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Bondary value problems
Bondary value problems
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الكتاب الأول
Mixed Boundary Value Problems (Chapman & Hall/Crcapplied Mathematics and Nonlinear Science)
By Dean G. Duffy
Product Description:
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الكتاب الأول
Mixed Boundary Value Problems (Chapman & Hall/Crcapplied Mathematics and Nonlinear Science)
By Dean G. Duffy
- Publisher: Chapman & Hall/CRC
- Number Of Pages: 488
- Publication Date: 2008-03-26
- ISBN-10 / ASIN: 1584885793
- ISBN-13 / EAN: 9781584885795
- Binding: Hardcover
Product Description:
Methods for Solving Mixed Boundary Value Problems
An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equations.
Straightforward Presentation of Mathematical Techniques
The author first provides examples of mixed boundary value problems and the mathematical background of integral functions and special functions. He then presents classic mathematical physics problems to explain the origin of mixed boundary value problems and the mathematical techniques that were developed to handle them. The remaining chapters solve various mixed boundary value problems using separation of variables, transform methods, the Wiener–Hopf technique, Green’s function, and conformal mapping.
Decipher Mixed Boundary Value Problems That Occur in Diverse Fields
Including MATLAB® to help with problem solving, this book provides the mathematical skills needed for the solution of mixed boundary value prob
DownloadAn up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equations.
Straightforward Presentation of Mathematical Techniques
The author first provides examples of mixed boundary value problems and the mathematical background of integral functions and special functions. He then presents classic mathematical physics problems to explain the origin of mixed boundary value problems and the mathematical techniques that were developed to handle them. The remaining chapters solve various mixed boundary value problems using separation of variables, transform methods, the Wiener–Hopf technique, Green’s function, and conformal mapping.
Decipher Mixed Boundary Value Problems That Occur in Diverse Fields
Including MATLAB® to help with problem solving, this book provides the mathematical skills needed for the solution of mixed boundary value prob
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Omar_Absi
New Member
Boundary Value Problems, Fifth Edition: and Partial Differential Equations
By David L. Powers
- Publisher: Academic Press
- Number Of Pages: 520
- Publication Date: 2005-10-19
- ISBN-10 / ASIN: 0125637381
- ISBN-13 / EAN: 9780125637381
- Binding: Hardcover
Book Description:
Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, (Clarkson) has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables.
Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering.
* CD with animations and graphics of solutions, additional exercises and chapter review questions
* Nearly 900 exercises ranging in difficulty
* Many fully worked examples
Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering.
* CD with animations and graphics of solutions, additional exercises and chapter review questions
* Nearly 900 exercises ranging in difficulty
* Many fully worked examples
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Fourier Analysis and Boundary Value Problems
By Enrique A. Gonzalez-Velasco
- Publisher: Academic Press
- Number Of Pages: 551
- Publication Date: 1995-01-15
- ISBN-10 / ASIN: 0122896408
- ISBN-13 / EAN: 9780122896408
- Binding: Hardcover
Book Description:
Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics.
A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field.
Key Features
* Topics are covered from a historical perspective with biographical information on key contributors to the field
* The text contains more than 500 exercises
* Includes practical applications of the equations to problems in both engineering and physics
A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field.
Key Features
* Topics are covered from a historical perspective with biographical information on key contributors to the field
* The text contains more than 500 exercises
* Includes practical applications of the equations to problems in both engineering and physics
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Omar_Absi
New Member
Fourier Series and Boundary Value Problems
By James Ward Brown, Ruel V. Churchill
Product Description:
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Green's Functions and Boundary Value Problems (Pure and Applied Mathematics)
By Ivar Stakgold
Product Description:
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By James Ward Brown, Ruel V. Churchill
- Publisher: Mcgraw-Hill College
- Number Of Pages: 320
- Publication Date: 1993-01-01
- ISBN-10 / ASIN: 0070082022
- ISBN-13 / EAN: 9780070082021
- Binding: Hardcover
Product Description:
This is an introductory treatment of Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It is designed for students who have completed a first course in ordinary differential equations and the equivalent of a term of advanced calculus. In order that the book be accessible to as many students as possible, there are footnotes referring to texts which give proofs of the more delicate results in advanced calculus that are occasionally needed. The physical applications, explained in some detail, are kept on a fairly elementary level. The first objective of the book is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. Representations of functions by Fourier series involving sine and cosine functions are given special attention. Fourier integral representations and expansions in series of Bessel functions and Legendre polynomials are also treated. The second objective is a clear presentation of the classical method of separations of variables used in solving boundary value problems with the aid of those representations. Some attention is given to the verification of solutions and to uniqueness of solutions, for the method cannot be presented properly without such considerations. Other methods are treated in the authors' book Complex Variables and Applications, and in Professor Churchill's book, Operational Mathematics.
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Green's Functions and Boundary Value Problems (Pure and Applied Mathematics)
By Ivar Stakgold
- Publisher: John Wiley & Sons Inc
- Number Of Pages: 656
- Publication Date: 1979-06
- ISBN-10 / ASIN: 0471819670
- ISBN-13 / EAN: 9780471819677
- Binding: Hardcover
Product Description:
This revised and updated Second Edition of Green's Functions and Boundary Value Problems maintains a careful balance between sound mathematics and meaningful applications. Central to the text is a down-to-earth approach that shows the reader how to use differential and integral equations when tackling significant problems in the physical sciences, engineering, and applied mathematics.
Ivar Stakgold incorporates developments that have altered the field of applied mathematics in recent decades--particularly in areas of modeling, Fourier analysis, fixed-point theorems, inverse problems, asymptotics, and nonlinear methods. This modernized text, however, retains the many features that made its predecessor one of the most successful graduate-level texts of its kind, including:
* A unique blend of topics
* A balanced discussion of theory and applications
* 44 illustrations and numerous practical examples that supplement the text
* Chapter introductions and clear explanations of basic concepts
* Plentiful exercises, many of which are new to this edition
Green's Functions and Boundary Value Problems is an ideal text for a modern course in applied mathematics designed for students in the physical sciences, engineering, and mathematics. It is also an excellent reference for practicing professionals in these areas.
Table of Contents:
Preface to the Second Edition
Preface to the First Edition
Preliminaries 1
1 Green's Functions (Intuitive Ideas) 53
2 The Theory of Distributions 97
3 One-Dimensional Boundary Value Problems 201
4 Hilbert and Banach Spaces 242
5 Operator Theory 317
6 Integral Equations 370
7 Spectral Theory of Second-Order Differential Operators 435
8 Partial Differential Equations 491
9 Nonlinear Problems 597
Index 683
Ivar Stakgold incorporates developments that have altered the field of applied mathematics in recent decades--particularly in areas of modeling, Fourier analysis, fixed-point theorems, inverse problems, asymptotics, and nonlinear methods. This modernized text, however, retains the many features that made its predecessor one of the most successful graduate-level texts of its kind, including:
* A unique blend of topics
* A balanced discussion of theory and applications
* 44 illustrations and numerous practical examples that supplement the text
* Chapter introductions and clear explanations of basic concepts
* Plentiful exercises, many of which are new to this edition
Green's Functions and Boundary Value Problems is an ideal text for a modern course in applied mathematics designed for students in the physical sciences, engineering, and mathematics. It is also an excellent reference for practicing professionals in these areas.
Table of Contents:
Preface to the Second Edition
Preface to the First Edition
Preliminaries 1
1 Green's Functions (Intuitive Ideas) 53
2 The Theory of Distributions 97
3 One-Dimensional Boundary Value Problems 201
4 Hilbert and Banach Spaces 242
5 Operator Theory 317
6 Integral Equations 370
7 Spectral Theory of Second-Order Differential Operators 435
8 Partial Differential Equations 491
9 Nonlinear Problems 597
Index 683
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Omar_Absi
New Member
Numerical Solution of Boundary Value Problems for Ordinary Differential Equations (Classics in Applied Mathematics)
By Uri M. Ascher, Robert M. M. Mattheij, Robert D. Russell
- Publisher: Society for Industrial Mathematics
- Number Of Pages: 621
- Publication Date: 1987-01-01
- ISBN-10 / ASIN: 0898713544
- ISBN-13 / EAN: 9780898713541
- Binding: Paperback
Product Description:
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.
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Two-Point Boundary Value Problems: Lower and Upper Solutions, Volume 205 (Mathematics in Science and Engineering)
By C. De Coster, P. Habets
- Publisher: Elsevier Science
- Number Of Pages: 502
- Publication Date: 2006-06-14
- ISBN-10 / ASIN: 044452200X
- ISBN-13 / EAN: 9780444522009
- Binding: Hardcover
Book Description:
This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction.
· Presents the fundamental features of the method
· Construction of lower and upper solutions in problems
· Working applications and illustrated theorems by examples
· Description of the history of the method and Bibliographical notes
· Presents the fundamental features of the method
· Construction of lower and upper solutions in problems
· Working applications and illustrated theorems by examples
· Description of the history of the method and Bibliographical notes
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