Heat Equation: Diffusion Spreading

The heat equation ∂u/∂t = α∇²u governs how temperature diffuses through space. Click on the canvas to add heat sources and watch them spread and blend.

Max temp: 0
Total heat: 0
Time: 0
Diffusivity α 0.25
Brush size 15
Mode

Solved with explicit finite differences (FTCS scheme). Color: black = cold → blue → red → yellow → white = hot. Gray = thermal wall (fixed boundary). Heat is conserved in free space.