Two Different Methods for Numerical Solution of the Modified Burgers' Equation

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dc.authoridBaşhan, Ali/0000-0001-8500-493X
dc.authoridKarakoc, Seydi Battal Gazi/0000-0002-2348-4170;
dc.authorwosidBaşhan, Ali/R-6644-2018
dc.authorwosidKarakoc, Seydi Battal Gazi/AFB-6984-2022
dc.authorwosidKarakoc, Seydi/ABH-7571-2020
dc.contributor.authorKarakoc, Seydi Battal Gazi
dc.contributor.authorBashan, Ali
dc.contributor.authorGeyikli, Turabi
dc.date.accessioned2024-08-04T20:39:40Z
dc.date.available2024-08-04T20:39:40Z
dc.date.issued2014
dc.departmentİnönü Üniversitesien_US
dc.description.abstractA numerical solution of the modified Burgers' equation (MBE) is obtained by using quartic B-spline subdomain finite element method (SFEM) over which the nonlinear term is locally linearized and using quartic B-spline differential quadrature (QBDQM) method. The accuracy and efficiency of the methods are discussed by computing L-2 and L-infinity error norms. Comparisons are made with those of some earlier papers. The obtained numerical results show that the methods are effective numerical schemes to solve the MBE. A linear stability analysis, based on the von Neumann scheme, shows the SFEM is unconditionally stable. A rate of convergence analysis is also given for the DQM.en_US
dc.identifier.doi10.1155/2014/780269
dc.identifier.issn1537-744X
dc.identifier.pmid25162064en_US
dc.identifier.scopus2-s2.0-84899427303en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1155/2014/780269
dc.identifier.urihttps://hdl.handle.net/11616/96424
dc.identifier.wosWOS:000334229000001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofScientific World Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQuadrature Methoden_US
dc.subjectB-Splinesen_US
dc.titleTwo Different Methods for Numerical Solution of the Modified Burgers' Equationen_US
dc.typeArticleen_US

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