Applied Partial Differential Equations

 

Table of Contents

Preface

Sample Sections

Generalized Fourier Series

Application of Fourier Sine and Cosine Transforms to Initial Boundary Value Problems

Homogeneous Problems in Polar, Cylindrical, and Spherical Coordinates

Properties of Parabolic Partial Differential Equations

Green's Functions for Dirichlet Boundary Value Problems

Application of Laplace Transforms to Partial Differential Equations on Bounded Domains

Partial Differences Applied to the Two-dimensional Heat Equation

Method of Weighted Residulas and Dirichlet Boundary Value Problems