Numerical Solution of Nonlinear Parabolic Type Equation in the Class of Generalized Functions with Degeneration

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dc.contributor.authorSinsoysal, Bahaddin
dc.contributor.authorBal, Hakan
dc.contributor.authorYilmaz, Kubra
dc.date.accessioned2024-03-13T10:30:23Z
dc.date.available2024-03-13T10:30:23Z
dc.date.issued2018
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA) -- AUG 15-17, 2017 -- Budapest, HUNGARYen_US
dc.description.abstractIn this paper, a method for obtaining the numerical solution of the first type initial boundary value problem for a second order degenerate parabolic equation is suggested. To this end, in accordance with the smoothness of the solution of the investigated problem, we introduce an auxiliary problem, as it has some advantages over the main problem, and is equivalent to the main problem in a definite sense. Using the introduced auxiliary problem, we write a more sensitive numerical scheme whose solution expresses all of the physical properties of the problem accurately. Moreover, using the auxiliary problem, we can write the higher order numerical schemes with respect to the time variable.en_US
dc.identifier.doi10.1063/1.5020491
dc.identifier.isbn978-0-7354-1618-5
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85040977396en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1063/1.5020491
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3319
dc.identifier.volume1926en_US
dc.identifier.wosWOS:000431625500042en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartof6th International Eurasian Conference On Mathematical Sciences And Applications (Iecmsa-2017)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleNumerical Solution of Nonlinear Parabolic Type Equation in the Class of Generalized Functions with Degenerationen_US
dc.typeConference Objecten_US

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