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On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger's equations using homotopy analysis transform method

dc.contributor.authorSaad, K. M.
dc.contributor.authorAL-Shareef, Eman H. F.
dc.contributor.authorAlomari, A. K.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorGomez-Aguilar, J. F.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-02-03T12:14:10Z
dc.date.available2021-02-03T12:14:10Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper we consider the homotopy analysis transform method (HATM) to solve the time fractional order Korteweg-de Vries (KdV) and Korteweg-de Vries-Burger's (KdVB) equations. The HATM is a combination of the Laplace decomposition method (LDM) and the homotopy analysis method (HAM). The fractional derivatives are defined in the Caputo sense. This method gives the solution in the form of a rapidly convergent series with h-curves are used to determine the intervals of convergent. Averaged residual errors are used to find the optimal values of h. It is found that the optimal h accelerates the convergence of the HATM, with the rate of convergence depending on the parameters in the KdV and KdVB equations. The HATM solutions are compared with exact solutions and excellent agreement is found.en_US
dc.description.publishedMonth2
dc.identifier.citationSaad, K. M...et al. (2020). "On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger's equations using homotopy analysis transform method", Chinese Journal of Physics, Vol. 63, pp. 149-162.en_US
dc.identifier.doi10.1016/j.cjph.2019.11.004
dc.identifier.endpage162en_US
dc.identifier.issn0577-9073
dc.identifier.startpage149en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4541
dc.identifier.volume63en_US
dc.language.isoenen_US
dc.relation.ispartofChinese Journal of Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Calculusen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectHomotopy Analysis Transform Methoden_US
dc.subjectKorteweg-De Vries Equationen_US
dc.subjectKorteweg-De Vries-Burger's Equationen_US
dc.titleOn exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger's equations using homotopy analysis transform methodtr_TR
dc.titleOn Exact Solutions for Time-Fractional Korteweg-De Vries and Korteweg-De Vries-burger's Equations Using Homotopy Analysis Transform Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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