README.md

Numerical Method Labs

• Lab 1

  • Bisection Method
  • Newton Raphson Method
  • Secant Method
  • Newton's Method for Polynomials
  • Fixed Point Iteration Method

• Lab 2

  • Polynomial interpolation using Lagrange's Method
  • Polynomial interpolation using Newton's Interpolation
  • Newton's Interpolation using Forward Difference Formula
  • Newton's Interpolation using Backward Difference Formula
  • Fitting a linear equation
  • Fitting a exponential equation
  • Fitting a polynomial equation

• Lab 3

  • First and Second Derivatives using Central Difference Formula
  • Integrating a Function using Composite Trapezoidal Rule
  • Integrating a Function using Composite Simpson's 3/8 Rule
  • Integrating a Function using Composite Simpson's 1/3 Rule
  • Derivatives using Newton's Divided Differences Table

• Lab 4

  • Solving linear system using :-

    • Gaussian Elimination with Partial Pivoting
    • Gauss-Jordan Method with Partial Pivoting
    • Jacobi Iterative Method
    • Gauss-Seidel Iterative Method

  • Finding Eigen Values and Eigen Vectors using Power Method

• Lab 5

  • Heun's method
  • Euler's method
  • 4th order Runge Kutta method