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Semi-implicit difference scheme for a two-dimensional parabolic equation with an integral boundary condition

dc.contributor.authorPupalaigė, Kristina
dc.contributor.authorČiupaila, Regimantas
dc.contributor.authorSapagovas, Mifodijus
dc.date.accessioned2023-09-18T16:59:54Z
dc.date.available2023-09-18T16:59:54Z
dc.date.issued2017
dc.identifier.issn1392-6292
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/118689
dc.description.abstractIn this paper, we consider a nite dierence method for a class of two-dimensional parabolic equations with integral boundary conditions. The semi-implicit dierence scheme is considered. The stability of dierence scheme is proved using the properties of the M-matrices, particularly, the regular splitting of an M-matrix. The numerical results of some examples are presented, that approve our theoretical investigations.eng
dc.formatPDF
dc.format.extentp. 617-633
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyDOAJ
dc.rightsLaisvai prieinamas internete
dc.source.urihttp://dx.doi.org/10.3846/13926292.2017.1342709
dc.source.urihttps://talpykla.elaba.lt/elaba-fedora/objects/elaba:24189011/datastreams/MAIN/content
dc.subjectFM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes
dc.titleSemi-implicit difference scheme for a two-dimensional parabolic equation with an integral boundary condition
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.accessRightsOpen Access, licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and reuse of the work for the benefit of scholarly information.
dcterms.references38
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionKauno technologijos universitetas
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.institutionVilniaus universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.researchfieldN 009 - Informatika / Computer science
dc.subject.ltspecializationsL106 - Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies
dc.subject.enintegral boundary condition
dc.subject.ensemi-implicit dierence scheme
dc.subject.enstability, M-matrix
dcterms.sourcetitleMathematical modelling and analysis
dc.description.issueiss. 5
dc.description.volumevol. 22
dc.publisher.nameTechnika
dc.publisher.cityVilnius
dc.identifier.doi2-s2.0-85029763302
dc.identifier.doi000411525000004
dc.identifier.doi1
dc.identifier.doi10.3846/13926292.2017.1342709
dc.identifier.elaba24189011


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