Cubic B-spline collocation method for solving time fractional gas dynamics equation

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.contributor.authorEsen, A.
dc.contributor.authorTasbozan, O.
dc.date.accessioned2024-08-04T20:57:34Z
dc.date.available2024-08-04T20:57:34Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractTo the present manuscript, a cubic B-spline finite element collocation method has been used to obtain numerical solutions of the nonlinear time fractional gas dynamics equation. While the Caputo form is used for the time fractional derivative appearing in the equation, the L1 discretization formula is applied to the equation in terms of time. It has been seen that the results of the present study are in agreement with the those of exact solution. Therefore, the present method can be used as an alternative and efficient one to find out the numerical solutions of both linear and nonlinear fractional differential equations available in the literature. In order to control the accuracy and efficiency of the present method, the error norms L-2, and L-infinity have been calculated. It is evident that, the newly obtained numerical solutions by the present method can he computed easily with the implementation and effectiveness of the approach used in the article.en_US
dc.identifier.doi10.1515/tmj-2015-0024
dc.identifier.endpage231en_US
dc.identifier.issn1512-0139
dc.identifier.issue2en_US
dc.identifier.startpage221en_US
dc.identifier.urihttps://doi.org/10.1515/tmj-2015-0024
dc.identifier.urihttps://hdl.handle.net/11616/102734
dc.identifier.volume8en_US
dc.identifier.wosWOS:000219434000019en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherDe Gruyter Open Ltden_US
dc.relation.ispartofTbilisi Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFinite element methoen_US
dc.subjectcollocationen_US
dc.subjecttime fractional gas dynamics equationen_US
dc.subjectcubic B-splineen_US
dc.titleCubic B-spline collocation method for solving time fractional gas dynamics equationen_US
dc.typeArticleen_US

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