Fortran Program For Secant Method Numerical

Although the Newton-Raphson method is very powerfull to solve non-linear equations, evaluating of the function derivative is the major difficulty of this method. To overcome this deficiency, the secant method starts the iteration by employing two starting points and approximates the function derivative by evaluating of the slope of the line passing through these points. The secant method has been shown in Fig. 1. As it is illustrated in Fig. 1, the new guess of the root of the function f(x) can be found as follows:

Secant method solving for pipe. END INTERFACE CALL Secant(f,xold,xnew,xolder) END PROGRAM Pipes. Tagged fortran numerical-methods fluid-dynamics. SECANT METHOD EXACT ROOT FOUND AT X = 1. Numerical Mathematics and Computing. Sample Newton method: secant.f90: 127-128. The Secant Method does not generalize well to. Secant Method Vs Newton Method. Numerical Analsysis: Mathematics of Scientific Computing, 3rd Ed. Sample Fortran Programs Numerical Analysis: Mathematics of Scientific Computing Third Edition David Kincaid & Ward Cheney Sample Fortran Computer Programs This page contains a list of sample Fortran computer programs associated with our textbook.

Fig. 1.The secant method

In the first glance, the secant method may be seemed similar to linear interpolation method, but there is a major difference between these two methods. In the secant method, it is not necessary that two starting points to be in opposite sign. Therefore, the secant method is not a kind of bracketing method but an open method. This major difference causes the secant method to be possibly divergent in some cases, but when this method is convergent, the convergent speed of this method is better than linear interpolation method in most of the problems.