Solution of time-fractional generalized Hirota-Satsuma coupled KdV equation by generalised differential transformation method

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dc.contributor.authorMerdan, Mehmet
dc.contributor.authorGokdogan, Ahmet
dc.contributor.authorYildirim, Ahmet
dc.contributor.authorMohyud-Din, Syed Tauseef
dc.date.accessioned2019-10-27T21:54:37Z
dc.date.available2019-10-27T21:54:37Z
dc.date.issued2013
dc.departmentEge Üniversitesien_US
dc.description.abstractPurpose - In this article, the aim is to obtain an approximate analytical solution of time-fraction generalized Hirota-Satsuma coupled KDV with the help of the two dimensional differential transformation method (DTM). Exact solutions can also be obtained from the known forms of the series solutions. Design/methodology/approach - Two dimensional differential transformation method (DTM) is used. Findings - In this paper, the fractional differential transformation method is implemented to the solution of time-fraction generalized generalized Hirota-Satsuma coupled KDV with a number of initial and boundary values has been proved. DTM can be applied to many complicated linear and strongly nonlinear partial differential equations and does not require linearization, discretization, restrictive assumptions or perturbation. The presented method is a numerical method based on the generalised Taylor series expansion which constructs an analytical solution in the form of a polynomial. Originality/value - This is an original work in which the results indicate that the method is powerful and significant for solving time-fraction generalized generalized Hirota-Satsuma coupled KDV type differential equations.en_US
dc.identifier.doi10.1108/HFF-09-2011-0188
dc.identifier.endpage940en_US
dc.identifier.issn0961-5539
dc.identifier.issn1758-6585
dc.identifier.issn0961-5539en_US
dc.identifier.issn1758-6585en_US
dc.identifier.issue5en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage927en_US
dc.identifier.urihttps://doi.org/10.1108/HFF-09-2011-0188
dc.identifier.urihttps://hdl.handle.net/11454/48108
dc.identifier.volume23en_US
dc.identifier.wosWOS:000319954700010en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherEmerald Group Publishing Ltden_US
dc.relation.ispartofInternational Journal of Numerical Methods For Heat & Fluid Flowen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTwo dimensional differential transformation methoden_US
dc.subjectTime-fraction generalized generalized Hirota-Satsuma coupled KDVen_US
dc.subjectCaputo derivativeen_US
dc.titleSolution of time-fractional generalized Hirota-Satsuma coupled KdV equation by generalised differential transformation methoden_US
dc.typeArticleen_US

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