Gauss Jordan Method

This set of simulations make use of the Alternating Direction Implicit method for solving the parabolic wave equation that arises in FD BPM.The zip file includes the following programs:FDBPM3D_free_space.m - Animation and video of the 3D propagation.FDBPM3D_free_space_slice.m - It shows slices of...

Mackey-Glass Time Series Forecasting using Wang-Mendel Method

This programs gives solution of 2nd order differential equation with variable coefficients by Rayleigh Ritz method using linear interpolation


Platforms: Matlab

Designing a Controller and obtaining the Controller Function by rootlocuse method


Platforms: Matlab

Gauss numerical integration of univariate funcitons by 7-point Gaussian quadrature. Very accuracy and fast.


Platforms: Matlab

This programs explains the formulation of Ybus by singular transformation method of an IEEE 14 bus system


Platforms: Matlab

One of several approaches to outlier rejection, Peirce's method is more general than Chauvenet's method.As constructed this works on univariate data only.


Platforms: Matlab

The code implements the shooting method by means of the Runge-Kutta method of 4th order and the interval bisection method. There is the graphical interface too. When the differential equation is inserted in terms of the standard mathematical notation (no in MATLAB code), the programme create the...


Platforms: Matlab

%%%%%%%%%%%%%%%%%% EULER_modified_ODE.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Euler modified approximation method to solve IVP ODEs% f defines the function f(t,y)% t0 defines initial value of t% y0 defines initial value of y


Platforms: Matlab

To calculate an area S(A) of a figure A, bounded by a Jordan curve (which in our case is constructed by a cubic splineapproximation) the Monte Carlo method is applied


Platforms: Matlab

Thee purpose,1. Speed up the convergence of correcting for each points (By newton method).2. To find the first few points by this method instead of R.K. method.3. To apply for higher order polynomial fitting.


Platforms: Matlab

This is a very simple method to find prime numbers. I use a mathematical function to find non prime numbers. Thus I have compared its efficiency with a code found on Matlab Central, Written by John D'Errico.


Platforms: Matlab

Its based on the traditional box-counting method for finding the fractal dimension of an image. The code is just for beginners for getting an idea of how the box-counting is done.


Platforms: Matlab

%%%%%%%%%%%%%%%%% EULER_backward_ODE.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Euler modified approximation method to solve IVP ODEs% f defines the function f(t,y)% t0 defines initial value of t% y0 defines initial value of y


Platforms: Matlab

Implementation of Defect Correction Method for iteratively solving a linear equation system. A Preconditioning strategy can be used to accelerate convergence.


Platforms: Matlab

The Fixed Point Method is applied to a given function.Convergence conditions are as followed: f(xa)=0 (=) xa=g(xa) => xa[n+1]=g(xn), n=0,1,..Error majoration: |e(xk)|


Platforms: Matlab

Newton's Method for Divided Differences.The following formula is solved:Pn(x) = f(x0) + f[x0,x1](x-x0) + f[x0,x1,x2](x-x0)(x-x1) + ... + f[x0,x1,..,xn](x-x0)(x-x1)..(x-x[n-1])Where:f[x0,x1] = (f(x1-f(x0))/(x1-x0)f[x0,x1,..,xn] = (f[x1,..,xn]-f[x0,..,x_[n-1]])/(xn-x0)


Platforms: Matlab

Generates points and weights for Gauss Laguerre Quadrature, to a tolerance, tested for N < 300Finds zeros and improves via recursion


Platforms: Matlab

Basic GUI for Beam Propagation Method for advancing gaussian beam in a profiled medium.It can be used to demonstarate the concept of beam propagation.Any comment will be welcomed.


Platforms: Matlab

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Platforms: PHP