Note
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2.11. Setting boundary conditions¶
This example shows how different boundary conditions can be specified.
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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 9.335 seconds)