Families of Iterative Methods with Higher Convergence Orders for Solving Nonlinear Equations

Recently, there has been progress in developing Newton-type methods with higher convergence to solve nonlinear equations. This paper develops new classes of iterative methods with higher convergence orders (more than four) by a construction of two iterative methods of integer-order of convergence, , and > . The construction of such methods provides new classes of methods of order 2 + of convergence. Numerical examples are provided, as well as the use of other existing methods to demonstrate the performance of the presented methods