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 [00:10<?, ?it/s]
  0%|          | 0.004/10.0 [00:10<7:32:21, 2715.20s/it]
  0%|          | 0.018/10.0 [00:10<1:40:23, 603.41s/it]
  6%|▌         | 0.611/10.0 [00:10<02:47, 17.80s/it]
 59%|█████▉    | 5.94/10.0 [00:10<00:07,  1.85s/it]
 59%|█████▉    | 5.94/10.0 [00:11<00:07,  1.86s/it]
100%|██████████| 10.0/10.0 [00:11<00:00,  1.11s/it]
100%|██████████| 10.0/10.0 [00:11<00:00,  1.11s/it]

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()