A New Eight-Order Iteretive Method for Solving Nonlinear Equations with High Efficiency index

Subject Areas : Numerical Analysis

Waziri Mohammed 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: 2019-09-29 Accepted : 2020-12-20 Published : 2020-12-01

Keywords: Nonlinear Equations, Eight-order convergence, Efficiency index, Weigth function,

Abstract :

In this paper, we develop a new eighth-order method for simple roots of non- linear equations via weight function and interpolation methods. The method requires only three(3) function evaluation and a derivative evaluation with 81/4 ≈ 1.682 efficiency index . Numerical comparison between the proposed method with some other methods were presented, which shows that our method is promising .