A Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index

Document Type: Full Length Article

Authors

1 Department of‎ ‎Mathematical sciences, ‎‎Faculty of Science‎, ‎Bayero University Kano, Kano‎, ‎Nigeria

2 Department of‎ ‎Mathematics‎, ‎School of General Studies, ‎‎Dr‎. ‎Yusufu Bala Usman College Daura‎, ‎Katsina, Katsina‎, ‎Nigeria

Abstract

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(3) functions evaluation with efficiency index of 81/4 ≈ 1.682. Numerical results reported here, between the proposed method with some other existing methods shows that our method is promising.

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