2.11 Setting boundary conditions

This example shows how different boundary conditions can be specified.

boundary conditions
  0%|          | 0/10.0 [00:00<?, ?it/s]
Initializing:   0%|          | 0/10.0 [00:00<?, ?it/s]
  0%|          | 0/10.0 [00:04<?, ?it/s]
  0%|          | 0.005/10.0 [00:04<2:24:31, 867.60s/it]
  0%|          | 0.03/10.0 [00:04<24:01, 144.61s/it]
 14%|█▍        | 1.445/10.0 [00:04<00:25,  3.00s/it]
 14%|█▍        | 1.445/10.0 [00:04<00:25,  3.02s/it]
100%|██████████| 10.0/10.0 [00:04<00:00,  2.29it/s]
100%|██████████| 10.0/10.0 [00:04<00:00,  2.29it/s]

from pde import DiffusionPDE, ScalarField, UnitGrid

grid = UnitGrid([32, 32], periodic=[False, True])  # generate grid
state = ScalarField.random_uniform(grid, 0.2, 0.3)  # generate initial condition

# set boundary conditions `bc` for all axes
bc_x_left = {"derivative": 0.1}
bc_x_right = {"value": "sin(y / 2)"}
bc_x = [bc_x_left, bc_x_right]
bc_y = "periodic"
eq = DiffusionPDE(bc=[bc_x, bc_y])

result = eq.solve(state, t_range=10, dt=0.005)
result.plot()

Total running time of the script: (0 minutes 4.508 seconds)