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

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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.

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Review of numerical methods to solve non-linear equations highlights Newton's method is faster but Bisection ensures convergence.

Bhatt et al. (2024) studied this question.

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