On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique

OBJECTIVES: This paper proposes three iterative methods of order three, six and seven respectively for solving non-linear equations using the modified homotopy perturbation technique coupled with system of equations. This paper also discusses the analysis of convergence of the proposed iterative met...

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Autores principales: Thota, Srinivasarao, Shanmugasundaram, P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2022
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9338542/
https://www.ncbi.nlm.nih.gov/pubmed/35907910
http://dx.doi.org/10.1186/s13104-022-06154-5
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author Thota, Srinivasarao
Shanmugasundaram, P.
author_facet Thota, Srinivasarao
Shanmugasundaram, P.
author_sort Thota, Srinivasarao
collection PubMed
description OBJECTIVES: This paper proposes three iterative methods of order three, six and seven respectively for solving non-linear equations using the modified homotopy perturbation technique coupled with system of equations. This paper also discusses the analysis of convergence of the proposed iterative methods. RESULTS: Several numerical examples are presented to illustrate and validation of the proposed methods. Implementation of the proposed methods in Maple is discussed with sample computations.
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spelling pubmed-93385422022-07-31 On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique Thota, Srinivasarao Shanmugasundaram, P. BMC Res Notes Research Note OBJECTIVES: This paper proposes three iterative methods of order three, six and seven respectively for solving non-linear equations using the modified homotopy perturbation technique coupled with system of equations. This paper also discusses the analysis of convergence of the proposed iterative methods. RESULTS: Several numerical examples are presented to illustrate and validation of the proposed methods. Implementation of the proposed methods in Maple is discussed with sample computations. BioMed Central 2022-07-30 /pmc/articles/PMC9338542/ /pubmed/35907910 http://dx.doi.org/10.1186/s13104-022-06154-5 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/ (https://creativecommons.org/publicdomain/zero/1.0/) ) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
spellingShingle Research Note
Thota, Srinivasarao
Shanmugasundaram, P.
On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
title On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
title_full On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
title_fullStr On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
title_full_unstemmed On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
title_short On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
title_sort on new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9338542/
https://www.ncbi.nlm.nih.gov/pubmed/35907910
http://dx.doi.org/10.1186/s13104-022-06154-5
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