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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Detalles Bibliográficos
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
Descripción
Sumario: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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