数学
价值(数学)
应用数学
迭代法
绝对(哲学)
数学优化
数学分析
统计
认识论
哲学
作者
Ahsan Mehmood Khan,Javed Iqbal,Rasool Shah
出处
期刊:Engineering Computations
[Emerald (MCB UP)]
日期:2024-05-02
标识
DOI:10.1108/ec-11-2023-0781
摘要
Purpose This study presents a two-step numerical iteration method specifically designed to solve absolute value equations. The proposed method is valuable and efficient for solving absolute value equations. Several numerical examples were taken to demonstrate the accuracy and efficiency of the proposed method. Design/methodology/approach We present a two-step numerical iteration method for solving absolute value equations. Our two-step method consists of a predictor-corrector technique. The new method uses the generalized Newton method as the predictor step. The four-point open Newton-Cotes formula is considered the corrector step. The convergence of the proposed method is discussed in detail. This new method is highly effective for solving large systems due to its simplicity and effectiveness. We consider the beam equation, using the finite difference method to transform it into a system of absolute value equations, and then solve it using the proposed method. Findings The paper provides empirical insights into how to solve a system of absolute value equations. Originality/value This paper fulfills an identified need to study absolute value equations.
科研通智能强力驱动
Strongly Powered by AbleSci AI