A new second order open iterated method without second derivative for solving nonlinear equations

Abstract

In this paper, an open second order iterated method has been recommended and investigated for solving non-linear equations. The proposed method is very much effective and convenient, and it is free from second derivative. The open iterated method is based on Taylor Series and Newton Raphson Method. We have detected in numerical conclusion is that the new iterative method is speedily converge with the assessment of Newton Raphson Method. Its hypothetical fallouts and high computational competency is confirmed by Numerical illustrations. Throughout the study, it has been apparent that the proposed open algorithm is a good attainment to solve all possible roots of nonlinear equations.