Numerical Methods with Maxima Software

This repository contains implementations of fundamental numerical methods using Maxima, a powerful computer algebra system. These methods are widely used in scientific computing, engineering, and applied mathematics.

Features

Root-Finding Algorithms

• Bisection Method
• Secant Method
• Regula-Falsi Method
• Newton-Raphson Method

Iterative Solvers

• Gauss-Jacobi Method
• Gauss-Seidel Method

Interpolation Techniques

• Lagrange Interpolation
• Newton Interpolation

Numerical Integration

• Trapezoidal Rule
• Simpson's Rule

Solving Ordinary Differential Equations (ODEs)

• Euler's Method
• Runge-Kutta Methods (2nd and 4th Order)

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Getting Started

Prerequisites

• Maxima Software: Download from the official website.

Clone the Repository

git clone https://github.com/arvindthetech/numerical-methods-maxima.git

Run the Files

1. Open the .mac files in Maxima.
2. Execute the scripts to see the methods in action.

Contribution

Contributions are welcome! To contribute:

1. Fork the repository.
2. Create a new branch.
3. Make your changes and commit them.
4. Submit a pull request.

Author

Arvind Kumar Patel Physics (Hons.) Student | GitHub: https://github.com/arvindthetech

Keywords

Numerical Methods, Maxima Software, Scientific Computing, Bisection Method, Secant Method, Newton-Raphson, Gauss-Jacobi, Gauss-Seidel, Lagrange Interpolation, Newton Interpolation, Trapezoidal Rule, Simpson's Rule, Euler Method, Runge-Kutta, Root Finding, ODEs, Numerical Integration, Open Source.