New Properties of 9-Point Finite Difference Solution of the Laplace Equation

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dc.contributor.authorDosiyev, Adiguzel A.
dc.date.accessioned2026-02-06T18:34:00Z
dc.date.issued2011
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractTwo new properties of the 9-point finite difference solution of the Laplace equation are obtained, when the boundary functions are given from C (5,1). It is shown that the maximum error is of order O (h6 (vertical bar ln h vertical bar +1)), and this order cannot be obtained for the class of boundary functions from C (5,lambda), 0 < lambda < 1. These properties of the 9-point solution can be used to justify different versions of domain decomposition, composite grids, and combined methods.
dc.description.sponsorshipMinistry of National Education and Culture of TRNC [MEKB-09-03]
dc.description.sponsorshipThis work was supported by the Ministry of National Education and Culture of TRNC under Project MEKB-09-03.
dc.identifier.doi10.1007/s00009-010-0086-4
dc.identifier.endpage462
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue3
dc.identifier.orcid0000-0001-9154-8116
dc.identifier.scopus2-s2.0-80051550102
dc.identifier.scopusqualityQ2
dc.identifier.startpage451
dc.identifier.urihttps://doi.org/10.1007/s00009-010-0086-4
dc.identifier.urihttps://hdl.handle.net/11129/11576
dc.identifier.volume8
dc.identifier.wosWOS:000293792700012
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofMediterranean Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectFinite difference method
dc.subjectnonsmooth solutions
dc.subjectuniform error
dc.subjectestimation below
dc.titleNew Properties of 9-Point Finite Difference Solution of the Laplace Equation
dc.typeArticle

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