Determination of an Unknown Heat Source From Integral Overdetermination Condition
| dc.contributor.author | Baglan, İrem Sakınç | |
| dc.contributor.author | Kanca, Fatma | |
| dc.contributor.author | Mishra, Vishnu Narayan | |
| dc.date.accessioned | 2019-06-27T08:04:11Z | |
| dc.date.available | 2019-06-27T08:04:11Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this research we consider a coefficient problem of an inverse problem of a quasilinear parabolic equation with periodic boundary and integral over determination conditions. We prove the existence uniqueness and continuously dependence upon the data of the solution by iteration method. Also we consider numerical solution for this inverse problem using linearization and finite difference method is proved. | en_US] |
| dc.identifier.doi | 10.1007/s40995-017-0454-z | en_US |
| dc.identifier.issn | 1028-6276 | en_US |
| dc.identifier.issn | 2364-1819 | en_US |
| dc.identifier.issn | 1028-6276 | |
| dc.identifier.issn | 2364-1819 | |
| dc.identifier.scopus | 2-s2.0-85051136838 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12469/903 | |
| dc.identifier.uri | https://doi.org/10.1007/s40995-017-0454-z | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.ispartof | Iranian Journal of Science and Technology, Transactions A: Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Quasilinear parabolic equation | en_US |
| dc.subject | Inverse problem | en_US |
| dc.subject | Periodic boundary condition | en_US |
| dc.subject | Finite difference method | en_US |
| dc.subject | Integral overdetermination condition | en_US |
| dc.title | Determination of an Unknown Heat Source From Integral Overdetermination Condition | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Kanca, Fatma | en_US |
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| gdc.description.department | Fakülteler, İşletme Fakültesi, Yönetim Bilişim Sistemleri Bölümü | en_US |
| gdc.description.endpage | 1382 | |
| gdc.description.issue | A3 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1373 | en_US |
| gdc.description.volume | 42 | en_US |
| gdc.identifier.openalex | W2780740263 | |
| gdc.identifier.wos | WOS:000440738200042 | en_US |
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| gdc.oaire.keywords | Quasilinear parabolic equation | |
| gdc.oaire.keywords | Inverse problem | |
| gdc.oaire.keywords | Finite difference method | |
| gdc.oaire.keywords | Periodic boundary condition | |
| gdc.oaire.keywords | Integral overdetermination condition | |
| gdc.oaire.keywords | quasilinear parabolic equation | |
| gdc.oaire.keywords | Heat equation | |
| gdc.oaire.keywords | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Initial-boundary value problems for second-order parabolic equations | |
| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | integral overdetermination condition | |
| gdc.oaire.keywords | inverse problem | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian | |
| gdc.oaire.keywords | finite difference method | |
| gdc.oaire.keywords | periodic boundary condition | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
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| gdc.relation.journal | Iranian Journal of Science and Technology, Transactions A: Science | |
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