Partial Differential Equations: Analytical Solution Techniques

✍ Scribed by J. Kevorkian

• Publisher: Springer
• Year: 2000
• Tongue: English
• Leaves: 640
• Series: Texts in Applied Mathematics 35
• Category: Library

✦ Synopsis

This volume contains 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 therein, discusses 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 will be substantially updated to take account of the new techniques available. Students and researchers in mathematics, physics and engineering will find this book useful.

✦ Table of Contents

Content:
Front Matter....Pages i-xi
The Diffusion Equation....Pages 1-59
Laplace’s Equation....Pages 61-139
The Wave Equation....Pages 141-244
Linear Second-Order Equations with Two Independent Variables....Pages 245-309
The Scalar Quasilinear First-Order Equation....Pages 311-376
Nonlinear First-Order Equations....Pages 377-439
Quasilinear Hyperbolic Systems....Pages 441-511
Approximate Solutions by Perturbation Methods....Pages 513-576
Back Matter....Pages 577-637