A Newton-type technique for solving absolute value equations
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson's method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical out-comes show the efficiency of our technique. We add the concluding remarks at the end of this paper. (c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).
Açıklama
Anahtar Kelimeler
Iterative technique, Absolute value equation, Convergence, Numerical examples
Kaynak
Alexandria Engineering Journal
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
64
