This paper presents a three-step numerical root-finding algorithm using the exponential method to compute an approximate root of transcendental or nonlinear equations. The main scheme of the proposed algorithm depends on the predictor-corrector method, which was developed by Traub. The proposed algorithm is competent, simple, and convergent faster than the other available methods. A couple of examples are discussed to explain the method. Maple and Microsoft Excel implementations are discussed with sample computations. With the help of this algorithm, one can extend the implementation to MATLAB, Mathematica, NCAlgebra, Scilab, etc.

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A New Numerical Algorithm to Compute a Root of Non-linear Equations Using Exponential Method

  • Srinivasarao Thota,
  • Abayomi Ayotunde Ayoade

摘要

This paper presents a three-step numerical root-finding algorithm using the exponential method to compute an approximate root of transcendental or nonlinear equations. The main scheme of the proposed algorithm depends on the predictor-corrector method, which was developed by Traub. The proposed algorithm is competent, simple, and convergent faster than the other available methods. A couple of examples are discussed to explain the method. Maple and Microsoft Excel implementations are discussed with sample computations. With the help of this algorithm, one can extend the implementation to MATLAB, Mathematica, NCAlgebra, Scilab, etc.