.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples_gallery/simple_pdes/laplace_eq_2d.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_laplace_eq_2d.py>`
        to download the full example code.

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

.. _sphx_glr_examples_gallery_simple_pdes_laplace_eq_2d.py:


Solving Laplace's equation in 2d
================================

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

.. GENERATED FROM PYTHON SOURCE LINES 8-18



.. image-sg:: /examples_gallery/simple_pdes/images/sphx_glr_laplace_eq_2d_001.png
   :alt: Solution to Laplace's equation
   :srcset: /examples_gallery/simple_pdes/images/sphx_glr_laplace_eq_2d_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    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()


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

   **Total running time of the script:** (0 minutes 0.543 seconds)


.. _sphx_glr_download_examples_gallery_simple_pdes_laplace_eq_2d.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: laplace_eq_2d.ipynb <laplace_eq_2d.ipynb>`

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

      :download:`Download Python source code: laplace_eq_2d.py <laplace_eq_2d.py>`

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

      :download:`Download zipped: laplace_eq_2d.zip <laplace_eq_2d.zip>`