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A pseudo-operational collocation method for variable-order time-space fractional KdV-Burgers-Kuramoto equation

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dc.contributor.author Sadri, Khadijeh
dc.contributor.author Hosseini, Kamyar
dc.contributor.author Hincal, Evren
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Salahshour, Soheil
dc.date.accessioned 2023-11-23T08:06:18Z
dc.date.available 2023-11-23T08:06:18Z
dc.date.issued 2023-05-30
dc.identifier.citation Sadri, Khadijeh...et.al. (2023). "A pseudo-operational collocation method for variable-order time-space fractional KdV-Burgers-Kuramoto equation", Mathematical Methods In The Applied Sciences, Vol.46, No.8, pp.8759-8778. tr_TR
dc.identifier.issn ISSN 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/6586
dc.description.abstract The idea of this work is to provide a pseudo-operational collocation scheme to deal with the solution of the variable-order time-space fractional KdV-Burgers-Kuramoto equation (VOSTFKBKE). Such the fractional partial differential equation (FPDE) has three characteristics of dissipation, dispersion, and instability, which make this equation is used to model many phenomena in diverse fields of physics. Numerical solutions are sought in a linear combination of two-dimensional Jacobi polynomials as basis functions. In order to approximate unknown functions in terms of the basis vector, pseudo-operational matrices are constructed to avoid integration. An error bound of the residual function is estimated in a Jacobi-weighted space in the L2$$ {L}<^>2 $$ norms. Numerical results are compared with exact ones and those reported by other researchers to demonstrate the effectiveness of the recommended method. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1002/mma.9015 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Bivariate Jacobi Polynomials tr_TR
dc.subject Error Bound tr_TR
dc.subject Fractional Kdv–Burgers–Kuramoto Equation tr_TR
dc.subject Fractionaloperators With Variable Orders tr_TR
dc.subject Pseudo-Operational Matrix tr_TR
dc.title A pseudo-operational collocation method for variable-order time-space fractional KdV-Burgers-Kuramoto equation tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods In The Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 46 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 8759 tr_TR
dc.identifier.endpage 8778 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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