A New Efficient Method for Absolute Value Equations

被引：1

作者：

Guo, Peng ^{[1
]}

Iqbal, Javed ^{[2
]}

Ghufran, Syed Muhammad ^{[2
]}

Arif, Muhammad ^{[2
]}

Alhefthi, Reem K. ^{[3
]}

Shi, Lei ^{[1
]}

机构：

[1] Anyang Normal Univ, Sch Math & Stat, Anyan 455002, Peoples R China

[2] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan

[3] King Saud Univ, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 15期

关键词：

absolute value equations; Newton-Cotes open formula; convergence analysis; numerical results; beam equation; ITERATION METHOD; MODEL;

D O I：

10.3390/math11153356

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the two-step method is considered with the generalized Newton method as a predictor step. The three-point Newton-Cotes formula is taken as a corrector step. The proposed method's convergence is discussed in detail. This method is very simple and therefore very effective for solving large systems. In numerical analysis, we consider a beam equation, transform it into a system of absolute value equations and then use the proposed method to solve it. Numerical experiments show that our method is very accurate and faster than already existing methods.

引用

页数：9

共 26 条

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