Document Type : Research Paper


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


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 .


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