Reduced approximation for opirator with time in parabolic problems case

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dc.contributor.authorBerkane, Ali
dc.contributor.authorBelhout, Mohammed
dc.date.accessioned2024-07-12T20:49:07Z
dc.date.available2024-07-12T20:49:07Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis work is devoted to singular perturbation of the parabolic equation with discontinuous coeffcients for the time operator. For P1-P0 finite element, by using a reduction of the approximation order for the time differential operator, we propose a numerical method which does not have any oscillations in the neighborhood of the coefficient discontinuity. Error estimates of order tow with respect to space are provided, and we have compared this method with the modified second member method (T.T. Cuc Bui, 2008). Euler explicit and implicit time schemes are proposed, and by considering a toy problem, the order one and tow of convergence with respect to time and space is checked.en_US
dc.identifier.citationBerkane, A. ve Belhout, M. (2019). Reduced approximation for opirator with time in parabolic problems case. International Conference of Mathematical Sciences (ICMS 2019). s. 32.en_US
dc.identifier.endpage32en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage32en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2123
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01486
dc.subjectSingular mass matrixen_US
dc.subjectError estimatesen_US
dc.subjectDegenerate operatoren_US
dc.titleReduced approximation for opirator with time in parabolic problems caseen_US
dc.typeArticle
dspace.entity.typePublication

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