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