Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition

dc.contributor.authorAgirseven, Deniz
dc.date.accessioned2024-06-12T11:18:43Z
dc.date.available2024-06-12T11:18:43Z
dc.date.issued2012
dc.departmentTrakya Üniversitesien_US
dc.description.abstractFinite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. The convergence estimates for the solution of first and second orders of difference schemes in Holder norms are obtained. A procedure of modified Gauss elimination method is used for the solution of these difference schemes. Homotopy analysis method is applied. Comparison of finite difference and homotopy analysis methods is given on the problem.en_US
dc.description.sponsorshipTrakya University Scientific Research Projects Unit [2010-91]en_US
dc.description.sponsorshipThis work is supported by Trakya University Scientific Research Projects Unit (Project number: 2010-91). The author is grateful to Professor Allaberen Ashyralyev (Fatih University, Turkey) for his valuable suggestions for the improvement of this paper.en_US
dc.identifier.doi10.1155/2012/682752
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.scopus2-s2.0-84863673503en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.urihttps://doi.org/10.1155/2012/682752
dc.identifier.urihttps://hdl.handle.net/20.500.14551/24935
dc.identifier.wosWOS:000305610500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofAbstract And Applied Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDifferential Equationsen_US
dc.subjectStability Propertiesen_US
dc.subjectNumerical-Methodsen_US
dc.subjectTimeen_US
dc.subjectSchemesen_US
dc.titleApproximate Solutions of Delay Parabolic Equations with the Dirichlet Conditionen_US
dc.typeArticleen_US

Dosyalar