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Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model

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dc.creator YAKIT ONGUN, Mevlüde
dc.creator ARSLAN, Damla
dc.creator FARZİ, Javad
dc.date 2017-04-15T00:00:00Z
dc.date.accessioned 2019-07-09T12:00:35Z
dc.date.available 2019-07-09T12:00:35Z
dc.identifier http://dergipark.org.tr/sdufenbed/issue/30898/334426
dc.identifier 10.19113/sdufbed.24679
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/46821
dc.description The main concerns of this paper is the study and the development of numerical methods for solving fractional order autocatalytic chemical reaction model problem. This is a nonlinear fractional order differential equation of fractional order , where . Three different (explicit and implicit) schemes based on multistep methods, nonstandard finite difference method and the product integration (PI) method are developed. The PI scheme enjoys the integral equation formulation of the model problem. The accuracy, efficiency and comparison of the developed methods are demonstrated in numerical results.
dc.format application/pdf
dc.publisher Süleyman Demirel University
dc.publisher Süleyman Demirel Üniversitesi
dc.relation http://dergipark.org.tr/download/article-file/334671
dc.source Volume: 21, Issue: 1 165-172 en-US
dc.source 1308-6529
dc.subject Fractional differential equations,Explicit and implicit methods; Product integrations methods; Nonstandard schemes; Brusselator model
dc.title Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model en-US
dc.type info:eu-repo/semantics/article


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