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

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

.. _sphx_glr_examples_gallery_simple_pdes_time_dependent_bcs.py:


Time-dependent boundary conditions
==================================

This example solves a simple diffusion equation in one dimensions with time-dependent
boundary conditions.

.. GENERATED FROM PYTHON SOURCE LINES 8-21



.. image-sg:: /examples_gallery/simple_pdes/images/sphx_glr_time_dependent_bcs_001.png
   :alt: time dependent bcs
   :srcset: /examples_gallery/simple_pdes/images/sphx_glr_time_dependent_bcs_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    from pde import PDE, CartesianGrid, MemoryStorage, ScalarField, plot_kymograph

    grid = CartesianGrid([[0, 10]], [64])  # generate grid
    state = ScalarField(grid)  # generate initial condition

    eq = PDE({"c": "laplace(c)"}, bc={"value_expression": "sin(t)"})

    storage = MemoryStorage()
    eq.solve(state, t_range=20, dt=1e-4, tracker=storage.tracker(0.1))

    # plot the trajectory as a space-time plot
    plot_kymograph(storage)


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

   **Total running time of the script:** (0 minutes 8.862 seconds)


.. _sphx_glr_download_examples_gallery_simple_pdes_time_dependent_bcs.py:

.. only:: html

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

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

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

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

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

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

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