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

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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

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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

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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

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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

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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

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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 …

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…equations

algorithms-keeper Bot reviewed Jun 27, 2026

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

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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

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



		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

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sauriopqno commented Jun 27, 2026

Describe your change:

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