diff --git a/.github/workflows/benchmark_on_push.yml b/.github/workflows/benchmark_on_push.yml
index 6ac55b6ea4..58cb9e6918 100644
--- a/.github/workflows/benchmark_on_push.yml
+++ b/.github/workflows/benchmark_on_push.yml
@@ -23,10 +23,10 @@ jobs:
       - uses: actions/checkout@8e8c483db84b4bee98b60c0593521ed34d9990e8 # v6.0.1
         with:
           persist-credentials: false
-      - name: Set up Python 3.12
+      - name: Set up Python 3.13
         uses: actions/setup-python@83679a892e2d95755f2dac6acb0bfd1e9ac5d548 # v6.1.0
         with:
-          python-version: 3.12
+          python-version: 3.13
 
 
       - name: Install Linux system dependencies
diff --git a/.github/workflows/publish_pypi.yml b/.github/workflows/publish_pypi.yml
index 48416a091b..7acac7b7ad 100644
--- a/.github/workflows/publish_pypi.yml
+++ b/.github/workflows/publish_pypi.yml
@@ -18,7 +18,7 @@ jobs:
           persist-credentials: true
       - uses: actions/setup-python@83679a892e2d95755f2dac6acb0bfd1e9ac5d548 # v6.1.0
         with:
-          python-version: 3.12
+          python-version: 3.13
 
       - name: Build wheel
         run: pipx run build --outdir deploy
diff --git a/.github/workflows/run_periodic_tests.yml b/.github/workflows/run_periodic_tests.yml
index c998784f02..989f8e8e44 100644
--- a/.github/workflows/run_periodic_tests.yml
+++ b/.github/workflows/run_periodic_tests.yml
@@ -31,7 +31,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ ubuntu-latest, macos-15-intel, macos-latest, windows-latest ]
-        python-version: ["3.10", "3.11", "3.12"]
+        python-version: ["3.10", "3.11", "3.12", "3.13"]
     name: Tests (${{ matrix.os }} / Python ${{ matrix.python-version }})
 
     steps:
@@ -79,15 +79,15 @@ jobs:
         run: uv tool install nox
 
       - name: Run unit tests for ${{ matrix.os }} with Python ${{ matrix.python-version }}
-        if: matrix.os != 'ubuntu-latest' || matrix.python-version != '3.12'
+        if: matrix.os != 'ubuntu-latest' || matrix.python-version != '3.13'
         run: nox -s unit
 
       - name: Run coverage tests for ${{ matrix.os }} with Python ${{ matrix.python-version }}
-        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.12'
+        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.13'
         run: nox -s coverage
 
       - name: Upload coverage report
-        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.12'
+        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.13'
         uses: codecov/codecov-action@671740ac38dd9b0130fbe1cec585b89eea48d3de # v5.5.2
         with:
           token: ${{ secrets.CODECOV_TOKEN }}
@@ -101,7 +101,7 @@ jobs:
       contents: read
     strategy:
       fail-fast: false
-    name: Doctests (ubuntu-latest / Python 3.11)
+    name: Doctests (ubuntu-latest / Python 3.13)
 
     steps:
       - name: Check out PyBaMM repository
@@ -119,7 +119,7 @@ jobs:
       - name: Set up Python
         uses: actions/setup-python@83679a892e2d95755f2dac6acb0bfd1e9ac5d548 # v6.1.0
         with:
-          python-version: 3.11
+          python-version: 3.13
 
       - uses: astral-sh/setup-uv@681c641aba71e4a1c380be3ab5e12ad51f415867 # v7.1.6
         with:
@@ -141,7 +141,7 @@ jobs:
       contents: read
     strategy:
       fail-fast: false
-    name: Example notebooks (ubuntu-latest / Python 3.12)
+    name: Example notebooks (ubuntu-latest / Python 3.13)
 
     steps:
       - name: Check out PyBaMM repository
@@ -155,10 +155,10 @@ jobs:
           sudo apt-get install gfortran gcc graphviz pandoc
           sudo apt-get install libopenblas-dev texlive-latex-extra dvipng
 
-      - name: Set up Python 3.12
+      - name: Set up Python 3.13
         uses: actions/setup-python@83679a892e2d95755f2dac6acb0bfd1e9ac5d548 # v6.1.0
         with:
-          python-version: 3.12
+          python-version: 3.13
 
       - uses: astral-sh/setup-uv@681c641aba71e4a1c380be3ab5e12ad51f415867 # v7.1.6
         with:
@@ -168,7 +168,7 @@ jobs:
       - name: Install nox
         run: uv tool install nox
 
-      - name: Run example notebooks tests for GNU/Linux with Python 3.12
+      - name: Run example notebooks tests for GNU/Linux with Python 3.13
         run: nox -s examples
 
   run_scripts_tests:
@@ -177,7 +177,7 @@ jobs:
       contents: read
     strategy:
       fail-fast: false
-    name: Example scripts (ubuntu-latest / Python 3.12)
+    name: Example scripts (ubuntu-latest / Python 3.13)
 
     steps:
       - name: Check out PyBaMM repository
@@ -191,10 +191,10 @@ jobs:
           sudo apt-get install gfortran gcc graphviz
           sudo apt-get install libopenblas-dev texlive-latex-extra dvipng
 
-      - name: Set up Python 3.12
+      - name: Set up Python 3.13
         uses: actions/setup-python@83679a892e2d95755f2dac6acb0bfd1e9ac5d548 # v6.1.0
         with:
-          python-version: 3.12
+          python-version: 3.13
 
       - uses: astral-sh/setup-uv@681c641aba71e4a1c380be3ab5e12ad51f415867 # v7.1.6
         with:
@@ -204,5 +204,5 @@ jobs:
       - name: Install nox
         run: uv tool install nox
 
-      - name: Run example scripts tests for GNU/Linux with Python 3.12
+      - name: Run example scripts tests for GNU/Linux with Python 3.13
         run: nox -s scripts
diff --git a/.github/workflows/test_on_push.yml b/.github/workflows/test_on_push.yml
index 47695ea998..5c366a873c 100644
--- a/.github/workflows/test_on_push.yml
+++ b/.github/workflows/test_on_push.yml
@@ -49,7 +49,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest, macos-15-intel, macos-latest, windows-latest]
-        python-version: ["3.10", "3.11", "3.12"]
+        python-version: ["3.10", "3.11", "3.12", "3.13"]
     name: Tests (${{ matrix.os }} / Python ${{ matrix.python-version }})
 
     steps:
@@ -106,21 +106,21 @@ jobs:
         run: uv tool install nox
 
       - name: Run unit tests for ${{ matrix.os }} with Python ${{ matrix.python-version }}
-        if: matrix.os != 'ubuntu-latest' || matrix.python-version != '3.12'
+        if: matrix.os != 'ubuntu-latest' || matrix.python-version != '3.13'
         run: nox -s unit
 
       - name: Run coverage tests for ${{ matrix.os }} with Python ${{ matrix.python-version }}
-        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.12'
+        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.13'
         run: nox -s coverage
 
       - name: Upload coverage report
-        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.12'
+        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.13'
         uses: codecov/codecov-action@671740ac38dd9b0130fbe1cec585b89eea48d3de # v5.5.2
         with:
           token: ${{ secrets.CODECOV_TOKEN }}
 
       - name: Run integration tests for ${{ matrix.os }} with Python ${{ matrix.python-version }}
-        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.12'
+        if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.13'
         run: nox -s integration
 
   run_doctests:
@@ -129,7 +129,7 @@ jobs:
       contents: read
     strategy:
       fail-fast: false
-    name: Doctests (ubuntu-latest / Python 3.11)
+    name: Doctests (ubuntu-latest / Python 3.13)
 
     steps:
       - name: Check out PyBaMM repository
@@ -155,7 +155,7 @@ jobs:
         id: setup-python
         uses: actions/setup-python@83679a892e2d95755f2dac6acb0bfd1e9ac5d548 # v6.1.0
         with:
-          python-version: 3.11
+          python-version: 3.13
 
       - uses: astral-sh/setup-uv@681c641aba71e4a1c380be3ab5e12ad51f415867 # v7.1.6
         with:
@@ -177,7 +177,7 @@ jobs:
       contents: read
     strategy:
       fail-fast: false
-    name: Example notebooks (ubuntu-latest / Python 3.12)
+    name: Example notebooks (ubuntu-latest / Python 3.13)
 
     steps:
       - name: Check out PyBaMM repository
@@ -198,11 +198,11 @@ jobs:
           sudo dot -c
           sudo apt-get install libopenblas-dev texlive-latex-extra dvipng
 
-      - name: Set up Python 3.12
+      - name: Set up Python 3.13
         id: setup-python
         uses: actions/setup-python@83679a892e2d95755f2dac6acb0bfd1e9ac5d548 # v6.1.0
         with:
-          python-version: 3.12
+          python-version: 3.13
 
       - uses: astral-sh/setup-uv@681c641aba71e4a1c380be3ab5e12ad51f415867 # v7.1.6
         with:
@@ -212,7 +212,7 @@ jobs:
       - name: Install nox
         run: uv tool install nox
 
-      - name: Run example notebooks tests for GNU/Linux with Python 3.12
+      - name: Run example notebooks tests for GNU/Linux with Python 3.13
         run: nox -s examples
 
   run_scripts_tests:
@@ -221,7 +221,7 @@ jobs:
       contents: read
     strategy:
       fail-fast: false
-    name: Example scripts (ubuntu-latest / Python 3.12)
+    name: Example scripts (ubuntu-latest / Python 3.13)
 
     steps:
       - name: Check out PyBaMM repository
@@ -242,11 +242,11 @@ jobs:
           sudo dot -c
           sudo apt-get install libopenblas-dev texlive-latex-extra dvipng
 
-      - name: Set up Python 3.12
+      - name: Set up Python 3.13
         id: setup-python
         uses: actions/setup-python@83679a892e2d95755f2dac6acb0bfd1e9ac5d548 # v6.1.0
         with:
-          python-version: 3.12
+          python-version: 3.13
 
       - uses: astral-sh/setup-uv@681c641aba71e4a1c380be3ab5e12ad51f415867 # v7.1.6
         with:
@@ -256,5 +256,5 @@ jobs:
       - name: Install nox
         run: uv tool install nox
 
-      - name: Run example scripts tests for GNU/Linux with Python 3.12
+      - name: Run example scripts tests for GNU/Linux with Python 3.13
         run: nox -s scripts
diff --git a/.readthedocs.yaml b/.readthedocs.yaml
index fda913d7b4..aad095e159 100644
--- a/.readthedocs.yaml
+++ b/.readthedocs.yaml
@@ -19,7 +19,7 @@ build:
     - "graphviz"
   os: ubuntu-22.04
   tools:
-    python: "3.12"
+    python: "3.13"
   jobs:
     pre_build:
       - python -m sphinx -b linkcheck -D linkcheck_timeout=20 docs/ ./linkcheck_output
diff --git a/CHANGELOG.md b/CHANGELOG.md
index a14fafc633..1995099dff 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,7 @@
 
 ## Features
 
+- Added support for Python 3.13. ([#5330](https://github.com/pybamm-team/PyBaMM/pull/5330))
 - Reduced the time to build `Simulation`s by creating a post-processing step for variables. ([#5308](https://github.com/pybamm-team/PyBaMM/pull/5308))
 - Adds the ability to observe custom variables from a `Solution` object using `Solution.observe(symbol)`. ([#5308](https://github.com/pybamm-team/PyBaMM/pull/5308))
 - Added inverse kinetics for linear kinetics. ([#5303](https://github.com/pybamm-team/PyBaMM/pull/5303))
diff --git a/docs/conf.py b/docs/conf.py
index 713c03c4ab..39a8b08cb5 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -161,8 +161,8 @@
         "plausible_analytics_domain": "docs.pybamm.org",
         "plausible_analytics_url": "https://plausible.io/js/script.js",
     },
-    "pygment_light_style": "xcode",
-    "pygment_dark_style": "monokai",
+    "pygments_light_style": "xcode",
+    "pygments_dark_style": "monokai",
     "footer_start": [
         "copyright",
         "sphinx-version",
diff --git a/docs/source/user_guide/installation/gnu-linux-mac.rst b/docs/source/user_guide/installation/gnu-linux-mac.rst
index a9d1ef6ff0..2fd4a6b6ec 100644
--- a/docs/source/user_guide/installation/gnu-linux-mac.rst
+++ b/docs/source/user_guide/installation/gnu-linux-mac.rst
@@ -6,7 +6,7 @@ GNU/Linux & macOS
 Prerequisites
 -------------
 
-To use PyBaMM, you must have Python 3.10, 3.11, or 3.12 installed.
+To use PyBaMM, you must have Python 3.10, 3.11, 3.12, 3.13 installed.
 
 .. tab:: Debian-based distributions (Debian, Ubuntu)
 
@@ -43,7 +43,7 @@ User install
 
 We recommend to install PyBaMM within a virtual environment, in order
 not to alter any distribution Python files.
-First, make sure you are using Python 3.10, 3.11, or 3.12.
+First, make sure you are using Python 3.10, 3.11, 3.12, 3.13.
 To create a virtual environment ``env`` within your current directory type:
 
 .. code:: bash
diff --git a/docs/source/user_guide/installation/install-from-source.rst b/docs/source/user_guide/installation/install-from-source.rst
index fa467957e1..1ab20e4d21 100644
--- a/docs/source/user_guide/installation/install-from-source.rst
+++ b/docs/source/user_guide/installation/install-from-source.rst
@@ -28,7 +28,7 @@ or download the source archive on the repository's homepage.
 
 To install PyBaMM, you will need:
 
-- Python 3 (PyBaMM supports versions 3.9, 3.10, 3.11, and 3.12)
+- Python 3 (PyBaMM supports versions 3.10, 3.11, 3.12, and 3.13)
 - The Python headers file for your current Python version.
 - A BLAS library (for instance `openblas <https://www.openblas.net/>`_).
 - A C compiler (ex: ``gcc``).
diff --git a/noxfile.py b/noxfile.py
index 7e9c8dc744..5fc72972b4 100644
--- a/noxfile.py
+++ b/noxfile.py
@@ -51,7 +51,7 @@ def run_integration(session):
     set_environment_variables(PYBAMM_ENV, session=session)
     if (
         "CI" in os.environ
-        and sys.version_info[:2] == (3, 12)
+        and sys.version_info[:2] >= (3, 12)
         and sys.platform == "linux"
     ):
         session.install("pytest-github-actions-annotate-failures")
diff --git a/pyproject.toml b/pyproject.toml
index 041f08605d..c8d309685c 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -9,7 +9,7 @@ license = { file = "LICENSE.txt" }
 description = "Python Battery Mathematical Modelling"
 authors = [{ name = "The PyBaMM Team", email = "pybamm@pybamm.org" }]
 maintainers = [{ name = "The PyBaMM Team", email = "pybamm@pybamm.org" }]
-requires-python = ">=3.10, <3.13"
+requires-python = ">=3.10, <3.14"
 readme = { file = "README.md", content-type = "text/markdown" }
 classifiers = [
     "Development Status :: 5 - Production/Stable",
@@ -22,6 +22,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Topic :: Scientific/Engineering",
 ]
 dependencies = [
diff --git a/src/pybamm/__init__.py b/src/pybamm/__init__.py
index 3d69a5f2a7..2926afaa44 100644
--- a/src/pybamm/__init__.py
+++ b/src/pybamm/__init__.py
@@ -230,7 +230,6 @@
     "citations",
     "config",
     "discretisations",
-    "doc_utils",
     "experiment",
     "expression_tree",
     "geometry",
diff --git a/src/pybamm/doc_utils.py b/src/pybamm/doc_utils.py
deleted file mode 100644
index 0e53579c43..0000000000
--- a/src/pybamm/doc_utils.py
+++ /dev/null
@@ -1,35 +0,0 @@
-#
-# Documentation utilities for actions on PyBaMM classes
-#
-from inspect import getmro
-
-
-def copy_parameter_doc_from_parent(cls):
-    """
-    Add parameters from the base class to the docstring (Sphinx
-    documentation). This constructs a new docstring by concatenating with
-    formatting the base class docstring with the derived class. The
-    base class docstring is truncated at the **Parameters** section.
-
-    Usage: as a decorator @copy_parameter_doc_from_parent on derived
-    class definition.
-    """
-    base_cls = getmro(cls)[1]
-    parameters_section = "".join(base_cls.__doc__.partition("Parameters")[1:])
-    cls.__doc__ += f"\n\n    {parameters_section}"
-    return cls
-
-
-# also implemented as a Sphinx extension in docs/sphinx_extend_parent.py, but this is
-# not automatic, so we need to use the decorator manually in the class definition
-def doc_extend_parent(cls):
-    """
-    Add a link to the base class in the docstring (Sphinx documentation) via the
-    **Extends** directive. Constructs a new docstring element by concatenating
-    with formatting the method resolution order (MRO) of the derived class.
-
-    Usage: as a decorator @doc_extend_parent on derived class definition.
-    """
-    base_cls_name = f"{getmro(cls)[1].__module__}.{getmro(cls)[1].__name__}"
-    cls.__doc__ += f"\n\n    **Extends:** :class:`{base_cls_name}`\n    "
-    return cls
diff --git a/src/pybamm/models/submodels/electrode/ohm/full_ohm.py b/src/pybamm/models/submodels/electrode/ohm/full_ohm.py
index 737e2cb611..f18245623e 100644
--- a/src/pybamm/models/submodels/electrode/ohm/full_ohm.py
+++ b/src/pybamm/models/submodels/electrode/ohm/full_ohm.py
@@ -2,15 +2,25 @@
 # Full model of electrode employing Ohm's law
 #
 import pybamm
-from pybamm.doc_utils import copy_parameter_doc_from_parent, doc_extend_parent
 
 from .base_ohm import BaseModel
 
 
-@copy_parameter_doc_from_parent
-@doc_extend_parent
 class Full(BaseModel):
-    """Full model of electrode employing Ohm's law."""
+    """This submodel implements Ohm's law for electrodes, accounting for full resistance effects.
+
+    The model solves for the electrode potential distribution using the effective conductivity,
+    which is the product of the material conductivity and the transport efficiency.
+
+    .. math::
+        \\nabla \\cdot (\\sigma_{\text{eff}} \\nabla \\phi_s) = -a_j
+
+    where:
+        - :math:`\\sigma_{\text{eff}} = \\sigma \\cdot \\tau_{\text{or}}` is the effective conductivity
+        - :math:`\\phi_s` is the electrode potential
+        - :math:`a_j` is the volumetric interfacial current density
+
+    """
 
     def __init__(self, param, domain, options=None):
         super().__init__(param, domain, options=options)
diff --git a/tests/unit/test_doc_utils.py b/tests/unit/test_doc_utils.py
deleted file mode 100644
index b7a6d9eaf8..0000000000
--- a/tests/unit/test_doc_utils.py
+++ /dev/null
@@ -1,65 +0,0 @@
-#
-# Unit tests for doc_utils. These do not test how the actual documentation
-# is generated, but rather that the docstrings are correctly modified
-#
-
-from inspect import getmro
-
-from pybamm.doc_utils import copy_parameter_doc_from_parent, doc_extend_parent
-
-
-class TestDocUtils:
-    def test_copy_parameter_doc_from_parent(self):
-        """Test if parameters from the parent class are copied to
-        child class docstring"""
-
-        class Base:
-            """Base class for testing docstring parameter inheritance
-
-            Parameters:
-            ----------
-            foo : str
-                description for foo
-            bar : str
-                description for bar."""
-
-            def __init__(self, foo, bar):
-                pass
-
-        @copy_parameter_doc_from_parent
-        class Derived(Base):
-            """Derived class for testing docstring parameter inheritance"""
-
-            def __init__(self, foo, bar):
-                super().__init__(foo, bar)
-
-        base_parameters = "".join(Base.__doc__.partition("Parameters")[1:])
-        derived_parameters = "".join(Derived.__doc__.partition("Parameters")[1:])
-        # check that the parameters section is in the docstring
-        assert base_parameters == derived_parameters
-
-    def test_doc_extend_parent(self):
-        """Test if the child class has the Extends directive in its docstring"""
-
-        class Base:
-            """Base class for testing doc_utils.doc_extend_parent"""
-
-            def __init__(self, foo, bar):
-                pass
-
-        @doc_extend_parent
-        class Derived(Base):
-            """Derived class for testing doc_utils.doc_extend_parent"""
-
-            def __init__(self, param):
-                super().__init__(param)
-
-        # check that the Extends directive is in the docstring
-        assert "**Extends:**" in Derived.__doc__
-
-        # check that the Extends directive maps to the correct base class
-        base_cls_name = f"{getmro(Derived)[1].__module__}.{getmro(Derived)[1].__name__}"
-        assert (
-            Derived.__doc__.partition("**Extends:**")[2].strip()
-            == f":class:`{base_cls_name}`"
-        )