A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique-Reference-Cited by-同舟云学术

A three step seventh order iterative method for solution nonlinear equation using Lagrange interpolation technique

Published:2024-03-13 Issue:1 Volume:12 Page:46-59
ISSN:2309-0022
Container-title:VFAST Transactions on Mathematics
language:
Short-container-title:VFAST trans. math.

Author:

Jamali Sanaullah^ORCID,Lakho Fareed Ahmed,Kalhoro Zubair Ahmed,Shaikh Abdul Wasim,Guan Jinrui^ORCID

Abstract

This research paper comprehensively presents the derivation of a seventh-order iteration scheme designed to obtain simple roots of nonlinear equations through the utilization of Lagrange interpolation technique. The scheme is characterized by the requirement for three function evaluations and one evaluation of the first derivative in each iteration. A detailed convergence analysis is also carried out to assess the efficacy of the proposed method. Additionally, the paper includes comprehensive numerical experiments aimed at confirming the theoretical results and illustrating the competitive performance of the derived iteration scheme.

Publisher

VFAST Research Platform

Reference24 articles.

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