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

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

.. _sphx_glr_examples_gallery_pde_simple.py:


Simple PDE
==========

Demonstrates a minimal example involving the diffusion equation

.. GENERATED FROM PYTHON SOURCE LINES 8-27



.. image-sg:: /examples_gallery/images/sphx_glr_pde_simple_001.png
   :alt: pde simple
   :srcset: /examples_gallery/images/sphx_glr_pde_simple_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 DiffusionPDE, ScalarField, UnitGrid

    import emulsim

    # set up state
    field = ScalarField.random_uniform(UnitGrid([32, 32], periodic=True))
    element = emulsim.ScalarFieldElement.from_field(field)
    state = emulsim.State({"field": element})

    # set up simulation
    simulation = emulsim.Simulation(state)
    eq = DiffusionPDE(diffusivity=0.1)
    simulation.add_actor("field", emulsim.ScalarPDEActor(eq))

    # run simulation
    result = simulation.run(t_range=10, dt=0.1)

    result.plot()


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

   **Total running time of the script:** (0 minutes 11.176 seconds)


.. _sphx_glr_download_examples_gallery_pde_simple.py:

.. only:: html

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

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

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

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

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

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

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