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Approximate implementation of Numerical Analysis Algorithms

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Numerical-Analysis

Finding the roots of the equations (actually is approximate root thats why we) using Numerical Analysis Algorithms.

  1. Bisection / Interval Halving Method (in Programmer it is famous by name Binary Search).
  2. Regula-Falsi Method (teacher said we are assuming that the function is straight as we are finding the root in very small interval that why Falsi term intoduced in method name. :) )

Numerical Integration: (newton forword interpretation application, equal size interval division)

  1. Trapezoidal Rule
  2. Simpson's 1/3rd Rule
  3. Simpson's 3/8th Rule
  4. Weddle's Rule

The system of Linear Equations:(iterative method having limited capabilities)

  1. LU Decomposition Method( Cholesky's Decomposition
  2. Gauss-Seidel Method
  3. Jacobi's Method

Numerical Solution of Ordinary Differential Equations:(tangent dependent formula)

  1. Euler's Method
  2. Modified Euler's Method
  3. Runga-Kutta Method( of 4th Code)

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