David R. Tyner:








Email:  dtyner [at] mast.queensu.ca


These maple files were created to help students understand Fourier series and the various solutions to certain "classical" partial differential equations such as the heat, wave, and Laplace equations with various boundary conditions.


A vibrating string

Boundary condtions: fixed ends

Initial displacement
f(x)=x(sin(πx/10))+cos(4πx/10)

Initial velocity
g(x)=0

A vibrating drum

Boundary condtions: fixed edge

Initial displacement 
f(r,θ)=-1/2(exp(-5r2cos2(θ)+5rcos(θ)-5/4-5r2sin2(θ)))

Initial velocity
g(r,θ)=0

Maple files: created for Math 338, 2008