On the Development of Numerical Iterated Method of Newton Raphson method for Estimating Nonlinear Equations

Abstract

This paper used the Newton-type Method for estimating a single root of nonlinear equations. This method is iterative method and also known as one of the open methods. Open method are fast converging method as compared to closed method but the convergence is not guaranteed. Since open methods are fast convergence methods that is why they are widely used in Applied Mathematics. The proposed numerical technique is second order of convergence, and which is based on Newton Raphson method. The developed algorithm is compared with the well-known Newton Raphson Method and results show that our developed method is much better than the well-known method. Furthermore, examples are also give in order to give more detailed about the present work and reader will come to know that why developed method is much better as compare to well-known method.