Newton's method

Newton corrector method for ordinary differential equation in matlab

The following Matlab project contains the source code and Matlab examples used for newton corrector method for ordinary differential equation. 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.

Newton raphson in matlab

The following Matlab project contains the source code and Matlab examples used for newton raphson. This M-file calculates all the real roots of the given polynomial. It calls syn_division, a synthetic division function, and derivate, differentiation function.

Finds the root(s) of a function of one variable, including complex roots, using newton's method. in matlab

The following Matlab project contains the source code and Matlab examples used for finds the root(s) of a function of one variable, including complex roots, using newton's method. . NEWTZERO(f,xr,n,tol) finds roots of function f near guess xr with n iterations to tolerance tol.

Newton raphson method for transcendental equations in matlab

The following Matlab project contains the source code and Matlab examples used for newton raphson method for transcendental equations. This code evaluates the root of transcendental equation with the help of Newton Raphson method with enhanced features like vanishing of differential of a function, Infinite cycling for root due to a poor initial approximation or when a root exists but differential does not.

Newton's method for divided differences. in matlab

The following Matlab project contains the source code and Matlab examples used for newton's method for divided differences.. 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)

Newton raphson in matlab

The following Matlab project contains the source code and Matlab examples used for newton raphson . Newton-raphson method or Successive Approximation method to find root of an equation. Just enter the equation and the starting point as input and function will give you the exact root of the equation.

Solves the wave dispersion relation using the newton-raphson method including currents in matlab

The following Matlab project contains the source code and Matlab examples used for solves the wave dispersion relation using the newton-raphson method including currents . Solves the wave dispersion relation   sig^2 = g*wk*tanh(wk*h)  where   g = gravity [L/T^2]   h = water depth [L]   sig = Relative angular frequency [rad/T]   sig = wa - wk*cos(wd)*u - wk*cos(wd)*v = wa - wk*uk [rad/T]   uk = cos(wd)*u + sin(wd)*v [L/T]   u = current velocity in x direction [L/T]   v = current velocity in y direction [L/T]  The Newton-Raphson Method is given by

Newton raphson method to find roots of a polynomial in matlab

The following Matlab project contains the source code and Matlab examples used for newton raphson method to find roots of a polynomial. Root finding problems are often encountered in numerical analysis. Newton-Raphson method is the simplest among all root finding algorithm, which is illustrated to find roots of a simple polynomial X*X-7=0. Ref [1]: http://www.math.colostate.edu/~gerhard/classes/331/lab/newton.html Ref [2]:

Secant Method Matlab Code

Secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. The secant method can be thought of as a finite difference approximation of Newton's method. However, the method was developed independently of Newton's method, and predated the latter by over 3,000 years.

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