A Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index
الموضوعات : فصلنامه ریاضیMohammed 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
الکلمات المفتاحية: Eight-order convergence, Non-linear equations, Mid-point, Efficiency index,
ملخص المقالة :
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.
