Rodyti trumpą aprašą

dc.contributor.authorČiegis, Raimondas
dc.contributor.authorČiegis, Remigijus
dc.contributor.authorDapšys, Ignas
dc.date.accessioned2023-09-18T20:44:46Z
dc.date.available2023-09-18T20:44:46Z
dc.date.issued2021
dc.identifier.issn2227-7390
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/152280
dc.description.abstractThe main aim of this article is to analyze the efficiency of general solvers for parabolic problems with fractional power elliptic operators. Such discrete schemes can be used in the cases of non-constant elliptic operators, non-uniform space meshes and general space domains. The stability results are proved for all algorithms and the accuracy of obtained approximations is estimated by solving well-known test problems. A modification of the second order splitting scheme is presented, it combines the splitting method to solve locally the nonlinear subproblem and the AAA algorithm to solve the nonlocal diffusion subproblem. Results of computational experiments are presented and analyzed.eng
dc.formatPDF
dc.format.extentp. 1-18
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyDOAJ
dc.relation.isreferencedbyJ-Gate
dc.relation.isreferencedbyGale's Academic OneFile
dc.rightsLaisvai prieinamas internete
dc.source.urihttps://www.mdpi.com/2227-7390/9/12/1344
dc.source.urihttps://talpykla.elaba.lt/elaba-fedora/objects/elaba:97177389/datastreams/MAIN/content
dc.titleA comparison of discrete schemes for numerical solution of parabolic problems with fractional power elliptic operators
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.accessRightsThis article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/)
dcterms.licenseCreative Commons – Attribution – 4.0 International
dcterms.references45
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.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.ltspecializationsL106 - Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies
dc.subject.enfractional power elliptic operators
dc.subject.enparabolic equations
dc.subject.ennonlinear diffusion-reaction
dc.subject.endiscrete schemes
dc.subject.ensplitting methods
dc.subject.enstability
dcterms.sourcetitleMathematics: Section Computational and Applied Mathematics
dc.description.issueiss. 12
dc.description.volumevol. 9
dc.publisher.nameMDPI
dc.publisher.cityBasel
dc.identifier.doi000667913500001
dc.identifier.doi10.3390/math9121344
dc.identifier.elaba97177389


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