dc.contributor.author | Dapšys, Ignas | |
dc.contributor.author | Čiegis, Raimondas | |
dc.date.accessioned | 2023-09-18T20:51:49Z | |
dc.date.available | 2023-09-18T20:51:49Z | |
dc.date.issued | 2023 | |
dc.identifier.issn | 1392-6292 | |
dc.identifier.other | (crossref_id)146140202 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/153221 | |
dc.description.abstract | The main aim of this paper is to propose new mathematical models for simulation of biosensors and to construct and investigate discrete methods for the efficient solution of the obtained systems of nonlinear PDEs. The classical linear diffusion operators are substituted with nonlocal fractional powers of elliptic operators. The splitting type finite volume scheme is used as a basic template for the introduction of new mathematical models. Therefore the accuracy of the splitting scheme is investigated and compared with the symmetric Crank-Nicolson scheme. The dependence of the approximation error on the regularity of the solution is investigated. Results of computational experiments for different values of fractional parameters are presented and analysed. | eng |
dc.format | PDF | |
dc.format.extent | p. 180-193 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.relation.isreferencedby | Scopus | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | ProQuest Central | |
dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
dc.source.uri | https://journals.vilniustech.lt/index.php/MMA/article/view/17583/11553 | |
dc.source.uri | https://talpykla.elaba.lt/elaba-fedora/objects/elaba:159426076/datastreams/COVER/content | |
dc.title | Numerical simulation of fractional power diffusion biosensors | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.accessRights | This is an Open Access article distributed under the terms of the Creative Commons AttributionLicense (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. | |
dcterms.license | Creative Commons – Attribution – 4.0 International | |
dcterms.references | 27 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.vgtuprioritizedfields | FM0101 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes | |
dc.subject.ltspecializations | L104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies | |
dc.subject.en | mathematical modelling | |
dc.subject.en | diffusion-reaction equations | |
dc.subject.en | fractional power of elliptic operators | |
dc.subject.en | finite volume schemes | |
dc.subject.en | splitting method | |
dc.subject.en | biosensors | |
dcterms.sourcetitle | Mathematical modelling and analysis | |
dc.description.issue | no. 2 | |
dc.description.volume | vol. 28 | |
dc.publisher.name | Vilnius Gediminas Technical University | |
dc.publisher.city | Vilnius | |
dc.identifier.doi | 146140202 | |
dc.identifier.doi | 000957075600001 | |
dc.identifier.doi | 10.3846/mma.2023.17583 | |
dc.identifier.elaba | 159426076 | |