4 The Fourier transform method

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. Contents VII
4. 1 Classification of second-order partial dynamic equations 1
5. 2 Classification and canonical forms for linear second-order partial dynamic equations in two independent variables 24
6. 3 The Laplace transform method 68
7. 4 The Fourier transform method 113
8. 5 Method of separation of variables 154
9. 6 Method of factoring 262
10. 7 The wave equation 294
11. 8 The heat equation 318
12. 9 The Laplace equation 344
13. 10 Reduction of some partial dynamic equations 351
14. Bibliography 361
15. Index 363