"""
Solving Poisson's equation in 1d
================================

This example shows how to solve a 1d Poisson equation with boundary conditions.
"""

from pde import CartesianGrid, ScalarField, solve_poisson_equation

grid = CartesianGrid([[0, 1]], 32, periodic=False)
field = ScalarField(grid, 1)
result = solve_poisson_equation(field, bc={"x-": {"value": 0}, "x+": {"derivative": 1}})

result.plot()