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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.