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]
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  0%|          | 0.004/10.0 [00:09<6:15:31, 2254.00s/it]
  0%|          | 0.021/10.0 [00:09<1:11:24, 429.36s/it]
  8%|▊         | 0.76/10.0 [00:09<01:49, 11.88s/it]
 72%|███████▏  | 7.167/10.0 [00:09<00:03,  1.28s/it]
 72%|███████▏  | 7.167/10.0 [00:09<00:03,  1.28s/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()