Numerical Solver GUI Application

This repository hosts a comprehensive GUI application for numerical analysis, consisting of two distinct phases.

Phase 1: Linear Equation Solver

Objective:

Compare and analyze the behavior of numerical methods for solving systems of linear equations.

Implemented Methods:

1. Gauss Elimination
2. Gauss Jordan
3. LU Decomposition
4. Gauss Seidel
5. Jacobi Iteration

Features:

• User-friendly GUI for equation input.
• Selection of solving methods via a drop-down list.
• Parameter input for selected methods.
• Precision control for results.
• Step-by-step simulation visualization.
• Automatic application of partial pivoting.

Phase 2: Non-Linear Root Finder

Objective:

Extend the application to include root-finding capabilities for non-linear equations.

Implemented Methods:

1. Bisection
2. False-Position
3. Fixed Point
4. Original Newton-Raphson
5. Modified Newton-Raphson
6. Secant Method

Features:

• Free-text input for non-linear equations.
• Function plotting for initial guesses.
• Method selection via a drop-down list.
• Parameter input for selected methods.
• Precision control (significant figures, EPS, max iterations).
• Step-by-step simulation visualization.

Usage:

1. Clone the repository.
2. Run the GUI application by running https://github.com/Saifullah-1/Numerical-Solver/blob/master/main.py.
3. Input your equations, choose methods, and explore numerical analysis capabilities.