Note

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2.2.1 Solving Laplace’s equation in 2d

This example shows how to solve a 2d Laplace equation with spatially varying boundary conditions.

Solution to Laplace's equation
import numpy as np

from pde import CartesianGrid, solve_laplace_equation

grid = CartesianGrid([[0, 2 * np.pi], [0, 2 * np.pi]], 64)
bcs = {"x": {"value": "sin(y)"}, "y": {"value": "sin(x)"}}

res = solve_laplace_equation(grid, bcs)
res.plot()

Total running time of the script: (0 minutes 0.800 seconds)