feat(maths): add numerical methods for solving ordinary differential ecuations by sauriopqno · Pull Request #14864 · TheAlgorithms/Python

sauriopqno · 2026-06-27T05:35:52Z

…equations

Describe your change:

This pull request introduces a new module containing two classic numerical methods for solving first-order Ordinary Differential Equations (ODEs) of the form y' = f(x, y).

The implemented methods are:

Euler's Method: A first-order numerical procedure for solving ODEs with a given initial value.
Heun's Method: An improved version of the Euler method (2nd-order accuracy) using a predictor-corrector approach.

Add an algorithm?
Fix a bug or typo in an existing algorithm?
Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
Documentation change?

Checklist:

…equations

for more information, see https://pre-commit.ci

algorithms-keeper

Click here to look at the relevant links ⬇️

🔗 Relevant Links

Repository:

Contributing guidelines

Project Euler solution guidelines

Python:

Formatted string literals (f-strings)

Type hints

doctest

unittest

pytest

Automated review generated by algorithms-keeper. If there's any problem regarding this review, please open an issue about it.

algorithms-keeper commands and options

algorithms-keeper actions can be triggered by commenting on this PR:

@algorithms-keeper review to trigger the checks for only added pull request files

@algorithms-keeper review-all to trigger the checks for all the pull request files, including the modified files. As we cannot post review comments on lines not part of the diff, this command will post all the messages in one comment.

NOTE: Commands are in beta and so this feature is restricted only to a member or owner of the organization.

algorithms-keeper · 2026-06-27T05:36:40Z

+
+
+def euler_method(
+    f: Callable[[float, float], float], x0: float, y0: float, h: float, steps: int


Please provide descriptive name for the parameter: f

Please provide descriptive name for the parameter: h

algorithms-keeper · 2026-06-27T05:36:40Z

+
+
+def heuns_method(
+    f: Callable[[float, float], float], x0: float, y0: float, h: float, steps: int


Please provide descriptive name for the parameter: f

Please provide descriptive name for the parameter: h

algorithms-keeper · 2026-06-27T05:36:40Z

+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()


As there is no test file in this pull request nor any test function or class in the file maths/numerical_analysis/ordinary_differential_equations.py, please provide doctest for the function example_ode

Please provide descriptive name for the parameter: x

Please provide descriptive name for the parameter: y

…equations

algorithms-keeper

Click here to look at the relevant links ⬇️

🔗 Relevant Links

Repository:

Contributing guidelines

Project Euler solution guidelines

Python:

Formatted string literals (f-strings)

Type hints

doctest

unittest

pytest

Automated review generated by algorithms-keeper. If there's any problem regarding this review, please open an issue about it.

algorithms-keeper commands and options

algorithms-keeper actions can be triggered by commenting on this PR:

@algorithms-keeper review to trigger the checks for only added pull request files

@algorithms-keeper review-all to trigger the checks for all the pull request files, including the modified files. As we cannot post review comments on lines not part of the diff, this command will post all the messages in one comment.

NOTE: Commands are in beta and so this feature is restricted only to a member or owner of the organization.

algorithms-keeper · 2026-06-27T05:55:28Z

+
+
+def euler_method(
+    f: Callable[[float, float], float], x0: float, y0: float, h: float, steps: int


Please provide descriptive name for the parameter: f

Please provide descriptive name for the parameter: h

algorithms-keeper · 2026-06-27T05:55:28Z

+
+
+def heuns_method(
+    f: Callable[[float, float], float], x0: float, y0: float, h: float, steps: int


Please provide descriptive name for the parameter: f

Please provide descriptive name for the parameter: h

algorithms-keeper · 2026-06-27T05:55:28Z

+    doctest.testmod()
+
+    # example
+    def example_ode(x: float, y: float) -> float:


As there is no test file in this pull request nor any test function or class in the file maths/numerical_analysis/ordinary_differential_equations.py, please provide doctest for the function example_ode

Please provide descriptive name for the parameter: x

Please provide descriptive name for the parameter: y

algorithms-keeper

Click here to look at the relevant links ⬇️

🔗 Relevant Links

Repository:

Contributing guidelines

Project Euler solution guidelines

Python:

Formatted string literals (f-strings)

Type hints

doctest

unittest

pytest

Automated review generated by algorithms-keeper. If there's any problem regarding this review, please open an issue about it.

algorithms-keeper commands and options

algorithms-keeper actions can be triggered by commenting on this PR:

@algorithms-keeper review to trigger the checks for only added pull request files

@algorithms-keeper review-all to trigger the checks for all the pull request files, including the modified files. As we cannot post review comments on lines not part of the diff, this command will post all the messages in one comment.

NOTE: Commands are in beta and so this feature is restricted only to a member or owner of the organization.

algorithms-keeper · 2026-06-27T06:00:53Z

+
+
+def euler_method(
+    f: Callable[[float, float], float], x0: float, y0: float, h: float, steps: int


Please provide descriptive name for the parameter: f

Please provide descriptive name for the parameter: h

algorithms-keeper · 2026-06-27T06:00:53Z

+
+
+def heuns_method(
+    f: Callable[[float, float], float], x0: float, y0: float, h: float, steps: int


Please provide descriptive name for the parameter: f

Please provide descriptive name for the parameter: h

algorithms-keeper · 2026-06-27T06:00:53Z

+    doctest.testmod()
+
+    # example
+    def example_ode(x: float, y: float) -> float:


As there is no test file in this pull request nor any test function or class in the file maths/numerical_analysis/ordinary_differential_equations.py, please provide doctest for the function example_ode

Please provide descriptive name for the parameter: x

Please provide descriptive name for the parameter: y

…pqno/Python into add-ode-numerical-methods Edit theordinary_differential_ecuations.py file

for more information, see https://pre-commit.ci

sauriopqno and others added 2 commits June 26, 2026 23:22

feat(maths): add numerical methods for solving ordinary differential …

566d47d

…equations

[pre-commit.ci] auto fixes from pre-commit.com hooks

aa1e89d

for more information, see https://pre-commit.ci

algorithms-keeper Bot added awaiting reviews This PR is ready to be reviewed require descriptive names This PR needs descriptive function and/or variable names require tests Tests [doctest/unittest/pytest] are required labels Jun 27, 2026

algorithms-keeper Bot reviewed Jun 27, 2026

View reviewed changes

algorithms-keeper Bot added the tests are failing Do not merge until tests pass label Jun 27, 2026

feat(maths): add numerical methods for solving ordinary differential …

a123c2a

…equations

algorithms-keeper Bot reviewed Jun 27, 2026

View reviewed changes

sauriopqno force-pushed the add-ode-numerical-methods branch from c56880e to f5b57a9 Compare June 27, 2026 06:00

algorithms-keeper Bot reviewed Jun 27, 2026

View reviewed changes

Merge branch 'add-ode-numerical-methods' of https://github.com/saurio…

6282e30

…pqno/Python into add-ode-numerical-methods Edit theordinary_differential_ecuations.py file

sauriopqno force-pushed the add-ode-numerical-methods branch from f6b8bd2 to 6282e30 Compare June 27, 2026 06:06

algorithms-keeper Bot removed require descriptive names This PR needs descriptive function and/or variable names require tests Tests [doctest/unittest/pytest] are required labels Jun 27, 2026

[pre-commit.ci] auto fixes from pre-commit.com hooks

9fab713

for more information, see https://pre-commit.ci

algorithms-keeper Bot removed the tests are failing Do not merge until tests pass label Jun 27, 2026

mindaugl approved these changes Jun 28, 2026

View reviewed changes



		def euler_method(
		f: Callable[[float, float], float], x0: float, y0: float, h: float, steps: int



		def heuns_method(
		f: Callable[[float, float], float], x0: float, y0: float, h: float, steps: int

Uh oh!

Uh oh!

Conversation

sauriopqno commented Jun 27, 2026

Describe your change:

Checklist:

Uh oh!

algorithms-keeper Bot left a comment

Choose a reason for hiding this comment

🔗 Relevant Links

Repository:

Python:

Automated review generated by algorithms-keeper. If there's any problem regarding this review, please open an issue about it.

algorithms-keeper actions can be triggered by commenting on this PR:

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

algorithms-keeper Bot left a comment

Choose a reason for hiding this comment

🔗 Relevant Links

Repository:

Python:

Automated review generated by algorithms-keeper. If there's any problem regarding this review, please open an issue about it.

algorithms-keeper actions can be triggered by commenting on this PR:

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

algorithms-keeper Bot left a comment

Choose a reason for hiding this comment

🔗 Relevant Links

Repository:

Python:

Automated review generated by algorithms-keeper. If there's any problem regarding this review, please open an issue about it.

algorithms-keeper actions can be triggered by commenting on this PR:

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

algorithms-keeper Bot Jun 27, 2026

Choose a reason for hiding this comment

Uh oh!

Reviewers

Assignees

Labels

Projects

Milestone

Development

Uh oh!

2 participants