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.