Monte Carlo Implementation on Bisection and Regula Falsi Methods for Finding Multiple Roots of Polynomial and Exponential Equations

Hery Andi Sitompul; Kristian Tarigan; Dewi Sholeha

doi:10.59086/jti.v4i2.950

Authors

Hery Andi Sitompul Universitas Darma Agung
Kristian Tarigan Universitas Darma Agung
Dewi Sholeha Universitas Darma Agung

DOI:

https://doi.org/10.59086/jti.v4i2.950

Keywords:

Keywords: Bisection, Regula Falsi, Monte Carlo, Nonlinear Equations

Abstract

Nonlinear algorithms available in literature and developments carried out by scientists generally can only determine a single root of a nonlinear equation in a single calculation process. The development of the Bisection method and the Brent method can determine multiple roots of polynomial equations. By applying the Monte Carlo method principle to the Bisection and Regula Falsi methods, it is found that multiple roots of a nonlinear equation in polynomial form or a combination of polynomial and exponential equations can be accurately determined in a single calculation process.

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