2.5. Simple diffusion equation

This example solves a simple diffusion equation in two dimensions.

simple
  0%|          | 0/10.0 [00:00<?, ?it/s]
Initializing:   0%|          | 0/10.0 [00:00<?, ?it/s]
  0%|          | 0/10.0 [00:07<?, ?it/s]
  0%|          | 0.00363/10.0 [00:07<5:48:18, 2090.63s/it]
  1%|          | 0.07144/10.0 [00:07<17:35, 106.34s/it]
  8%|8         | 0.83471/10.0 [00:07<01:23,  9.11s/it]
  8%|8         | 0.83471/10.0 [00:07<01:23,  9.12s/it]
100%|##########| 10.0/10.0 [00:07<00:00,  1.31it/s]
100%|##########| 10.0/10.0 [00:07<00:00,  1.31it/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()

Total running time of the script: ( 0 minutes 7.837 seconds)