Fifth and Eleventh-Order Iterative Methods for Roots of Nonlinear Equations

Authors

Hassan Mohammed Bawazir, Faculty of Education, Seiyun University

Abstract

In this work, two iterative methods, based on Newton’s method, to obtain the numerical solutions of nonlinear equations have been constructed. We proved that our methods converge in fifth and eleventh orders. Analytical investigation has been established to show that our schemes have higher efficiency indexes than some recent methods. Numerical examples are experimented to investigate the performance of the proposed schemes. Moreover, the theoretical order of convergence is verified in the experiment work.

Recommended Citation

Bawazir, Hassan Mohammed (2020) "Fifth and Eleventh-Order Iterative Methods for Roots of Nonlinear Equations," Hadhramout University Journal of Natural & Applied Sciences: Vol. 17: Iss. 2, Article 6.
Available at: https://digitalcommons.aaru.edu.jo/huj_nas/vol17/iss2/6