapter 4. The Potential Equation -- Chapter 5. Higher Dimensions & Other Coordinates.
Book Synopsis A Course in Differential Equations with Boundary Value Problems by : Stephen A. Wirkus
Download or read book A Course in Differential Equations with Boundary Value Problems written by Stephen A. Wirkus and published by CRC Press. This book was released on 2017-01-24 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods of solution, both analytical and numerical, with emphasis on methods used in the typical engineering, physics, or mathematics student’s field of study. The text provides sufficient problems so that even the pure math major will be sufficiently challenged. The authors offer a very flexible text to meet a variety of approaches, including a traditional course on the topic. The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra. Most significantly, computer labs are given in MATLAB®, Mathematica®, and MapleTM. The book may be used for a course to introduce and equip the student with a knowledge of the given software. Sample course outlines are included. Features MATLAB®, Mathematica®, and MapleTM are incorporated at the end of each chapter All three software packages have parallel code and exercises There are numerous problems of varying difficulty for both the applied and pure math major, as well as problems for engineering, physical science and other students. An appendix that gives the reader a "crash course" in the three software packages Chapter reviews at the end of each chapter to help the students review Projects at the end of each chapter that go into detail about certain topics and introduce new topics that the students are now ready to see Answers to most of the odd problems in the back of the book
Book Synopsis Boundary Value Problems for Linear Partial Differential Equations by : Manuel Mañas
Download or read book Boundary Value Problems for Linear Partial Differential Equations written by Manuel Mañas and published by CRC Press. This book was released on 2024-07-12 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary value problems play a significant role in modeling systems characterized by established conditions at their boundaries. On the other hand, initial value problems hold paramount importance in comprehending dynamic processes and foreseeing future behaviors. The fusion of these two types of problems yields profound insights into the intricacies of the conduct exhibited by many physical and mathematical systems regulated by linear partial differential equations. Boundary Value Problems for Linear Partial Differential Equations provides students with the opportunity to understand and exercise the benefits of this fusion, equipping them with realistic, practical tools to study solvable linear models of electromagnetism, fluid dynamics, geophysics, optics, thermodynamics and specifically, quantum mechanics. Emphasis is devoted to motivating the use of these methods by means of concrete examples taken from physical models. Features No prerequisites apart from knowledge of differential and integral calculus and ordinary differential equations. Provides students with practical tools and applications Contains numerous examples and exercises to help readers understand the concepts discussed in the book.
Book Synopsis Differential Equations with Boundary Value Problems by : James R. Brannan
Download or read book Differential Equations with Boundary Value Problems written by James R. Brannan and published by John Wiley & Sons. This book was released on 2010-11-08 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike other books in the market, this second edition presents differential equations consistent with the way scientists and engineers use modern methods in their work. Technology is used freely, with more emphasis on modeling, graphical representation, qualitative concepts, and geometric intuition than on theoretical issues. It also refers to larger-scale computations that computer algebra systems and DE solvers make possible. And more exercises and examples involving working with data and devising the model provide scientists and engineers with the tools needed to model complex real-world situations.
Book Synopsis Solving Ordinary and Partial Boundary Value Problems in Science and Engineering by : Karel Rektorys
Download or read book Solving Ordinary and Partial Boundary Value Problems in Science and Engineering written by Karel Rektorys and published by CRC Press. This book was released on 1998-10-20 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations. Discussions include: ordinary differential equations classical theory of partial differential equations Laplace and Poisson equations heat equation variational methods of solution of corresponding boundary value problems methods of solution for evolution partial differential equations The author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary. Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.
Book Synopsis Partial Differential Equations and Boundary-Value Problems with Applications by : Mark A. Pinsky
Download or read book Partial Differential Equations and Boundary-Value Problems with Applications written by Mark A. Pinsky and published by American Mathematical Soc.. This book was released on 2011 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.
Book Synopsis Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition by : Andrei D. Polyanin
Download or read book Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition written by Andrei D. Polyanin and published by Chapman and Hall/CRC. This book was released on 2015-12-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This large mathematical reference for scientists and engineers now contains over 3,200 linear partial differential equations and linear physics equations with solutions as well as exact asymptotic, approximate analytical, numeric, symbolic and qualitative methods for solving and analyzing linear equations. In addition, first, second, third, fourth and higher order linear partial differential equations are considered. A number of new linear equations, exact solutions transformations and methods are described along with applications from heat and mass transfer, aerodynamics, elasticity, acoustics, electrostatics, and many other fields.
Book Synopsis Elementary Differential Equations and Boundary Value Problems by : William E. Boyce
Download or read book Elementary Differential Equations and Boundary Value Problems written by William E. Boyce and published by . This book was released on 1965 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revision of Boyce & DiPrima's market-leading text maintains its classic strengths: a contemporary approach with flexible chapter construction, clear exposition, and outstanding problems. Like previous editions, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations and Boundary Value Problems as they apply to engineering and the sciences. A perennial best seller designed for engineers and scientists who need to use Elementary Differential Equations in their work and studies. Covers all the essential topics on differential equations, including series solutions, Laplace transforms, systems of equations, numerical methods and phase plane methods. Offers clear explanations detailed with many current examples. Before you buy, make sure you are getting the best value and all the learning tools you'll need to succeed in your course. If your professor requires eGrade Plus, you can purchase it here, with your text at no additional cost. With this special eGrade Plus package you get the new text- - no highlighting, no missing pages, no food stains- - and a registration code to eGrade Plus, a suite of effective learning tools to help you get a better grade. All this, in one convenient package! eGrade Plus gives you: A complete online version of the textbook Over 500 homework questions from the text rendered algorithmically with full hints and solutions Chapter Reviews, which summarize the main points and highlight key ideas in each chapter Student Solutions Manual Technology Manuals for Maple, Mathematica, and MatLa Link to JustAsk! eGradePlus is a powerful online tool that provides students with an integrated suite of teaching and learning resources and an online version of the text in one easy-to-use website.
Book Synopsis Nonlinear Partial Differential Equations for Scientists and Engineers by : Lokenath Debnath
Download or read book Nonlinear Partial Differential Equations for Scientists and Engineers written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.
