Numerical_Methods

I have uploaded assignments of this course. This course was offered in the 5th semester of graduation.
Here are the MATLAB codes for various numerical methods of computations.

Assignment-1

Illustrated some methods for finding the roots of a function:

• Bisection
• Fixed point
• False position
• Newton Raphson
• Secant
• Muller
• Bairstow

Assignment-2

Method for finding the solution some system of linear equation and finding the eiganvalues and Inverse of a matrix

• Gauss elimination
• Gauss jordon
• Thomas
• Dolittle
• Crout
• Cholesky
• QR method

Assignment-3

Least square regression and Interpolation and polynomial fitting

• Least Square
• Langrange polynomial
• Newton's Interpolation
• Spline
  • Linear
  • Quardratic
  • Natural
  • Not-a-knot
  • Periodic
  • Clamped

Assignment-4

Ordinary Differential Equation and solving Initial Value Problem(IVP) and Boundary Value Problem(BVP)

• Eular Forward
• Eular Backward
• Trapezoidal
• Adam Bashforth
• Adam Moulton
• Backward Difference Formulation(BDF)
• Runge Kutta
• Solving BVP
  • 2nd Order Backward Difference
  • 2nd Order Central Difference with Ghost Node