Year: 2025
Type: article
Abstract: This paper introduces two iterative methods for obtaining numerical solutions to nonlinear equations.The proposed methods achieve convergence orders of nine and twelve, respectively. A detailed convergence analysis confirms their superior efficiency indices compared to several existing techniques. Numerical examples are presented to illustrate the performance and to validate the theoretical convergence orders of the proposed methods.
Author: Hassan M. S. Bawazir
Institution: Seiyun University
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411335125