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On stability analysis of finite difference schemes for generalized Kuramoto-Tsuzuki equation with nonlocal boundary conditions

dc.contributor.authorLeonavičienė, Teresė
dc.contributor.authorBugajev, Andrej
dc.contributor.authorJankevičiūtė, Gerda
dc.contributor.authorČiegis, Raimondas
dc.date.accessioned2023-09-18T16:42:41Z
dc.date.available2023-09-18T16:42:41Z
dc.date.issued2016
dc.identifier.issn1392-6292
dc.identifier.other(BIS)VGT02-000032610
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/116235
dc.description.abstractA general methodology for the stability analysis of discrete approximations of nonstationary PDEs is applied to solve the Kuramoto-Tsuzuki equation, including also the Schr¨odinger problem. Stability regions are constructed for the explicit, backward and symmetrical Euler schemes. The obtained results are applied to solve the Kuramoto-Tsuzuki problem with a non-local integral boundary condition. Results of computational experiments are provided.eng
dc.formatPDF
dc.format.extentp. 630-643
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyIndex Copernicus
dc.relation.isreferencedbyMathSciNet
dc.relation.isreferencedbyINSPEC
dc.relation.isreferencedbyICONDA
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyZentralblatt MATH (zbMATH)
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.source.urihttp://www.tandfonline.com/doi/abs/10.3846/13926292.2016.1198836
dc.subjectFM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes
dc.titleOn stability analysis of finite difference schemes for generalized Kuramoto-Tsuzuki equation with nonlocal boundary conditions
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.references29
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.ltspecializationsL102 - Energetika ir tvari aplinka / Energy and a sustainable environment
dc.subject.enFinite difference method
dc.subject.enStability analysis
dc.subject.enKuramoto-Tsuzuki equation
dc.subject.enNon-local boundary conditions
dcterms.sourcetitleMathematical modelling and analysis : the Baltic journal on mathematical applications, numerical analysis and differential equations
dc.description.issueno. 5
dc.description.volumeVol. 21
dc.publisher.nameTechnika
dc.publisher.cityVilnius
dc.identifier.doi000384286600003
dc.identifier.doi10.3846/13926292.2016.1198836
dc.identifier.elaba18306371


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