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Physics

Waves and heat

PDE studio in 3D: the wave and heat equations answer the same start side by side.

Waves and heat — Actual application image
Actual application image

What happens

Two of the most important equations of physics as two living reliefs on one bench: the wave equation on the left carries every ridge onward and rings against the walls, the heat equation on the right melts the same start into a smooth mound before your eyes. Launch bumps, a sharp peak, two interfering sources or a standing mode, then click either relief - the same fresh bump lands in both fields at once, and the two laws answer the same question in parallel. Right drag orbits the bench.

Equations used in the module
Equations
u_tt + γu_t = c²∇²u
T_t = α∇²T
cΔt/Δx ≤ 1/√2
αΔt/Δx² ≤ 1/4

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