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

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

.. _sphx_glr_examples_gallery_simple_pdes_cartesian_grid.py:


Diffusion on a Cartesian grid
=============================

This example shows how to solve the diffusion equation on a Cartesian grid.

.. GENERATED FROM PYTHON SOURCE LINES 7-17



.. image-sg:: /examples_gallery/simple_pdes/images/sphx_glr_cartesian_grid_001.png
   :alt: cartesian grid
   :srcset: /examples_gallery/simple_pdes/images/sphx_glr_cartesian_grid_001.png
   :class: sphx-glr-single-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none


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|

.. code-block:: Python


    from pde import CartesianGrid, DiffusionPDE, ScalarField

    grid = CartesianGrid([[-1, 1], [0, 2]], [30, 16])  # generate grid
    state = ScalarField(grid)  # generate initial condition
    state.insert([0, 1], 1)

    eq = DiffusionPDE(0.1)  # define the pde
    result = eq.solve(state, t_range=1, dt=0.01)
    result.plot(cmap="magma")


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

   **Total running time of the script:** (0 minutes 4.030 seconds)


.. _sphx_glr_download_examples_gallery_simple_pdes_cartesian_grid.py:

.. only:: html

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

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

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

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

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

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

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