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Numerical simulation for time-fractional nonlinear reaction-diffusion system on a uniform and nonuniform time stepping

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dc.contributor.author Zahra, Waheed K.
dc.contributor.author Hikal, Manal M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-08-23T08:02:07Z
dc.date.available 2022-08-23T08:02:07Z
dc.date.issued 2021-05-15
dc.identifier.citation Zahra, Waheed K.; Hikal, Manal M.; Baleanu, Dumitru (2021). "Numerical simulation for time-fractional nonlinear reaction-diffusion system on a uniform and nonuniform time stepping", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Vol. 44, No. 7, pp. 5340-5364. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/5751
dc.description.abstract In this article, two nonstandard high-order schemes on a uniform and nonuniform time stepping combined with the multi-parameter exponential fitting technique (MPEF) have been developed to solve the time-fractional nonlinear reaction-diffusion system. The first method based on the MPEF combined with the 3-weighted shifted-Grunwald-Letnikov approximation with uniform time stepping, this scheme leads to a numerical solution that suffers from the singularity near t = 0. In order to frustrate this singularity, a nonstandard higher-order L1-approximation for a nonuniform time-stepping scheme is developed. The developed scheme's convergence and unconditionally stability analysis have been verified. Numerical results effectively validate the theoretical aspects. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1002/mma.7114 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo fractional derivative; convergence analysis; exponential fitting; nonuniform time stepping; stability tr_TR
dc.title Numerical simulation for time-fractional nonlinear reaction-diffusion system on a uniform and nonuniform time stepping 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 44 tr_TR
dc.identifier.issue 7 tr_TR
dc.identifier.startpage 5340 tr_TR
dc.identifier.endpage 5364 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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