Mathematica Files for Partial Differential Equations

The following notebook files are meant to supplement my text "A Journey into Partial Differential Equations" published by Jones & Bartlett Learning. These files are organized according to chapters in the text. All were coded with Mathematica 8 although they should work fine with version 7.

If you have suggestions for improvements, please email me EMAIL.

PLEASE NOTE: This page is under construction.

Chapter 1 Unfolding Ideas through Examples
Diffusion on the real line
 Pages 22-26, focus Example 1.5
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  3/2011
d'Alembert's solution formula
 Pages 27-30
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 3/2011
Chapter 2 First Order PDE
Vector Field Plots
 Page 41 Examples 2.1 and 2.3
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 3/2011
Chapter 5 Fourier Expansions
Separation of Variables




Fourier Series
 Pages 148-158, Section 5.3
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 3/2011
Eigenfunction Expansions
 Section 5.4
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 3/2011
Chapter 6 Diffusion & Waves with Boundaries
Multiple Fourier Series
 Page 205, Section 6.4
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 3/2011
Chapter 8 Fourier Expansions on a Sphere
Legendre Polynomials & Spherical Harmonics
 Chapter 8
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 3/2011