AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (238.7 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Some new numerical schemes for finding the solutions to nonlinear equations

Awais Gul Khan1, Farah Ameen1, Muhammad Uzair Awan1, Kamsing Nonlaopon2( )
Department of Mathematics, Government College University, Faisalabad 38023, Pakistan
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Show Author Information

Abstract

We introduce a sequence of third and fourth-order iterative schemes for finding the roots of nonlinear equations by using the decomposition technique and Simpson's one-third rule. We also discuss the convergence analysis of our suggested iterative schemes. With the help of different numerical examples, we demonstrate the validity, efficiency and implementation of our proposed schemes.

Keywords

convergence analysisiterative methoddecomposition techniqueSimpson's one-third rule
CLC number: 49J40, 90C33

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 18616-18631
DOI: 10.3934/math.20221024

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Khan AG, Ameen F, Awan MU, et al. Some new numerical schemes for finding the solutions to nonlinear equations. AIMS Mathematics, 2022, 7(10): 18616-18631. https://doi.org/10.3934/math.20221024

50

Views

0

Downloads

3

Crossref

3

Web of Science

4

Scopus
Received: 22 June 2022
Revised: 31 July 2022
Accepted: 03 August 2022
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)