Handbook of Linear Partial Differential Equations for Engineers and Scientists

A.D. Polyanin

782 pages, parution le 07/03/2002

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Résumé

Contains over 2,200 linear equations and problems of mathematical physics with solutions
Avoids using special terminology, where possible, and presents many results in a simple, schematic format
Describes many new exact solutions to various equations and boundary value problems
Contains more specific science and engineering equations and problems, including some nonlinear PDEs, than any other book available
Presents solutions to numerous problems related to heat and mass transfer, wave theory, acoustics, elasticity, hydrodynamics, electrostatics, quantum mechanics, and other fields of science and engineering

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 constant and variable coefficients
· New exact solutions to linear equations and boundary value problems
· Equations and problems of general form that depend on arbitrary functions
· Formulas for constructing solutions to nonhomogeneous boundary value problems
· Second- and higher-order equations and boundary value problems

An introductory section outlines the basic definitions, equations, problems, and methods of mathematical physics. It also provides useful formulas for expressing solutions to boundary value problems of general form in terms of the Green's function. Two supplements at the end of the book furnish more tools and information: Supplement A lists the properties of common special functions, including the gamma, Bessel, degenerate hypergeometric, and Mathieu functions, and Supplement B describes the methods of generalized and functional separation of variables for nonlinear partial differential equations.

Contents

Foreword
Basic Notation and Remarks
Author

Introduction: some definitions, formulas, methods, and solutions

Equations of parabolic type with one space variable
Equations of parabolic type with two space variables
Parabolic equations with three or more space variables
Hyperbolic equations with one space variable
Hyperbolic equations with two space variables
Hyperbolic equations with three or more space variables
Elliptic equations with two space variables
Elliptic equations with three or more space variables
Higher order partial differential equations

Supplement A
Supplement B

References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	CRC Press (Taylor and Francis Group)
Auteur(s)	A.D. Polyanin
Parution	07/03/2002
Nb. de pages	782
Format	18 x 26
Couverture	Relié
Poids	1575g
Intérieur	Noir et Blanc
EAN13	9781584882992
ISBN13	978-1-58488-299-2