Partial Differential Equations

Analytical Solution Techniques

J. Kevorkian

636 pages, parution le 01/11/1999 (2^eme édition)

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Résumé

A broad treatment of important partial differential equations, particularly emphasizing the analytical techniques. In each chapter the author raises various questions concerning the particular equations discussed, treats different methods for tackling these equations, gives applications and examples, and concludes with a list of proposed problems and a relevant bibliography.

This new edition has been substantially updated to take account of the new techniques available, making it valuable for students and researchers in mathematics, physics and engineering.

Contents

Preface

1 The Diffusion Equation 1
2 Laplace's Equation 61
3 The Wave Equation 141
4 Linear Second-Order Equations with Two Independent Variables 245
5 The Scalar Quasilinear First-Order Equation 311
6 Nonlinear First-Order Equations 377
7 Quasilinear Hyperbolic Systems 441
8 Approximate Solutions by Perturbation Methods 513

App. A.1 Review of Green's Function for ODEs Using the Dirac Delta Function 577
App. A.2 Review of Fourier and Laplace Transforms 588
App. A.3 Review of Asymptotic Expansions 601

References 617
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	J. Kevorkian
Parution	01/11/1999
Édition	2^eme édition
Nb. de pages	636
Format	16 x 24
Couverture	Relié
Poids	1039g
Intérieur	Noir et Blanc
EAN13	9780387986050
ISBN13	978-0-387-98605-0