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

محورهای موضوعی : فصلنامه ریاضی

Mohammed waziri Yusuf ¹ (Department of Mathematical sciences, Faculty of Science, Bayero University Kano, Kano, Nigeria)
Kabir Saminu ² (Department of Mathematics, School of General Studies, Dr. Yusufu Bala Usman College Daura, Katsina, Katsina, Nigeria)

تاریخ دریافت : 1398/01/14 تاریخ پذیرش : 1398/05/24 تاریخ انتشار : 1398/07/08

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

چکیده مقاله :

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.