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M-matrices and convergence of finite difference scheme for parabolic equation with an integral boundary condition

dc.contributor.authorČiupaila, Regimantas
dc.contributor.authorSapagovas, Mifodijus
dc.contributor.authorPupalaigė, Kristina
dc.date.accessioned2023-09-18T20:20:41Z
dc.date.available2023-09-18T20:20:41Z
dc.date.issued2020
dc.identifier.issn1392-6292
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/149099
dc.description.abstractIn the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered. The proof is based on the properties of M-matrices, not requiring the symmetry or diagonal predominance of difference problem. The main presumption is that all the eigenvalues of the corresponding difference problem with nonlocal conditions are positive.eng
dc.formatPDF
dc.format.extentp. 167-183
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyICONDA
dc.relation.isreferencedbyINSPEC
dc.relation.isreferencedbyMatSciNet
dc.rightsLaisvai prieinamas internete
dc.source.urihttps://doi.org/10.3846/mma.2020.8023
dc.source.urihttps://talpykla.elaba.lt/elaba-fedora/objects/elaba:53620618/datastreams/MAIN/content
dc.titleM-matrices and convergence of finite difference scheme for parabolic equation with an integral boundary condition
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.licenseCreative Commons – Attribution – 4.0 International
dcterms.references38
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.institutionVilniaus universitetas
dc.contributor.institutionKauno technologijos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.vgtuprioritizedfieldsFM0101 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes
dc.subject.ltspecializationsL104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies
dc.subject.enfinite difference method
dc.subject.ennonlocal boundary condition
dc.subject.enconvergence
dc.subject.enM-matrices
dcterms.sourcetitleMathematical modelling and analysis
dc.description.issueiss. 2
dc.description.volumevol. 25
dc.publisher.nameVGTU Press
dc.publisher.cityVilnius
dc.identifier.doi2-s2.0-85082444001
dc.identifier.doi000520861700001
dc.identifier.doi10.3846/mma.2020.8023
dc.identifier.elaba53620618


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