DIFERENCIJSKE SHEME ZA RESAVANJE JEDNAČINE SUBDIFUZIJE

eBiblioteka

 
 

DIFERENCIJSKE SHEME ZA RESAVANJE JEDNAČINE SUBDIFUZIJE

Show simple item record

dc.contributor.advisor Jovanović, Boško
dc.contributor.author Hodžić, Sandra
dc.date.accessioned 2017-04-24T14:49:58Z
dc.date.available 2017-04-24T14:49:58Z
dc.date.issued 2016
dc.identifier.uri http://hdl.handle.net/123456789/4455
dc.description.abstract In recent years there has been increasing interest in modeling the physical and chemical processes with equations involving fractional derivatives and integrals. One of such equations is the subdi usion equation which is obtained from the di usion equation by replacing the classical rst order time derivative by a fractional derivative of order with 0 < < 1: The subject of this dissertation is the initial-boundary value problem for the subdi usion equation and its approximation by nite di erences. At the beginning, the one-dimensional equation is observed. The existence and the uniqueness of weak solution is proved. The stability and the convergence rate estimates for implicite and the weighted scheme are obtained. The main focus is on two-dimensional subdi usion problem with Laplace operator as well as problem with general second-order partial di erential operator. It is assumed that the coe cients of the di erential operator satisfy standard ellipticity conditions that guarantees existence of solution in appropriate spaces of Sobolev type. In that case, apart from above mensoned, we constructed the additive and the factorized di erence schemes. We investigated their stability and convergence rate depending on the smoothness of the input data and of generalized solution. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2017-04-24T14:49:58Z No. of bitstreams: 1 Disertacija_Sandra_Hodzic.pdf: 913277 bytes, checksum: 8e89a1089cc9bb35e31240fa0c62ec55 (MD5) en
dc.description.provenance Made available in DSpace on 2017-04-24T14:49:58Z (GMT). No. of bitstreams: 1 Disertacija_Sandra_Hodzic.pdf: 913277 bytes, checksum: 8e89a1089cc9bb35e31240fa0c62ec55 (MD5) Previous issue date: 2016 en
dc.language.iso sr en_US
dc.publisher Beograd en_US
dc.title DIFERENCIJSKE SHEME ZA RESAVANJE JEDNAČINE SUBDIFUZIJE en_US
mf.author.birth-date 1987-08-27
mf.author.birth-place Novi Pazar en_US
mf.author.birth-country Srbija en_US
mf.author.residence-state Srbija en_US
mf.author.citizenship Srpsko en_US
mf.author.nationality Srpkinja en_US
mf.subject.area Mathematics en_US
mf.subject.keywords subdi usion equation, fractional derivative, nite di erences, di erence scheme, a priori estimate, stability, convergence rate en_US
mf.subject.subarea Numerical mathematics en_US
mf.contributor.committee Jovanović, Boško
mf.contributor.committee Takači, Arpad
mf.contributor.committee Dražić, Milan
mf.university.faculty Mathematical Faculty en_US
mf.document.references 54 en_US
mf.document.pages 103 en_US
mf.document.location Beograd en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

Files in this item

Files Size Format View
Disertacija_Sandra_Hodzic.pdf 913.2Kb PDF View/Open

This item appears in the following Collection(s)

Show simple item record