A Newton-type technique for solving absolute value equations

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dc.authoridVIJAYAKUMAR, Dr. VELUSAMY/0000-0001-5976-5794
dc.contributor.authorKhan, Alamgir
dc.contributor.authorIqbal, Javed
dc.contributor.authorAkgul, Ali
dc.contributor.authorAli, Rashid
dc.contributor.authorDu, Yuting
dc.contributor.authorHussain, Arafat
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.date.accessioned2024-12-24T19:25:13Z
dc.date.available2024-12-24T19:25:13Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe 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/).
dc.identifier.doi10.1016/j.aej.2022.08.052
dc.identifier.endpage296
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85137554937
dc.identifier.scopusqualityQ1
dc.identifier.startpage291
dc.identifier.urihttps://doi.org/10.1016/j.aej.2022.08.052
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6322
dc.identifier.volume64
dc.identifier.wosWOS:000921490500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectIterative technique
dc.subjectAbsolute value equation
dc.subjectConvergence
dc.subjectNumerical examples
dc.titleA Newton-type technique for solving absolute value equations
dc.typeArticle

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