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Numerical computation of a fractional model of differential-difference equation

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dc.contributor.author Kumar, Devendra
dc.contributor.author Singh, J.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2018-09-26T13:00:18Z
dc.date.available 2018-09-26T13:00:18Z
dc.date.issued 2013-11
dc.identifier.citation Kumar, D., Singh, J., Baleanu, D. (2016). Numerical computation of a fractional model of differential-difference equation. Journal of Computational and Nonlinear Dynamics, 11(6). http://dx.doi.org/ 10.1115/1.4033899 tr_TR
dc.identifier.issn 1555-1423
dc.identifier.uri http://hdl.handle.net/20.500.12416/1798
dc.description.abstract In the present article, we apply a numerical scheme, namely, homotopy analysis Sumudu transform algorithm, to derive the analytical and numerical solutions of a nonlinear fractional differential-difference problem occurring in nanohydrodynamics, heat conduction in nanoscale, and electronic current that flows through carbon nanotubes. The homotopy analysis Sumudu transform method (HASTM) is an inventive coupling of Sumudu transform algorithm and homotopy analysis technique that makes the calculation very easy. The fractional model is also handled with the aid of Adomian decomposition method (ADM). The numerical results derived with the help of HASTM and ADM are approximately same, so this scheme may be considered an alternative and well-organized technique for attaining analytical and numerical solutions of fractional model of discontinued problems. The analytical and numerical results derived by the application of the proposed technique reveal that the scheme is very effective, accurate, flexible, easy to apply, and computationally very appropriate for such type of fractional problems arising in physics, chemistry, biology, engineering, finance, etc. tr_TR
dc.language.iso eng tr_TR
dc.publisher Asme tr_TR
dc.relation.isversionof 10.1115/1.4033899 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Heat Transfer tr_TR
dc.subject Nanofluid Flow tr_TR
dc.subject Thermal-Radiation tr_TR
dc.subject Sumudu Transform tr_TR
dc.subject Parallel Plates tr_TR
dc.subject Fluid-Flow tr_TR
dc.subject Nanofibers tr_TR
dc.subject Channel tr_TR
dc.subject Lattice tr_TR
dc.subject Motion tr_TR
dc.title Numerical computation of a fractional model of differential-difference equation tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Computational and Nonlinear Dynamics tr_TR
dc.identifier.volume 11 tr_TR
dc.identifier.issue 6 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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