Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition
dc.contributor.author | Agirseven, Deniz | |
dc.date.accessioned | 2024-06-12T11:18:43Z | |
dc.date.available | 2024-06-12T11:18:43Z | |
dc.date.issued | 2012 | |
dc.department | Trakya Üniversitesi | en_US |
dc.description.abstract | Finite 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.sponsorship | Trakya University Scientific Research Projects Unit [2010-91] | en_US |
dc.description.sponsorship | This 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.doi | 10.1155/2012/682752 | |
dc.identifier.issn | 1085-3375 | |
dc.identifier.issn | 1687-0409 | |
dc.identifier.scopus | 2-s2.0-84863673503 | en_US |
dc.identifier.scopusquality | Q4 | en_US |
dc.identifier.uri | https://doi.org/10.1155/2012/682752 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14551/24935 | |
dc.identifier.wos | WOS:000305610500001 | en_US |
dc.identifier.wosquality | Q1 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Hindawi Ltd | en_US |
dc.relation.ispartof | Abstract And Applied Analysis | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Differential Equations | en_US |
dc.subject | Stability Properties | en_US |
dc.subject | Numerical-Methods | en_US |
dc.subject | Time | en_US |
dc.subject | Schemes | en_US |
dc.title | Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition | en_US |
dc.type | Article | en_US |