A derivative-free root-finding algorithm using exponential method and its implementation

Abstract

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.

Keywords

• Iterative algorithms
• Nonlinear equations
• Exponential method
• Algorithm implementation
• Root-finding algorithms