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Numerical Methods

About

This repository contains the solutions to the assignments I solved during the Numerical Methods course.

Contents

The contents of this repository are organized as follows, with each directory having separate README files outlining the execution related deteails.

  1. Root finding methods -- Assignment1/:
    • Fixed point iteration
    • Newton's method
    • Secant method
  2. Interpolation methods -- Assignment2/:
    • Lagrange Interpolation
    • Newton's divided difference approach
    • Cubic Spline Interpolation
  3. Solving a system of linear equations -- Assignment3/:
    • Gauss Elimination
    • Thomas's Algorithm
  4. Matrix decomposition and inverting methods -- Assignment4/:
    • LU Factorisation
    • Gauss Jordan
  5. Solving a system of linear equations -- Assignment5/Part1:
    • Gauss Seidel Iteration Process
  6. Assignment6:
    • Least Squares Curve Fitting
    • Numerical integration methods which use Rectangular, Trapezoidal and Simpson's rules.
  7. Numerical integration methods -- Assignment7:
    • Euler
    • Improved Euler
    • Backward Euler
  8. Solving the 1-D heat equation -- Endsem_Project:
    • Crank Nicolson method
    • Forward Time and Centre Space (FTCS) Explicit
    • Forward Time and Centre Space (FTCS) Implicit