A new three-step iterative method with high order of convergence for non-linear equations

Thongmoon, Montri

doi:10.28919/jmcs/5198

J. Math. Comput. Sci. 11 (2021), 688–702

A new three-step iterative method with high order of convergence for non-linear equations

Montri Thongmoon

PDF (137.9 KB) https://doi.org/10.28919/jmcs/5198

Abstract

This research presents new three-step iterative method with order of convergence at last seventh for solving nonlinear equations. Per iteration, the new method requires three functions and one first derivative evaluations. The efficiency index of this method is 7^1/4 ≈ 1.627. Numerical examples are given to illustrate the performance of the presented method and this is considered another method for solving nonlinear equations.

Published: 29 December 2020
Volume: 11 (2021)
License: CC BY 3.0

Copyright © 2020 Montri Thongmoon. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Thongmoon, A new three-step iterative method with high order of convergence for non-linear equations, J. Math. Comput. Sci. 11 (2021), 688–702. https://doi.org/10.28919/jmcs/5198

BibTeX

@article{Thongmoon2021,
  author  = {Thongmoon, Montri},
  title   = {A new three-step iterative method with high order of convergence for non-linear equations},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {688--702},
  doi     = {10.28919/jmcs/5198}
}