Approximate Solutions of the Cauchy Problem for the Heat Equations
| dc.contributor.author | Agirseven, Deniz | |
| dc.date.accessioned | 2024-06-12T10:55:58Z | |
| dc.date.available | 2024-06-12T10:55:58Z | |
| dc.date.issued | 2012 | |
| dc.department | Trakya Üniversitesi | en_US |
| dc.description | 1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEY | en_US |
| dc.description.abstract | Homotopy Analysis Method (HAM) [1-2] is applied to the problem of the one-dimensional heat equations with a non-linear heat source subject to the temperature and the heat flux given at a single boundary to obtain the analytical solutions. Solutions obtained take an important place for one-dimensional heat flow as applied to a few regular geometries such as slabs, cylinders and spheres. Some of the test problems are presented to show the efficiency of HAM. | en_US |
| dc.description.sponsorship | Sci & Technol Res Council Turkey (TUBITAK),Gumushane Univ,Fatih Univ | en_US |
| dc.identifier.doi | 10.1063/1.4747651 | |
| dc.identifier.endpage | 109 | en_US |
| dc.identifier.isbn | 978-0-7354-1077-0 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.scopus | 2-s2.0-84873269028 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.startpage | 106 | en_US |
| dc.identifier.uri | https://doi.org/10.1063/1.4747651 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14551/19614 | |
| dc.identifier.volume | 1470 | en_US |
| dc.identifier.wos | WOS:000309524400027 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Inst Physics | en_US |
| dc.relation.ispartof | First International Conference On Analysis And Applied Mathematics (Icaam 2012) | en_US |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Cauchy Problem | en_US |
| dc.subject | Heat Equation | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Perturbation Method | en_US |
| dc.subject | Algorithm | en_US |
| dc.title | Approximate Solutions of the Cauchy Problem for the Heat Equations | en_US |
| dc.type | Conference Object | en_US |
