What type of study is this?

This is a Literature Review study.

September 10, 2025

A Numerical Perspective on Solving Non-Linear Equations: Newton Vs. Bisection

Puntos clave

Newton's method demonstrates superior speed and precision in convergence to the roots of non-linear equations.
Bisection method guarantees convergence to the root, displaying reliability despite its slower pace compared to Newton's method.
Numerical methods were reviewed using graphs and tables to effectively compare the two approaches in solving non-linear equations.
The analysis emphasizes the procedural differences in numerical methods for solving equations, aiding in their practical applications.

Resumen

The purpose of this paper is to review the methods of solving non-linear equations and compare them for their procedure and suitableness for solving. The study reviewed two of methods Newton’s method and Bisection method from various methods to solving nonlinear equations. The table and graphs were used to compare them and found that Newton method is measured the best due to its speedy and precise convergence to the roots. On the other hand, the Bisection method, though slower in reaching the roots compared to the Newton method, ensures convergence to the root regardless of the number of iterations.

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