In this paper a three-step numerical method, using weight function, has been derived for
finding the root of non-linear equations. The proposed method possesses the accuracy of …

It'sa big challenge for researchers to locate the root of nonlinear equations with minimum
cost, lot of methods are already exist in literature to find root but their cost are very high In …

In this paper we have constructed an optimal eighth-order method with four function
evaluations to solve the nonlinear equations. The proposed method is a three-step method …

In this paper, a new fourth-order family of methods free from second derivative is obtained.
This new iterative family contains the King's family, which is one of the most well-known …

This paper proposes a modified technique for solving nonlinear equations. The technique is
fully free from derivative calculation per full cycle and consumes only four pieces of function …

This article presents a new iterative scheme to find the roots of nonlinear equations. We use
composition technique and weight function procedure to construct new three-step eighth …

Its most important task in numerical analysis to find roots of nonlinear equations, several
methods already exist in literature to find roots but in this paper, we introduce a unique idea …

The present paper deals with fifth order convergent Newton-type with and without derivative
iterative methods for estimating a simple root of nonlinear equations. The error equations …

In this paper, a new fifth-order family of methods free from second derivative is obtained.
This new iterative family contains the King's family, which is one of the most well-known …

In this paper, we present a family of three-point with eight-order convergence methods for
finding the simple roots of nonlinear equations by suitable approximations and weight …