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README.md

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-# -Numerical-Analysis
+# Numerical Analysis Methods
+
+Welcome to the **Numerical Analysis Methods** repository! This project is designed to implement and demonstrate various **numerical methods** for solving mathematical problems, such as finding roots, solving differential equations, and performing numerical integration.
+
+This repository is ideal for students and professionals looking to understand and apply numerical techniques in programming. All methods are implemented with well-documented code, including explanations and examples.
+
+---
+
+## 🔢 Methods Implemented
+
+Here’s a list of the numerical methods you will find in this repository:
+
+### 1. Root-Finding Algorithms
+- **Bisection Method**
+  - A simple bracketing method that finds the root by successively halving the interval.
+
+- **Newton-Raphson Method**
+  - A powerful root-finding algorithm that uses derivatives to quickly converge to a solution.
+
+- **False Position Method (Regula Falsi)**
+  - Similar to the bisection method but with better convergence properties.
+
+- **Secant Method**
+  - An iterative method that does not require derivatives and improves upon the false position method.
+
+### 2. Numerical Integration
+- **Trapezoidal Rule**
+  - A technique to approximate definite integrals by dividing the area under the curve into trapezoids.
+
+- **Simpson's Rule**
+  - An advanced technique that uses parabolic segments for better accuracy in approximating integrals.
+
+### 3. Linear Algebraic Solvers
+- **Gauss-Seidel Method**
+  - An iterative method to solve systems of linear equations.
+
+- **Jacobi Iteration Method**
+  - Another iterative method, similar to Gauss-Seidel, for solving linear systems.
+
+### 4. Differential Equations Solvers
+- **Euler's Method**
+  - A simple, first-order method for solving ordinary differential equations (ODEs).
+
+- **Runge-Kutta Methods**
+  - More advanced methods for solving ODEs with higher accuracy, including the popular RK4 method.
+
+---
+
+## 📂 Structure of the Repository
+
+Each method is stored in a separate files and includes:
+- The code implementation in **C++** (or other programming languages).
+
+---
+
+## 💻 How to Use
+
+1. Clone this repository to your local machine:
+   ```bash
+   git clone https://github.com/wasiif/NumericalAnalysis.git