A Three-Parameter Third-Order Family of Methods for Solving Nonlinear Equations

In this paper a new family of methods free from second derivative is presented. This new family of methods is constructed such that convergence is of order three and requires two require two evaluations of the function and first derivative per iteration. To illustrate the efficiency and performance of the new family of methods, several numerical examples are presented. Further numerical comparisons are made with several other existing third-order methods to show the abilities of the presented family of methods.