Title of article :
A New Eight-Order Iterative Method for Solving Nonlinear Equations with High Efficiency index
Author/Authors :
waziri, mohammed yusuf bayero university kano - faculty of science - department of mathematical sciences, Kano, Nigeria , saminu, kabir dr. yusufu bala usman college daura - school of general studies - department of mathematics, Katsina, Nigeria
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.
Keywords :
Eight , order convergence , Nonlinear equations , Weigth function , Efficiency index
Journal title :
IJO: Iranian Journal of Optimization
Journal title :
IJO: Iranian Journal of Optimization
