Document Type : Research Paper

Authors

• Waziri Mohammed 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

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

Main Subjects

• Numerical Analysis