Solve and visualize fundamental PDEs using finite difference methods. Select an equation, configure parameters, and watch the solution evolve in real time.
FTCS (Forward-Time Central-Space) finite difference scheme with explicit time stepping.
Models how temperature diffuses through a medium over time. The solution smooths out initial temperature variations, governed by the material's thermal diffusivity coefficient α.
Describes wave propagation in strings, membranes, and acoustic fields. Solutions represent traveling waves that preserve shape while propagating at speed c through the medium.
Governs steady-state phenomena: electrostatic potentials, incompressible fluid flow, and gravitational fields. Solutions are harmonic functions with no local extrema in the interior.
Models transport of a quantity by a flow field. The solution represents a waveform that translates without changing shape at the velocity v of the underlying flow.