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

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

.. _sphx_glr_examples_gallery_spherical_grid.py:


Spherically symmetric PDE
=========================

This example illustrates how to solve a PDE in a spherically symmetric geometry.

.. GENERATED FROM PYTHON SOURCE LINES 7-17



.. image-sg:: /examples_gallery/images/sphx_glr_spherical_grid_001.png
   :alt: spherical grid
   :srcset: /examples_gallery/images/sphx_glr_spherical_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 DiffusionPDE, ScalarField, SphericalSymGrid

    grid = SphericalSymGrid(radius=[1, 5], shape=128)  # generate grid
    state = ScalarField.random_uniform(grid)  # generate initial condition

    eq = DiffusionPDE(0.1)  # define the PDE
    result = eq.solve(state, t_range=0.1, dt=0.001)

    result.plot(kind="image")


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

   **Total running time of the script:** (0 minutes 2.208 seconds)


.. _sphx_glr_download_examples_gallery_spherical_grid.py:

.. only:: html

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

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

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

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

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

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

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