# 2.11. Setting boundary conditions¶

This example shows how different boundary conditions can be specified.

Out:

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Initializing:   0%|          | 0/10.0 [00:00<?, ?it/s]
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0%|          | 0.005/10.0 [00:08<4:30:50, 1625.88s/it]
0%|          | 0.01/10.0 [00:09<2:31:10, 907.97s/it]
0%|          | 0.015/10.0 [00:09<1:40:44, 605.34s/it]
2%|2         | 0.25/10.0 [00:09<05:54, 36.32s/it]
2%|2         | 0.25/10.0 [00:09<05:54, 36.38s/it]
100%|##########| 10.0/10.0 [00:09<00:00,  1.10it/s]
100%|##########| 10.0/10.0 [00:09<00:00,  1.10it/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 9.250 seconds)

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