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Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line

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dc.contributor.author Hashemi, M. S.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2017-04-19T08:24:33Z
dc.date.available 2017-04-19T08:24:33Z
dc.date.issued 2016-07-01
dc.identifier.citation Hashemi, M.S., Baleanu, D. (2016). Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line. Journal of Computational Pyhsics, 316, 10-20. http://dx.doi.org/10.1016/j.jcp.2016.04.009 tr_TR
dc.identifier.issn 0021-9991
dc.identifier.uri http://hdl.handle.net/20.500.12416/1537
dc.description.abstract We propose a simple and accurate numerical scheme for solving the time fractional telegraph (TFT) equation within Caputo type fractional derivative. A fictitious coordinate v is imposed onto the problem in order to transform the dependent variable u(x, t) into a new variable with an extra dimension. In the new space with the added fictitious dimension, a combination of method of line and group preserving scheme (GPS) is proposed to find the approximate solutions. This method preserves the geometric structure of the problem. Power and accuracy of this method has been illustrated through some examples of TFT equation. tr_TR
dc.language.iso eng tr_TR
dc.publisher Academic Press INC Elsevier Science tr_TR
dc.relation.isversionof 10.1016/j.jcp.2016.04.009 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Time-Fractional Telegraph Equation tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Fictitious Time Integration Method tr_TR
dc.subject Group Preserving Scheme tr_TR
dc.subject Method Of Line tr_TR
dc.title Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Computational Pyhsics tr_TR
dc.identifier.volume 316 tr_TR
dc.identifier.startpage 10 tr_TR
dc.identifier.endpage 20 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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