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<6:31:45, 2351.50s/it]
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  7%|▋         | 0.654/10.0 [00:09<02:14, 14.40s/it]
 61%|██████    | 6.091/10.0 [00:09<00:06,  1.57s/it]
 61%|██████    | 6.091/10.0 [00:09<00:06,  1.58s/it]
100%|██████████| 10.0/10.0 [00:09<00:00,  1.04it/s]
100%|██████████| 10.0/10.0 [00:09<00:00,  1.04it/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()