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A New Efficient Method for Absolute Value Equations.
- Source :
-
Mathematics (2227-7390) . Aug2023, Vol. 11 Issue 15, p3356. 9p. - Publication Year :
- 2023
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ABSOLUTE value
*NEWTON-Raphson method
*NUMERICAL analysis
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 169909986
- Full Text :
- https://doi.org/10.3390/math11153356