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Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation

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dc.contributor.author Zahra, W.K.
dc.contributor.author Nasr, M.A.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-02-09T08:26:01Z
dc.date.available 2023-02-09T08:26:01Z
dc.date.issued 2020-12
dc.identifier.citation Zahra, W.K.; Nasr, M.A.; Baleanu, Dumitru (2020). "Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation", Alexandria Engineering Journal, Vol. 59, No. 6, pp. 4491-4510. tr_TR
dc.identifier.issn 1110-0168
dc.identifier.uri http://hdl.handle.net/20.500.12416/6171
dc.description.abstract In this paper, a new scheme based on the exponential fitting technique is presented for solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second-order derivatives are replaced by Caputo fractional derivative. The exponential fitting technique depends on a parameter that led to getting high-order accuracy. The convergence and unconditional stability will be discussed using the Fourier method and the analysis is built on uniform and nonuniform time steps, to solve initial singularity by using the graded meshes. Applicability and theoretical results will be demonstrated and enhanced with numerical examples. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2020.08.002 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo Fractional Derivative tr_TR
dc.subject Exponential Fitting tr_TR
dc.subject Nonuniform Time-Stepping tr_TR
dc.subject Stability/Convergence Analysis tr_TR
dc.subject Swift-Hohenberg Equation tr_TR
dc.title Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 59 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 4491 tr_TR
dc.identifier.endpage 4510 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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