For solving non-linear equations, iterative root-finding methods are important because of the
broad range of applications in science and engineering. We have constructed an iterative …

In this work, we introduce an extension of the classical Newton's method for solving non-
linear equations. This method is free from second derivative. Similar to Newton's method, the …

We introduce a sequence of third and fourth order iterative schemes to determine the roots
of nonlinear equations by applying quadrature formula and decomposition approach. We …

Fifth and Eleventh-Order Iterative Methods for Roots of Nonlinear Equations Page 1
Hadhramout University Journal of Natural & Applied Sciences Volume 17 Issue 2 Article 6 …

In this paper, we present firstly several one-step iterative methods including classical
Newton's method and Halley's method for root-finding problem based on Thiele's continued …

This study suggests new iterative methods, based on the conventional Newton's method, to
obtain the numerical solutions of nonlinear equations. We prove that our methods include …

For obtaining a simple root of nonlinear equations, we present an optimum fourth-order
iterative technique. By examining certain test problems, we investigate the proposed …

Purpose–Solving the non‐linear equation f (x)= 0 has nice applications in various branches
of physics and engineering. Sometimes the applications of the numerical methods to solve …

In this paper, we first present a fifth-order iterative method, which is a variant of the double-
Newton's method. Based on this new method, we propose a ninth-order iterative method. In …

In recent years several iterative methods have been suggested and analyzed for solving
nonlinear equation f (x)= 0. All these methods can be classified as one-step and two-step …