Mohammed waziri Yusuf - Department of‎ ‎Mathematical sciences, ‎‎Faculty of Science‎, ‎Bayero University Kano, Kano‎, ‎Nigeria
Kabir Saminu - Department of‎ ‎Mathematics‎, ‎School of General Studies, ‎‎Dr‎. ‎Yusufu Bala Usman College Daura‎, ‎Katsina, Katsina‎, ‎Nigeria

In this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(۳) functions evaluation with efficiency index of ۸۱/۴ ≈ ۱.۶۸۲. Numerical results reported here, between the proposed method with some other existing methods shows that our method is promising.

Eight-order convergence, ‎Non-linear equations, ‎Mid-point, ‎Efficiency index‎