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Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves

dc.contributor.authorKumar, Sunil
dc.contributor.authorKumar, Amit
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2017-04-24T11:49:28Z
dc.date.available2017-04-24T11:49:28Z
dc.date.issued2016
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractIn this paper, an analytical method based on the generalized Taylors series formula together with residual error function, namely residual power series method (RPSM), is proposed for finding the numerical solution of the coupled system of time-fractional nonlinear Boussinesq-Burger's equations. The Boussinesq-Burger's equations arise in studying the fluid flow in a dynamic system and describe the propagation of the shallow water waves. Subsequently, the approximate solutions of time-fractional nonlinear coupled Boussinesq-Burger's equations obtained by RPSM are compared with the exact solutions as well as the solutions obtained by modified homotopy analysis transform method. Then, we provide a rigorous convergence analysis and error estimate of RPSM. Numerical simulations of the results are depicted through different graphical representations and tables showing that present scheme is reliable and powerful in finding the numerical solutions of coupled system of fractional nonlinear differential equations like Boussinesq-Burger's equationsen_US
dc.description.publishedMonth7
dc.identifier.citationKumar, S., Kumar, A., Baleanu, D. (2016). Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves. Nonlinear Dynamics, 85(2), 699-715. http://dx.doi.org/10.1007/s11071-016-2716-2en_US
dc.identifier.doi10.1007/s11071-016-2716-2
dc.identifier.endpage715en_US
dc.identifier.issn0924-090X
dc.identifier.issue2en_US
dc.identifier.startpage699en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/1578
dc.identifier.volume85en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofNonlinear Dynamicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Boussinesq-Burger's Equationen_US
dc.subjectResidual Power Seriesen_US
dc.subjectHomotopy Analysis Transform Methoden_US
dc.subjectHomotopy Polynomialsen_US
dc.subjectOptimal Valueen_US
dc.titleTwo analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water wavestr_TR
dc.titleTwo Analytical Methods for Time-Fractional Nonlinear Coupled Boussinesq-burger's Equations Arise in Propagation of Shallow Water Wavesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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