Numerical Methods with MATLAB Programming

Welcome to this comprehensive MATLAB programming repository! Here, you'll find a collection of programs and algorithms covering a wide range of topics, from basic operations to advanced numerical methods. Whether you're a student, educator, or professional, these resources are designed to facilitate learning and application of MATLAB in various computational tasks.

Contents

1. Basics of MATLAB

   • Introduction to MATLAB environment
   • Basic syntax and commands

2. Operations

   • Arithmetic operations
   • Logical operations

3. Matrix Manipulation

   • Creating matrices
   • Matrix operations and functions

4. Functions and Symbolic Functions

   • Defining user functions
   • Working with symbolic math toolbox

5. Exponential Function with Graph Plot

   • Implementing exponential functions
   • Plotting and visualizing results

6. Numerical Differentiation Methods

   • Newton's Backward Difference Method
   • Newton's Forward Difference Method
   • Newton's Divided Difference Method

7. Numerical Integration Methods

   • Gauss-Hermite Quadrature Method
   • Gauss-Legendre Quadrature Method
   • Simpson's Rule
   • Trapezoidal Rule

8. Linear Algebra Techniques

   • Reduced Row Echelon Form (RREF)
   • Backward Substitution
   • Forward Substitution
   • Gaussian Elimination
   • Gauss-Jordan Elimination
   • LU Decomposition
   • QR Decomposition
   • Cholesky Decomposition

Usage

Each folder in this repository corresponds to one of the topics listed above. Inside each folder, you'll find MATLAB scripts (.m files) along with a brief description of the algorithm or method implemented.

To run a program, simply navigate to the respective folder and execute the script in your MATLAB environment.

Contributing

Contributions to this repository are welcome! If you have suggestions or improvements, feel free to fork this repository, make your changes, and submit a pull request.

License

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

Contact

If you have any questions or feedback, please open an issue in the repository, and I'll get back to you as soon as possible.

Connect with Me:

• LinkedIn: @Alok Choudhary
• Twitter: @AlokChoudh78331
• Instagram: @alokchoudhary__1

Thank you for visiting, and happy coding!