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

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

.. _sphx_glr_examples_gallery_simple_pdes_stochastic_simulation.py:


Stochastic simulation
=====================

This example illustrates how a stochastic simulation can be done.

.. GENERATED FROM PYTHON SOURCE LINES 7-17



.. image-sg:: /examples_gallery/simple_pdes/images/sphx_glr_stochastic_simulation_001.png
   :alt: stochastic simulation
   :srcset: /examples_gallery/simple_pdes/images/sphx_glr_stochastic_simulation_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    from pde import KPZInterfacePDE, MemoryStorage, ScalarField, UnitGrid, plot_kymograph

    grid = UnitGrid([64])  # generate grid
    state = ScalarField.random_harmonic(grid)  # generate initial condition

    eq = KPZInterfacePDE(noise=1)  # define the SDE
    storage = MemoryStorage()
    eq.solve(state, t_range=10, dt=0.01, tracker=storage.tracker(0.5))
    plot_kymograph(storage)


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

   **Total running time of the script:** (0 minutes 4.731 seconds)


.. _sphx_glr_download_examples_gallery_simple_pdes_stochastic_simulation.py:

.. only:: html

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

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

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

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

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

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

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