2.11. Setting boundary conditions

This example shows how different boundary conditions can be specified.

  0%|          | 0/10.0 [00:00<?, ?it/s]
Initializing:   0%|          | 0/10.0 [00:00<?, ?it/s]
  0%|          | 0/10.0 [00:05<?, ?it/s]
  0%|          | 0.005/10.0 [00:05<3:04:50, 1109.60s/it]
  0%|          | 0.025/10.0 [00:05<36:53, 221.94s/it]
 10%|█         | 1.01/10.0 [00:05<00:49,  5.50s/it]
 10%|█         | 1.01/10.0 [00:05<00:49,  5.52s/it]
100%|██████████| 10.0/10.0 [00:05<00:00,  1.79it/s]
100%|██████████| 10.0/10.0 [00:05<00:00,  1.79it/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()