.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "gallery/triplets/plot_triplets_0.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_gallery_triplets_plot_triplets_0.py>`
        to download the full example code.

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

.. _sphx_glr_gallery_triplets_plot_triplets_0.py:


Example: triplets 0
===================

In this example, we generate a finite difference instance and visualize the resulting triplets.
The boundary conditions, derivative, and accuracy settings are specified for demonstration purposes.

.. GENERATED FROM PYTHON SOURCE LINES 10-17

.. list-table:: Finite-difference parameters
   :widths: 25
   :header-rows: 1

   * - boundaries: {left: 0, right: 0, top: 0, bottom: 0}
   * - derivative: 2
   * - accuracy: 4

.. GENERATED FROM PYTHON SOURCE LINES 19-22

Importing required packages
---------------------------
Here we import the necessary libraries for numerical computations and finite difference operations.

.. GENERATED FROM PYTHON SOURCE LINES 22-26

.. code-block:: Python


    from PyFinitDiff.finite_difference_2D import FiniteDifference, Boundaries
    import matplotlib.pyplot as plt








.. GENERATED FROM PYTHON SOURCE LINES 27-30

Setting up the finite difference instance and boundaries
---------------------------------------------------------
We define the grid size and set up the finite difference instance with specified boundary conditions.

.. GENERATED FROM PYTHON SOURCE LINES 30-41

.. code-block:: Python


    sparse_instance = FiniteDifference(
        n_x=20,
        n_y=20,
        dx=1,
        dy=1,
        derivative=2,
        accuracy=2,
        boundaries=Boundaries()
    )








.. GENERATED FROM PYTHON SOURCE LINES 42-45

Visualizing the triplets with matplotlib
-----------------------------------------
We plot the triplets using matplotlib to visualize the finite difference operator.

.. GENERATED FROM PYTHON SOURCE LINES 45-51

.. code-block:: Python


    sparse_instance.triplet.plot()

    plt.show()

    # -



.. image-sg:: /gallery/triplets/images/sphx_glr_plot_triplets_0_001.png
   :alt: Finite-difference coefficients structure
   :srcset: /gallery/triplets/images/sphx_glr_plot_triplets_0_001.png
   :class: sphx-glr-single-img






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

   **Total running time of the script:** (0 minutes 0.645 seconds)


.. _sphx_glr_download_gallery_triplets_plot_triplets_0.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: plot_triplets_0.ipynb <plot_triplets_0.ipynb>`

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

      :download:`Download Python source code: plot_triplets_0.py <plot_triplets_0.py>`

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

      :download:`Download zipped: plot_triplets_0.zip <plot_triplets_0.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_