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A Derivative-free Root-finding Algorithm using Exponential Method and Its Implementation

Publication Type : Journal Article

Publisher : BMC Research Notes

Source : BMC Research Notes, (2023) 16:276

Url : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10583328/#:~:text=Using%20exponential%20method%20(3)%2C,f%20%E2%80%B2%20(%20y%20n%20)%20.&text=One%20can%20observe%20that%2C%20this,a%20given%20non%2Dlinear%20equations.

Campus : Amaravati

School : School of Engineering

Department : Mathematics

Year : 2023

Abstract : Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. Results Several numerical examples are presented to illustrate and validation of the proposed methods. Microsoft Excel and Maple implementation of the proposed algorithm is presented with sample computations.

Cite this Research Publication : S. Thota, M.M. Awad, P. Shanmugasundaram: "A Derivative-free Root-finding Algorithm using Exponential Method and Its Implementation", BMC Research Notes, (2023) 16:276. https://doi.org/10.1186/s13104-023-06554-1

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