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

Iranian Journal of Optimization

مقاله 6، دوره 12، شماره 2، اسفند 2020، صفحه 203-211   

نوع مقاله: Research Paper

نویسندگان

Waziri Mohammed Yusuf^{* 1}؛ Kabir Saminu²

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

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

چکیده

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 .

کلیدواژه‌ها

Eight-order convergence؛ Nonlinear equations؛ Weigth function؛ Efficiency index