Partial Differential Equations and Boundary Value Problems with Maple

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Academic Press, Mar 23, 2009 - Mathematics - 744 pages
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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
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About the author (2009)

Dr. George A. Articolo has 35 years of teaching experience in physics and applied mathematics at Rutgers University, and has been a consultant for several government research laboratories and aerospace corporations. He has a Ph.D. in mathematical physics with degrees from Temple University and Rensselaer Polytechnic Institute.

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