dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Bugajev, Andrej | |
dc.date.accessioned | 2023-09-18T19:08:20Z | |
dc.date.available | 2023-09-18T19:08:20Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1392-5113 | |
dc.identifier.other | (BIS)VGT02-000024675 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/135880 | |
dc.description.abstract | This paper presents finite difference approximations of one dimensional in space mathematical model of a bacterial self-organization. The dynamics of such nonlinear systems can lead to formation of complicated solution patterns. In this paper we show that this chemotaxisdriven instability can be connected to the ill-posed problem defined by the backward in time diffusion process. The method of lines is used to construct robust numerical approximations. At the first step we approximate spatial derivatives in the PDE by applying approximations targeted for special physical processes described by differential equations. The obtained system of ODE is split into a system describing separately fast and slow physical processes and different implicit and explicit numerical solvers are constructed for each subproblem. Results of numerical experiments are presented and convergence of finite difference schemes is investigated. | eng |
dc.format | PDF | |
dc.format.extent | p. 253-270 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Scopus | |
dc.relation.isreferencedby | MathSciNet | |
dc.relation.isreferencedby | Index Copernicus | |
dc.relation.isreferencedby | Chemical abstracts | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
dc.source.uri | https://doi.org/10.15388/NA.17.3.14054 | |
dc.title | Numerical approximation of one model of bacterial self-organization | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 29 | |
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.researchfield | T 007 - Informatikos inžinerija / Informatics engineering | |
dc.subject.en | Finite difference method | |
dc.subject.en | Diffusion-advection-reaction models | |
dc.subject.en | Splitting schemes | |
dc.subject.en | Stability | |
dc.subject.en | Convergence | |
dc.subject.en | Backward-time parabolic problem | |
dcterms.sourcetitle | Nonlinear analysis : modelling and control | |
dc.description.issue | no.3 | |
dc.description.volume | Vol. 17 | |
dc.publisher.name | Institute of Mathematics and Informatics | |
dc.publisher.city | Vilnius | |
dc.identifier.doi | 000309691600001 | |
dc.identifier.doi | 10.15388/NA.17.3.14054 | |
dc.identifier.elaba | 3983830 | |