Partial Differential Equations. Theory and Technique

✍ Scribed by George F. Carrier and Carl E. Pearson (Auth.)

• Publisher: Elsevier Inc, Academic Press Inc
• Year: 1976
• Tongue: English
• Leaves: 318
• Edition: First Edition
• Category: Library

✦ Synopsis

This is the second edition of the well-established text in partial differential equations, emphasizing modern, practical solution techniques. This updated edition includes a new chapter on transform methods and a new section on integral equations in the numerical methods chapter. The authors have also included additional exercises

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
PREFACE, Page xi
INTRODUCTION, Pages 1-5
1 - THE DIFFUSION EQUATION, Pages 7-21
2 - LAPLACE TRANSFORM METHODS, Pages 23-34
3 - THE WAVE EQUATION, Pages 35-54
4 - THE POTENTIAL EQUATION, Pages 55-74
5 - CLASSIFICATION OF SECOND-ORDER EQUATIONS, Pages 75-90
6 - FIRST-ORDER EQUATIONS, Pages 91-102
7 - EXTENSIONS, Pages 103-126
8 - PERTURBATIONS, Pages 127-138
9 - GREEN'S FUNCTIONS, Pages 139-160
10 - VARIATIONAL METHODS, Pages 161-188
11 - EIGENVALUE PROBLEMS, Pages 189-202
12 - MORE ON FIRST-ORDER EQUATIONS, Pages 203-225
13 - MORE ON CHARACTERISTICS, Pages 227-256
14 - FINITE-DIFFERENCE EQUATIONS AND NUMERICAL METHODS, Pages 257-283
15 - SINGULAR PERTURBATION METHODS, Pages 285-308
REFERENCES, Pages 309-311
INDEX, Pages 313-320