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Efficient sustainable algorithm for numerical solutions of systems of fractional order differential equations by Haar wavelet collocation method

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dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Amin, Rohul
dc.contributor.author Shah, Kamal
dc.contributor.author Al-Mdallal, Qasem
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2022-04-08T11:58:25Z
dc.date.available 2022-04-08T11:58:25Z
dc.date.issued 2020-08
dc.identifier.citation Abdeljawad, Thabet...et al. (2020). "Efficient sustainable algorithm for numerical solutions of systems of fractional order differential equations by Haar wavelet collocation method", Alexandria Engineering Journal, Vol. 59, No. 4, pp. 2391-2400. tr_TR
dc.identifier.issn 2090-2670
dc.identifier.uri http://hdl.handle.net/20.500.12416/5342
dc.description.abstract This manuscript deals a numerical technique based on Haar wavelet collocation which is developed for the approximate solution of some systems of linear and nonlinear fractional order differential equations (FODEs). Based on these techniques, we find the numerical solution to var-ious systems of FODEs. We compare the obtain solution with the exact solution of the considered problems at integer orders. Also, we compute the maximum absolute error to demonstrate the effi-ciency and accuracy of the proposed method. For the illustration of our results we provide four test examples. The experimental rates of convergence for different number of collocation point is calculated which is approximately equal to 2. Fractional derivative is defined in the Caputo sense. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/). tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2020.02.035 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Haar Wavelet tr_TR
dc.subject Collocation Method tr_TR
dc.subject Approximate Solution tr_TR
dc.subject Fractional Differential Equations tr_TR
dc.title Efficient sustainable algorithm for numerical solutions of systems of fractional order differential equations by Haar wavelet collocation method tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 59 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 2391 tr_TR
dc.identifier.endpage 2400 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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