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NUMERICAL INVESTIGATION OF SPACE FRACTIONAL ORDER DIFFUSION EQUATION BY THE CHEBYSHEV COLLOCATION METHOD OF THE FOURTH KIND AND COMPACT FINITE DIFFERENCE SCHEME

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dc.contributor.author Aghdam, Yones Esmaeelzade
dc.contributor.author Safdari, Hamid
dc.contributor.author Azari, Yaqub
dc.contributor.author Jafari, Hossein
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-08-23T08:01:47Z
dc.date.available 2022-08-23T08:01:47Z
dc.date.issued 2021-07-01
dc.identifier.citation Aghdam, Yones Esmaeelzade...et al. (2021). "NUMERICAL INVESTIGATION OF SPACE FRACTIONAL ORDER DIFFUSION EQUATION BY THE CHEBYSHEV COLLOCATION METHOD OF THE FOURTH KIND AND COMPACT FINITE DIFFERENCE SCHEME". DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S. Vol: 14, No: 7, pp 2025-2039. tr_TR
dc.identifier.issn 1937-1632
dc.identifier.uri http://hdl.handle.net/20.500.12416/5747
dc.description.abstract This paper develops a numerical scheme for finding the approximate solution of space fractional order of the diffusion equation (SFODE). Firstly, the compact finite difference (CFD) with convergence order O(delta tau 2) is used for discretizing time derivative. Afterwards, the spatial fractional derivative is approximated by the Chebyshev collocation method of the fourth kind. Furthermore, time-discrete stability and convergence analysis are presented. Finally, two examples are numerically investigated by the proposed method. The examples illustrate the performance and accuracy of our method compared to existing methods presented in the literature. 1. Introduction. One of the issues which have garnered researchers' attention these days is the fractional differential equations (FDEs) and have been numerically investigated by a huge number of authors [2, 3, 8, 9, 16, 21, 23, 25, 28, 29]. Fractional calculus is involved in many applications of science and engineering such as economics, physics, optimal control, and other applications, see [10, 11, 13, 19, 22, 26, 33, 34, 35]. A case in point is the diffusion and reaction-diffusion models in tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/dcdss.2020402 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Space fractional order diffusion equation; compact finite difference; Chebyshev collocation method of the fourth kind; convergence; stability tr_TR
dc.title NUMERICAL INVESTIGATION OF SPACE FRACTIONAL ORDER DIFFUSION EQUATION BY THE CHEBYSHEV COLLOCATION METHOD OF THE FOURTH KIND AND COMPACT FINITE DIFFERENCE SCHEME tr_TR
dc.type article tr_TR
dc.relation.journal DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 14 tr_TR
dc.identifier.issue 7 tr_TR
dc.identifier.startpage 2025 tr_TR
dc.identifier.endpage 2039 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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