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Mixed Boundary Value Problems de Dean G. Duffy

Mixed Boundary Value Problems: Chapman & Hall/CRC Applied Mathematics and Nonlinear Science

Autor Dean G. Duffy
en Limba Engleză Hardback – 29 feb 2008
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 WienerߝHopf 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 problems.
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Specificații

ISBN-13: 9781584885795
ISBN-10: 1584885793
Pagini: 467
Ilustrații: 164 b/w images, 5 tables and 1000 equations
Dimensiuni: 155 x 236 x 28 mm
Greutate: 0.79 kg
Ediția:1
Editura: Chapman & Hall/CRC
Seria Chapman & Hall/CRC Applied Mathematics and Nonlinear Science

Public țintă

Applied mathematicians, mathematics students, engineers, and scientists.

Cuprins

Overview
Examples of Mixed Boundary Value Problem
Integral Equations
Legendre Polynomials
Bessel Functions
Historical Background
Nobili’s Rings
Disc Capicator
Another Electrostatic Problem
Griffith Cracks
The Boundary Value Problem of Reissner and Sagoci
Steady Rotation of a Circular Disc
Separation of Variables
Dual Fourier Cosine Series
Dual Fourier Sine Series
Dual FourierߝBessel Series
Dual FourierߝLegendre Series
Triple Fourier Sine Series
Transform Methods
Dual Fourier Integrals
Triple Fourier Integrals
Dual FourierߝBessel Integrals
Triple and Higher FourierߝBessel Integrals
Joint Transform Methods
The WienerߝHopf Technique
The WienerߝHopf Technique When the Factorization Contains No Branch Points
The WienerߝHopf Technique When the Factorization Contains Branch Points
Green’s Function
Green’s Function with Mixed Boundary Value Conditions
Integral Representations Involving Green’s Functions
Potential Theory
Conformal Mapping
The Mapping z = w + alog(w)
The Mapping tanh[πz/(2b)] = sn(w, k)
The Mapping z = w + λ√w2 - 1
The Mapping w = ai(z - a)/(z + a)
The Mapping z = 2[w - arctan(w)]/π
The Mapping kw sn(w, kw) = kz sn(Kzz/a, kz)
Index