Work

Simpson’s Three-eighths Approach for Computing Solutions of Absolute Value Equations Numerically

Year: 2025

Type: article

Abstract: In this study, we propose a two-step iterative procedure for solving absolute value equations. The method includes Simpson's Three-Eighths formula with five points as a corrector step and generalized Newton's approach as a predictor step. For solving large systems, this method is very effective because it is very simple. Moreover, we show the convergence analysis under certain conditions using different theorems. We conducted numerical experiments to examine the efficiency of the presented technique.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240179

Authors: Nisar Gul, Haibo Chen, Rasool Shah, Amjid Ali

Institutions: Central South University, Lebanese American University, Kohat University of Science and Technology

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533815

FWCI: 1.071

Cites:

Cited by: 1

Related to: 10