ABSTRACT

Incorporating a number of enhancements, Solution Techniques for Elementary Partial Differential Equations, Second Edition presents some of the most important and widely used methods for solving partial differential equations (PDEs). The techniques covered include separation of variables, method of characteristics, eigenfunction expansion, Fourier a

chapter 2|16 pages

Fourier Series

chapter 3|32 pages

Sturm–Liouville Problems

chapter 5|48 pages

The Method of Separation of Variables

chapter 6|12 pages

Linear Nonhomogeneous Problems

chapter 7|22 pages

The Method of Eigenfunction Expansion

chapter 8|22 pages

The Fourier Transformations

chapter 9|18 pages

The Laplace Transformation

chapter 10|22 pages

The Method of Green’s Functions

chapter 12|22 pages

The Method of Characteristics

chapter 13|22 pages

Perturbation and Asymptotic Methods

chapter 14|12 pages

Complex Variable Methods