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

Subject Areas : International Journal of Mathematical Modelling & Computations

Mohammed waziri Yusuf ¹ , Kabir Saminu ²

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

Received: 2019-04-03 Accepted : 2019-08-15 Published : 2019-09-30

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

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.