A New Eight-Order Iteretive Method for Solving Nonlinear Equations with High Efficiency index
محورهای موضوعی : Numerical Analysis
Waziri Mohammed 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
)
کلید واژه: Nonlinear Equations, Eight-order convergence, Efficiency index, Weigth function,
چکیده مقاله :
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 .
