2D Wave Equation — Drum Membrane

The wave equation ∂²u/∂t² = c²∇²u on a square domain. Each normal mode (m,n) oscillates at frequency f_mn = c/(2L)·√(m²+n²). Click the canvas to strike the drum, or select a pure mode shape.

f(m,n) = (c/2L)√(m² + n²)  |  Modes: (1,1)=fundamental, (2,1),(1,2)=first overtone, etc.