A Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index

Mohammed waziri Yusuf; Kabir Saminu

A Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index

Publish place: International Journal of Mathematical Modelling and Computations، Vol: 9، Issue: 3

Publish Year: 1398

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/1589977

شناسه ملی سند علمی:

JR_IJMAC-9-3_002

تاریخ نمایه سازی: 27 دی 1401

Abstract:

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(۳) functions evaluation with efficiency index of ۸۱/۴ ≈ ۱.۶۸۲. Numerical results reported here, between the proposed method with some other existing methods shows that our method is promising.

Keywords:

Eight-order convergence , ‎Non-linear equations , ‎Mid-point , ‎Efficiency index‎

Authors

Mohammed waziri Yusuf

Department of‎ ‎Mathematical sciences, ‎‎Faculty of Science‎, ‎Bayero University Kano, Kano‎, ‎Nigeria

Kabir Saminu

Department of‎ ‎Mathematics‎, ‎School of General Studies, ‎‎Dr‎. ‎Yusufu Bala Usman College Daura‎, ‎Katsina, Katsina‎, ‎Nigeria