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A New Hybrid Root-Finding Algorithm to Solve Transcendental Equations Using arcsine Function

Publication Type : Journal Article

Publisher : Information Sciences Letters

Source : Accepted by Information Sciences Letters (2023).

Url : https://digitalcommons.aaru.edu.jo/cgi/viewcontent.cgi?article=1953&context=isl

Keywords : Root-finding algorithm, arcsine function, Transcendental equations, Maple

Campus : Amaravati

School : School of Physical Sciences

Department : Mathematics

Year : 2023

Abstract : The objective of this paper is to propose a new hybrid root finding algorithms for solving non-linear equations (NLEs) or transcendental equations (TEs). The proposed algorithm is based on the trigonometrical algorithm using arcsine function to find a root. Several numerical examples are presented to illustrate the proposed algorithms, and comparisons are presented with other existing methods to show efficiency and accuracy. Implementation of the proposed algorithms is presented in a mathematical software tool Maple.

Cite this Research Publication : S.Thota, P. Shanmugasundaram: A New Hybrid Root-Finding Algorithm to Solve Transcendental Equations Using arcsine Function, Accepted by Information Sciences Letters (2023).

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