Note

Click here to download the full example code

2.2. 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]] * 2, 64)
bcs = [{"value": "sin(y)"}, {"value": "sin(x)"}]

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

Total running time of the script: ( 0 minutes 0.747 seconds)