Transient Gray–Scott Model

Simulate a Gray–Scott model

that leads to interesting patterns over a disk. The Gray–Scott equations are a reaction diffusion system of coupled nonlinear transient equations used in, among other areas, biology.

Set up the equations and specify coefficients.

As initial conditions, set and if , else 0.

Set both and to zero on the boundary.

Solve the system of equations on a mesh with specified spacing.

Visualize the result.