A New Three-Step Modification of a Fifth-Order Iterative Method with Weight Functions for Solving Nonlinear Equations

https://doi.org/10.65770/AZRP8354 ABSTRACT Solving nonlinear equations is a fundamental problem in numerical analysis, as analytical solutions are generally unattainable for most practical cases. While multipoint iterative methods incorporating weight functions have proven effective in achieving higher convergence orders without additional derivative evaluations, existing methods such as the…