2.5 Simple diffusion equation

This example solves a simple diffusion equation in two dimensions.

  0%|          | 0/10.0 [00:00<?, ?it/s]
Initializing:   0%|          | 0/10.0 [00:00<?, ?it/s]
  0%|          | 0/10.0 [00:09<?, ?it/s]
  0%|          | 0.004/10.0 [00:09<6:15:48, 2255.73s/it]
  2%|▏         | 0.185/10.0 [00:09<07:58, 48.79s/it]
 32%|███▏      | 3.239/10.0 [00:09<00:18,  2.80s/it]
 32%|███▏      | 3.239/10.0 [00:09<00:19,  2.84s/it]
100%|██████████| 10.0/10.0 [00:09<00:00,  1.09it/s]
100%|██████████| 10.0/10.0 [00:09<00:00,  1.09it/s]

from pde import DiffusionPDE, ScalarField, UnitGrid

grid = UnitGrid([64, 64])  # generate grid
state = ScalarField.random_uniform(grid, 0.2, 0.3)  # generate initial condition

eq = DiffusionPDE(diffusivity=0.1)  # define the pde
result = eq.solve(state, t_range=10)
result.plot()