The 2D Heat Equation on a Square;

Homogeneous Dirichlet Boundary Conditions

exp(-2 t) sin(x) sin(y)

exp(-5 t) sin(2x) sin(y)

exp(-10 t) sin(3x) sin(y)

exp(-5 t) sin(x) sin(2y)

exp(-8 t) sin(2x) sin(2y)

exp(-13 t) sin(3x) sin(2y)

exp(-10 t) sin(x) sin(3y)

exp(-13 t) sin(2x) sin(3y)

exp(-18 t) sin(3x) sin(3y)

These animations were generated using Waterloo MAPLE, and were optimized using the GIMP image manipulation program.

Return to Math 305 Animations Page