https://github.com/hamzakamelen/numerical-integration

Numerical Integration - Midpoint, Trapezoid, Simpson's 1/3 and Simpson 3/8 Rule using Python
https://github.com/hamzakamelen/numerical-integration

matplotlib-pyplot midpoint-method numerical-analysis numerical-integration python scipy simpson-1-3 simpson-3-8 streamlit trapezoidal-method

Last synced: 3 months ago
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Numerical Integration - Midpoint, Trapezoid, Simpson's 1/3 and Simpson 3/8 Rule using Python

• Host: GitHub
• URL: https://github.com/hamzakamelen/numerical-integration
• Owner: hamzakamelen
• License: mit
• Created: 2024-06-30T11:34:00.000Z (7 months ago)
• Default Branch: main
• Last Pushed: 2024-07-23T12:02:04.000Z (6 months ago)
• Last Synced: 2024-10-15T17:29:23.635Z (3 months ago)
• Topics: matplotlib-pyplot, midpoint-method, numerical-analysis, numerical-integration, python, scipy, simpson-1-3, simpson-3-8, streamlit, trapezoidal-method
• Language: Python
• Homepage: https://numerical-integration-duet-project.streamlit.app/
• Size: 15.1 MB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: readme.md
  • License: LICENSE.txt

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README

        
# Numerical Integration Methods

This is a university *4th* Semester project that implements various numerical integration methods including *Midpoint, Trapezoid, Simpson's 1/3 and Simpson 3/8* using Python and Streamlit.

#### Note: This is Team/Group Project

#### Team Members

- Hamza Kamelen

- Muzamil Khalid

- Wajahat Tariq

- Moiz Mansoori

- Rayyan Ahmed

- Muhammad Sami

## Overview

This project provides an interactive web application to demonstrate and compare different numerical integration techniques, including:

- Midpoint Rule

- Simpson's 1/3 Rule

- Simpson's 3/8 Rule

- Trapezoidal Rule

The application allows users to input custom functions or discrete data points and visualizes the integration process.

## Features

- Interactive user interface built with Streamlit

- Support for both continuous functions and discrete data points

- Real-time calculation and visualization of integration results

- Comparison of estimated values with actual integrals (for continuous functions)

- Error calculation and display

## Requirements

To run this project, you need the following Python libraries:

- streamlit

- numpy

- matplotlib

- scipy

You can install these dependencies using the provided `requirements.txt` file.

## Usage

1. Clone this repository

2. Install the required dependencies:

3. pip install -r requirements.txt

4. Run the Streamlit app:

## Project Structure

- `main.py`: The main Streamlit application

- `Trapezoidal.py`: Implementation of the Trapezoidal Rule

- `simpson_1_3.py`: Implementation of Simpson's 1/3 Rule

- `simpson_3_8.py`: Implementation of Simpson's 3/8 Rule

- `midpoint.py`: Implementation of the Midpoint Rule

- `requirements.txt`: List of required Python packages

## License

This project is open-source and available under the MIT License.