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Boundary Value Problems For Partial Differential Equations And Their Applications
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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 Applied Differential Equations with Boundary Value Problems by : Vladimir Dobrushkin
Download or read book Applied Differential Equations with Boundary Value Problems written by Vladimir Dobrushkin and published by CRC Press. This book was released on 2017-10-19 with total page 1225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s popular textbook adds coverage of boundary value problems. The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations. This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results.
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 Boundary Value Problems by : David L. Powers
Download or read book Boundary Value Problems written by David L. Powers and published by Elsevier. This book was released on 2014-05-10 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems is a text material on partial differential equations that teaches solutions of boundary value problems. The book also aims to build up intuition about how the solution of a problem should behave. The text consists of seven chapters. Chapter 1 covers the important topics of Fourier Series and Integrals. The second chapter deals with the heat equation, introducing separation of variables. Material on boundary conditions and Sturm-Liouville systems is included here. Chapter 3 presents the wave equation; estimation of eigenvalues by the Rayleigh quotient is mentioned briefly. The potential equation is the topic of Chapter 4, which closes with a section on classification of partial differential equations. Chapter 5 briefly covers multidimensional problems and special functions. The last two chapters, Laplace Transforms and Numerical Methods, are discussed in detail. The book is intended for third and fourth year physics and engineering students.
Book Synopsis Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics by : N. E. Tovmasyan
Download or read book Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics written by N. E. Tovmasyan and published by World Scientific. This book was released on 1994 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to boundary value problems for general partial differential equations. Efficient methods of resolution of boundary value problems for elliptic equations, based on the theory of analytic functions and having great theoretical and practical importance are developed.A new approach to the investigation of electromagnetic fields is sketched, permitting laws of propagation of electromagnetic energy at a great distance, is outlined and asymptotic formulae for solutions of Maxwell's equation is obtained. These equations are also applied to the efficient resolution of problems.The book is based mostly on the investigation of the author, a considerable part of which being published for the first time.
Book Synopsis Partial Differential Equations with Fourier Series and Boundary Value Problems by : Nakhle H. Asmar
Download or read book Partial Differential Equations with Fourier Series and Boundary Value Problems written by Nakhle H. Asmar and published by Courier Dover Publications. This book was released on 2017-03-23 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications. The Student Solutions Manual can be downloaded free from Dover's site; instructions for obtaining the Instructor Solutions Manual is included in the book. 2004 edition, with minor revisions.
Book Synopsis Ordinary and Partial Differential Equations by : Ravi P. Agarwal
Download or read book Ordinary and Partial Differential Equations written by Ravi P. Agarwal and published by Springer Science & Business Media. This book was released on 2008-11-13 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.
Book Synopsis Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations by : Dan Henry
Download or read book Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations written by Dan Henry and published by Cambridge University Press. This book was released on 2005-05-26 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation of the boundary is a rather neglected topic in the study of partial differential equations, in part because it often entails long and difficult caluclations. In this book, first published in 2005, the author carefully discusses a calculus that overcomes the computational morass, and he goes on to develop more general forms of standard theorems, helping to answer a problems involving boundary perturbations.
Book Synopsis Partial Differential Equations and Boundary Value Problems by : Nakhlé H. Asmar
Download or read book Partial Differential Equations and Boundary Value Problems written by Nakhlé H. Asmar and published by . This book was released on 2000 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: For introductory courses in PDEs taken by majors in engineering, physics, and mathematics. Packed with examples, this text provides a smooth transition from a course in elementary ordinary differential equations to more advanced concepts in a first course in partial differential equations. Asmar's relaxed style and emphasis on applications make the material understandable even for students with limited exposure to topics beyond calculus. This computer-friendly text encourages the use of computer resources for illustrating results and applications, but it is also suitable for use without computer access. Additional specialized topics are included that are covered independently of each other and can be covered by instructors as desired.
Book Synopsis Boundary value problems for partial differential equations and their applications by : L. D. Magnaradze
Download or read book Boundary value problems for partial differential equations and their applications written by L. D. Magnaradze and published by . This book was released on 1988 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Boundary Value Problems For Partial Differential Equations And Applications In Electrodynamics by : N E Toymasyan
Download or read book Boundary Value Problems For Partial Differential Equations And Applications In Electrodynamics written by N E Toymasyan and published by World Scientific. This book was released on 1994-02-08 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to boundary value problems for general partial differential equations. Efficient methods of resolution of boundary value problems for elliptic equations, based on the theory of analytic functions and having great theoretical and practical importance are developed.A new approach to the investigation of electromagnetic fields is sketched, permitting laws of propagation of electromagnetic energy at a great distance, is outlined and asymptotic formulae for solutions of Maxwell's equation is obtained. These equations are also applied to the efficient resolution of problems.The book is based mostly on the investigation of the author, a considerable part of which being published for the first time.
Book Synopsis Numerical Solution of Boundary Value Problems for Ordinary Differential Equations by : Uri M. Ascher
Download or read book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 1994-12-01 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.
Book Synopsis Boundary Value Problems for Systems of Differential, Difference and Fractional Equations by : Johnny Henderson
Download or read book Boundary Value Problems for Systems of Differential, Difference and Fractional Equations written by Johnny Henderson and published by Academic Press. This book was released on 2015-10-30 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions Discusses second order difference equations with multi-point boundary conditions Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions
Book Synopsis Boundary Value Problems for Partial Differential Equations and Applications by : Jacques-Louis Lions
Download or read book Boundary Value Problems for Partial Differential Equations and Applications written by Jacques-Louis Lions and published by Elsevier Masson. This book was released on 1993 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations and Their Applications by : Peter Charles Greiner
Download or read book Partial Differential Equations and Their Applications written by Peter Charles Greiner and published by American Mathematical Soc.. This book was released on 1997 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents lectures given at the 1995 Annual Seminar of the Canadian Mathematical Society on Partial Differential Equations and Their Applications held at the University of Toronto in June 1995. This volume includes contributions on a variety of topics related to PDE, such as spectral asymptotics, harmonic analysis, and applications to geometry.
Book Synopsis Numerical Solution of Nonlinear Boundary Value Problems with Applications by : Milan Kubicek
Download or read book Numerical Solution of Nonlinear Boundary Value Problems with Applications written by Milan Kubicek and published by Courier Corporation. This book was released on 2008-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.
