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

International Journal of Mathematical Modelling & Computations

مقاله 2، دوره 9، 3 (SUMMER) - شماره پیاپی 35، آذر 2019، صفحه 175-185   

نوع مقاله: Full Length Article

نویسندگان

Mohammed waziri 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 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.

کلیدواژه‌ها

Eight-order convergence؛ ‎Non-linear equations؛ ‎Mid-point؛ ‎Efficiency index‎