Synopses & Reviews
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
The Diffusion Equation. Laplace Transform Methods. The Wave Equation. The Potential Equation. Classification of Second Order Equations. First Order Equations. Extensions. Perturbations. Green's Functions. Variational Methods. Eigenvalue Problems. More on First Order Equations. More on Characteristics. Finite-Difference Equations and Numerical Methods. More on Transforms. Singular Perturbation Methods. Index.