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On New Sixth and Seventh Order Iterative Methods for Solving Non-Linear Equations Using Homotopy Perturbation Technique

Publication Type : Journal Article

Publisher : BMC Research Notes

Source : BMC Research Notes (2022) 15:267

Url : https://bmcresnotes.biomedcentral.com/articles/10.1186/s13104-022-06154-5

Campus : Amaravati

School : School of Physical Sciences

Department : Chemistry

Year : 2022

Abstract : 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.

Cite this Research Publication : S. Thota, P. Shanmugasundaram: On New Sixth and Seventh Order Iterative Methods for Solving Non-Linear Equations Using Homotopy Perturbation Technique, BMC Research Notes (2022) 15:267. https://doi.org/10.1186/s13104-022-06154-5

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