/Numerical-Methods

numerical methods implementation via MATLAB

Primary LanguageMATLAB

Numerical Methods

Numerical Methods implementation via MATLAB.

Curve Fitting

  • Linear Regression Curve Fitting
  • Least Square Polynomials

Numerical Integration

  • Composite Boole method
  • Composite Simpson 1/3 method
  • Composite Simpson 3/8 method
  • Composite Trapezoidal method
  • Composite Weddle rule
  • Unequally Spaced Trapezoidal Rule Quadrature
  • Gauss-Legendre Integration/Quadrature

Interpolation

  • Lagrange method
  • Newton method

Linear System of Equations

  • Backward substitution
  • Forward substitution
  • Cholesky method
  • Crout method
  • Doolittle method
  • Gauss Elimination
  • Gauss-Jorden method
  • Gauss-Seidel iteration method
  • Jacobi method

Ordinary Differential Equations (Initial Value Problem)

  • Runge-Kutta (Order Two) method
  • Runge-Kutta (Order Three) method
  • Runge-Kutta (Order Four) method
  • Euler method
  • Midpoint method
  • Taylor (Order Two) method
  • Taylor (Order Four) method

Solution of Nonlinear Equations f(x)=0

  • Fixed-Point iteration
  • Bisection method
  • False-Position method
  • Newton-Raphson iteration
  • Secant Method