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 …

In this paper, a new three-step ITERATIVE METHOD for finding a simple root of the
NONLINEAR EQUATION of f (x)= 0 will be introduced. This method is based on the two-step …

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 …

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 non‐linear …

In this paper a new iterative method is proposed to find a root of a nonlinear equation. The
new method does not use derivatives. When the starting value is selected to be close to a …

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 deals with a new class of two-step iterative algorithms for solving nonlinear
equations. These algorithms are based on high order Newton-type methods in order to …

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 …

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 …