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An approximate analytical solution of the Navier–Stokes equations within Caputo operator and Elzaki transform decomposition method

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dc.contributor.author Hajira
dc.contributor.author Khan, Hassan
dc.contributor.author Khan, Adnan
dc.contributor.author Kumam, Poom
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Arif, Muhammad
dc.date.accessioned 2024-02-28T12:15:15Z
dc.date.available 2024-02-28T12:15:15Z
dc.date.issued 2020-12-01
dc.identifier.citation Khan, Hassan;...et.al. "An approximate analytical solution of the Navier–Stokes equations within Caputo operator and Elzaki transform decomposition method", Advances in Difference Equations, Vol.2020, No.1. tr_TR
dc.identifier.issn 16871839
dc.identifier.uri http://hdl.handle.net/20.500.12416/7321
dc.description.abstract In this article, a hybrid technique of Elzaki transformation and decomposition method is used to solve the Navier–Stokes equations with a Caputo fractional derivative. The numerical simulations and examples are presented to show the validity of the suggested method. The solutions are determined for the problems of both fractional and integer orders by a simple and straightforward procedure. The obtained results are shown and explained through graphs and tables. It is observed that the derived results are very close to the actual solutions of the problems. The fractional solutions are of special interest and have a strong relation with the solution at the integer order of the problems. The numerical examples in this paper are nonlinear and thus handle its solutions in a sophisticated manner. It is believed that this work will make it easy to study the nonlinear dynamics, arising in different areas of research and innovation. Therefore, the current method can be extended for the solution of other higher-order nonlinear problems. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-020-03058-1 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Adomian Decomposition M tr_TR
dc.subject Caputo operator tr_TR
dc.subject Elzaki Transformation tr_TR
dc.subject Navier–Stokes Equations tr_TR
dc.title An approximate analytical solution of the Navier–Stokes equations within Caputo operator and Elzaki transform decomposition method tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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