.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples_gallery/simple_pdes/poisson_eq_1d.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_examples_gallery_simple_pdes_poisson_eq_1d.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_gallery_simple_pdes_poisson_eq_1d.py:


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

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

.. GENERATED FROM PYTHON SOURCE LINES 7-15



.. image-sg:: /examples_gallery/simple_pdes/images/sphx_glr_poisson_eq_1d_001.png
   :alt: poisson eq 1d
   :srcset: /examples_gallery/simple_pdes/images/sphx_glr_poisson_eq_1d_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    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()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.051 seconds)


.. _sphx_glr_download_examples_gallery_simple_pdes_poisson_eq_1d.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: poisson_eq_1d.ipynb <poisson_eq_1d.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: poisson_eq_1d.py <poisson_eq_1d.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: poisson_eq_1d.zip <poisson_eq_1d.zip>`