Boundary Value Problems For Differential Equations

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Elementary Differential Equations with Boundary Value Problems

William F. Trench
Elementary Differential Equations with Boundary Value Problems Book PDF

Author : William F. Trench
Publisher : Thomson Brooks/Cole
Page : 766 pages
File Size : 55,7 Mb
Release : 2001
Category : Mathematics
ISBN : UCSC:32106015134783

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Elementary Differential Equations with Boundary Value Problems by William F. Trench Pdf

Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.

Applied Differential Equations with Boundary Value Problems

Vladimir Dobrushkin
Applied Differential Equations with Boundary Value Problems Book PDF

Author : Vladimir Dobrushkin
Publisher : CRC Press
Page : 1328 pages
File Size : 47,5 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9781498733724

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Applied Differential Equations with Boundary Value Problems by Vladimir Dobrushkin Pdf

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.

Numerical Solution of Boundary Value Problems for Ordinary Differential Equations

Uri M. Ascher,Robert M. M. Mattheij,Robert D. Russell
Numerical Solution of Boundary Value Problems for Ordinary Differential Equations Book PDF

Author : Uri M. Ascher,Robert M. M. Mattheij,Robert D. Russell
Publisher : SIAM
Page : 620 pages
File Size : 49,6 Mb
Release : 1994-12-01
Category : Mathematics
ISBN : 1611971233

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Numerical Solution of Boundary Value Problems for Ordinary Differential Equations by Uri M. Ascher,Robert M. M. Mattheij,Robert D. Russell Pdf

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.

Partial Differential Equations and Boundary-Value Problems with Applications

Mark A. Pinsky
Partial Differential Equations and Boundary Value Problems with Applications Book PDF

Author : Mark A. Pinsky
Publisher : American Mathematical Soc.
Page : 545 pages
File Size : 41,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821868898

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Partial Differential Equations and Boundary-Value Problems with Applications by Mark A. Pinsky Pdf

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.

A Course in Differential Equations with Boundary Value Problems

Stephen A. Wirkus,Randall J. Swift,Ryan Szypowski
A Course in Differential Equations with Boundary Value Problems Book PDF

Author : Stephen A. Wirkus,Randall J. Swift,Ryan Szypowski
Publisher : CRC Press
Page : 788 pages
File Size : 45,9 Mb
Release : 2017-01-24
Category : Mathematics
ISBN : 9781498736060

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A Course in Differential Equations with Boundary Value Problems by Stephen A. Wirkus,Randall J. Swift,Ryan Szypowski Pdf

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

Boundary Value Problems for Systems of Differential, Difference and Fractional Equations

Johnny Henderson,Rodica Luca
Boundary Value Problems for Systems of Differential Difference and Fractional Equations Book PDF

Author : Johnny Henderson,Rodica Luca
Publisher : Academic Press
Page : 322 pages
File Size : 44,6 Mb
Release : 2015-10-30
Category : Mathematics
ISBN : 9780128036792

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Boundary Value Problems for Systems of Differential, Difference and Fractional Equations by Johnny Henderson,Rodica Luca Pdf

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

Student Solutions Manual, Boundary Value Problems

David L. Powers
Student Solutions Manual Boundary Value Problems Book PDF

Author : David L. Powers
Publisher : Academic Press
Page : 152 pages
File Size : 49,6 Mb
Release : 2009-07-13
Category : Science
ISBN : 9780123756640

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Student Solutions Manual, Boundary Value Problems by David L. Powers Pdf

Student Solutions Manual, Boundary Value Problems

Focal Boundary Value Problems for Differential and Difference Equations

R.P. Agarwal
Focal Boundary Value Problems for Differential and Difference Equations Book PDF

Author : R.P. Agarwal
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 52,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401715683

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Focal Boundary Value Problems for Differential and Difference Equations by R.P. Agarwal Pdf

The last fifty years have witnessed several monographs and hundreds of research articles on the theory, constructive methods and wide spectrum of applications of boundary value problems for ordinary differential equations. In this vast field of research, the conjugate (Hermite) and the right focal point (Abei) types of problems have received the maximum attention. This is largely due to the fact that these types of problems are basic, in the sense that the methods employed in their study are easily extendable to other types of prob lems. Moreover, the conjugate and the right focal point types of boundary value problems occur frequently in real world problems. In the monograph Boundary Value Problems for Higher Order Differential Equations published in 1986, we addressed the theory of conjugate boundary value problems. At that time the results on right focal point problems were scarce; however, in the last ten years extensive research has been done. In Chapter 1 of the mono graph we offer up-to-date information of this newly developed theory of right focal point boundary value problems. Until twenty years ago Difference Equations were considered as the dis cretizations of the differential equations. Further, it was tacitly taken for granted that the theories of difference and differential equations are parallel. However, striking diversities and wide applications reported in the last two decades have made difference equations one of the major areas of research.

Differential Equations with Boundary-value Problems

Dennis G. Zill
Differential Equations with Boundary value Problems Book PDF

Author : Dennis G. Zill
Publisher : PWS Publishing Company
Page : 696 pages
File Size : 46,5 Mb
Release : 1989
Category : Mathematics
ISBN : UOM:39015016363700

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Differential Equations with Boundary-value Problems by Dennis G. Zill Pdf

Includes solutions to odd-numbered exercises.

Boundary Value Problems From Higher Order Differential Equations

Ravi P Agarwal
Boundary Value Problems From Higher Order Differential Equations Book PDF

Author : Ravi P Agarwal
Publisher : World Scientific
Page : 321 pages
File Size : 51,8 Mb
Release : 1986-07-01
Category : Mathematics
ISBN : 9789814513630

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Boundary Value Problems From Higher Order Differential Equations by Ravi P Agarwal Pdf

Contents: Some ExamplesLinear ProblemsGreen's FunctionMethod of Complementary FunctionsMethod of AdjointsMethod of ChasingSecond Order EquationsError Estimates in Polynomial InterpolationExistence and UniquenessPicard's and Approximate Picard's MethodQuasilinearization and Approximate QuasilinearizationBest Possible Results: Weight Function TechniqueBest Possible Results: Shooting MethodsMonotone Convergence and Further ExistenceUniqueness Implies ExistenceCompactness Condition and Generalized SolutionsUniqueness Implies UniquenessBoundary Value FunctionsTopological MethodsBest Possible Results: Control Theory MethodsMatching MethodsMaximal SolutionsMaximum PrincipleInfinite Interval ProblemsEquations with Deviating Arguments Readership: Graduate students, numerical analysts as well as researchers who are studying open problems. Keywords:Boundary Value Problems;Ordinary Differential Equations;Green's Function;Quasilinearization;Shooting Methods;Maximal Solutions;Infinite Interval Problems

Differential Equations with Boundary-value Problems

Dennis G. Zill,Michael R. Cullen
Differential Equations with Boundary value Problems Book PDF

Author : Dennis G. Zill,Michael R. Cullen
Publisher : Unknown
Page : 619 pages
File Size : 41,8 Mb
Release : 2005
Category : Boundary value problems
ISBN : 0534420745

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Differential Equations with Boundary-value Problems by Dennis G. Zill,Michael R. Cullen Pdf

Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the "how" behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This accessible text speaks to students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.

Elementary Differential Equations and Boundary Value Problems

William E. Boyce,Richard C. DiPrima,Douglas B. Meade
Elementary Differential Equations and Boundary Value Problems Book PDF

Author : William E. Boyce,Richard C. DiPrima,Douglas B. Meade
Publisher : John Wiley & Sons
Page : 624 pages
File Size : 48,8 Mb
Release : 2017-08-21
Category : Mathematics
ISBN : 9781119443766

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Elementary Differential Equations and Boundary Value Problems by William E. Boyce,Richard C. DiPrima,Douglas B. Meade Pdf

Elementary Differential Equations and Boundary Value Problems 11e, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.

Boundary Value Problems, Weyl Functions, and Differential Operators

Jussi Behrndt,Seppo Hassi,Henk de Snoo
Boundary Value Problems Weyl Functions and Differential Operators Book PDF

Author : Jussi Behrndt,Seppo Hassi,Henk de Snoo
Publisher : Springer Nature
Page : 772 pages
File Size : 45,8 Mb
Release : 2020-01-03
Category : Mathematics
ISBN : 9783030367145

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Boundary Value Problems, Weyl Functions, and Differential Operators by Jussi Behrndt,Seppo Hassi,Henk de Snoo Pdf

This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.

Boundary Value Problems

David L. Powers
Boundary Value Problems Book PDF

Author : David L. Powers
Publisher : Elsevier
Page : 366 pages
File Size : 55,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483269788

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Boundary Value Problems by David L. Powers Pdf

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.

Differential Equations with Boundary Value Problems

James R. Brannan
Differential Equations with Boundary Value Problems Book PDF

Author : James R. Brannan
Publisher : John Wiley & Sons
Page : 450 pages
File Size : 50,9 Mb
Release : 2010-11-08
Category : Mathematics
ISBN : 9780470595350

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Differential Equations with Boundary Value Problems by James R. Brannan Pdf

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.