A derivative-free root-finding algorithm usingexponential method and its implementation

[摘要] ObjectiveIn 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.ResultsSeveral 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.

[发布日期] 2023-10-04

[关键词] Iterative algorithms;Nonlinear equations;Exponential method;Algorithm implementation;Root-finding algorithms;65H04;65Hxx