Wave Equation / Heat Equation (PDE Grid Visualization)

Observe diffusion, wave propagation, reflection, and stability via grid-based numerical solvers

Simulation Time: 0.000 Steps: 0 Max Amplitude: 0.000 Stability: -

Controls

Equation Type Diffusion coefficient alpha: 0.20 Delta t: 0.06 Delta x: 1.00 Steps Per Frame: 2 Initial Disturbance Boundary Condition Visualization Mode

Core Equations

Heat equation:

$$\frac{\partial u}{\partial t}=\alpha\nabla^2u$$

Wave equation:

$$\frac{\partial^2u}{\partial t^2}=c^2\nabla^2u$$

Click the canvas to inject local perturbations and compare reflection versus absorption.