# Partial Differential Equations and Boundary Value Problems with Maple

Academic Press, Mar 23, 2009 - Mathematics - 744 pages

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

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### Contents

 Chapter 0 Basic Review 1 Chapter 1 Ordinary Linear Differential Equations 13 Chapter 2 SturmLiouville Eigenvalue Problems and Generalized Fourier Series 73 Chapter 3 The Diffusion or Heat Partial Differential Equation 161 Chapter 4 The Wave Partial Differential Equation 217 Chapter 5 The Laplace Partial Differential Equation 275 Chapter 6 The Diffusion Equation in Two Spatial Dimensions 339
 Chapter 7 The Wave Equation in Two Spatial Dimensions 409 Chapter 8 Nonhomogeneous Partial Differential Equations 477 Chapter 9 Infinite and Semiinfinite Spatial Domains 557 Chapter 10 Laplace Transform Methods for Partial Differential Equations 639 References 709 Index 711 Copyright