A Three-Point Iteretive Method for Solving Nonlinear Equations with High Efficiency index

Document Type: Full Length Article

Authors

1 Bayero University Kano

2 Department of Mathematical sciences Faculty of Science, Bayero University Kano Kano, 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 .

Keywords