We present a family of fourteenth-order convergent iterative methods for solving nonlinear equations involving a specific step which when combined with any two-step iterative method raises the convergence order byn+10, ifnis the order of convergence of the two-step iterative method. This new class include four evaluations of function and one evaluation of the first derivative per iteration. Therefore, the efficiency index of this family is141/5 =1.695218203. Several numerical examples are given to show that the new methods of this family are comparable with the existing methods.
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