Fortran Program For Secant Method Vs Newton
Secant Method Questions
The Secant Method The Secant MethodAssignment: StartNew Fortran: NoneThe Secant Method for Solving Non-linear Algebraic EquationsThe Secant method is just a variation on the Newton method. You may recall that Newton'smethod was derived from use of the Taylor series expansion, beginning with an equation in theform:All iterative solution methods must begin with some guess x 0 for the value of x that solves theequation. The derivation of the solution method begins with an application of a Taylor Seriesexpansion of the function about the point x 0.We continue by using this expanded equation to find the x such that f(x)=0. To accomplish thiswe make the assumption that x 0 is close enough to the final solution value of x that (x-x 0) 2, (x-x 0) 3,and higher powers of this difference are small enough to ignore.