Partial Differential Equations and Boundary Value Problems with Maple

Partial Differential Equations and Boundary Value Problems with Maple, Second Edition, presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple.

The Maple commands are so intuitive and easy to learn, students can learn what they need to know about the software in a matter of hours - an investment that provides substantial returns. Maple's animation capabilities allow students and practitioners to see real-time displays of the solutions of partial differential equations.

This updated edition provides a quick overview of the software w/simple commands needed to get started. It includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations. It also incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions. Numerous example problems and end of each chapter exercises are provided.

• Provides a quick overview of the software w/simple commands needed to get started
• Includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations
• Incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions
• Numerous example problems and end of each chapter exercises

Upper-level undergraduate and graduate level students in Partial Differential Equations and boundary value problems courses as well as students in mathematics, physics, engineering taking courses in thermal dynamics, acoustics, electromagnetic wave theory and quantum mechanics

1. Ordinary Linear Differential Equations
2. Sturm-Liouville Eigenvalue Problems and Generalized Fourier Series
3. The Diffusion or Heat Partial Differential Equation
4. The Wave Partial Differential Equation
5. The Laplace Partial Differential Equation
6. The Diffusion Equation in Two Spatial Dimensions
7. The Wave Equation in Two Spatial Dimensions
8. Nonhomogeneous Partial Differential Equations
9. Infinite and Semi-infinite Spatial Domains
10. Laplace Transform Methods for Partial Differential Equations