Fixed Point Calculator

🔢 Overview

The Fixed Point Calculator is a mathematical tool that finds the root of a function using the fixed-point iteration method. Given an initial guess and a function g(x), it iteratively applies g(x) to approximate the root.

🛠️ Features

• User Input for Function: Enter mathematical functions like sin(x), cos(x), ln(x), etc.
• Initial Guess Selection: Define the starting point for iteration.
• Tolerance Control: Set the precision for stopping the iteration.
• Iteration Count: Displays the number of iterations needed to approximate the root.
• User-Friendly Interface: Simple and interactive UI.

📁 Project Structure

📦 fixed-point-calculator
┣ 📜 index.html  # UI structure
┣ 📜 style.css   # Styling for the calculator
┣ 📜 index.js   # JavaScript logic for fixed-point iteration

🚀 How to Use

1. Enter a Function: Example: cos(x) (for solving x = cos(x)).
2. Provide an Initial Guess: Choose a starting value for x.
3. Set a Tolerance: Adjust precision (default is 0.000001).
4. Click Calculate: Get the approximate root and iteration count.

🔧 Technologies Used

• HTML5 - Structure of the web page.
• CSS3 - Styling for a clean UI.
• JavaScript - Implements the fixed-point iteration method.

📌 Future Enhancements

• Support for more complex mathematical expressions.
• Graphical representation of the iteration process.
• Improved error handling for divergence cases.
• Dark mode option.

📞 Contact

For any questions or contributions, feel free to reach out! => roumaissa.hadibi.dev@gmail.com

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📊 Solve equations with ease! 🧮