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Convergence of iterative methods for elliptic equations with integral boundary conditions

dc.contributor.authorSapagovas, Mifodijus
dc.contributor.authorŠtikonienė, Olga
dc.contributor.authorČiupaila, Regimantas
dc.contributor.authorJokšienė, Živilė
dc.date.accessioned2023-09-18T16:40:20Z
dc.date.available2023-09-18T16:40:20Z
dc.date.issued2016
dc.identifier.issn1072-6691
dc.identifier.other(BIS)VGT02-000032336
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/115795
dc.description.abstractIn this article, we consider the convergence of iterative method for the system of diference equations, approximating the elliptic two-dimensional equations with variable coe cients and integral boundary conditions. We investigate how convergence of iterative method depends on the structure of spectrum for diference operator with nonlocal conditions. The main goal of the paper is to analyze the influence of the monotonicity of the coefficient in the diferential equation to extension (or reduction) of the region of convergence.eng
dc.formatPDF
dc.format.extentp. 1-14
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.source.urihttps://ejde.math.txstate.edu/Volumes/2016/118/sapagovas.pdf
dc.subjectFM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes
dc.titleConvergence of iterative methods for elliptic equations with integral boundary conditions
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.references48
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionVilniaus universitetas
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.institutionLietuvos sveikatos mokslų universitetas Vytauto Didžiojo universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.ltspecializationsL104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies
dc.subject.enElliptic equation
dc.subject.enFinite-diference method
dc.subject.enIterative method
dc.subject.enIntegral boundary conditions
dc.subject.enEigenvalue problem
dc.subject.enRegion of convergence.
dcterms.sourcetitleElectronic journal of diferential equations
dc.description.issueno. 118
dc.description.volumevol. 2016
dc.publisher.nameTexas State University
dc.publisher.citySan Marcos
dc.identifier.doi000376985900001
dc.identifier.elaba17176396


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