  In this paper, we present a family of three-point with eight-order
convergence methods for finding the simple roots of nonlinear equations by
suitable approximations and weight function based on Maheshwari method. Per
iteration this method requires three evaluations of the function and one
evaluation of its first derivative. This class of methods has the efficiency
index equal to $8^{\frac{1}{4}}\approx 1.682$. We describe the analysis of the
proposed methods along with numerical experiments including comparison with
existing methods.
