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A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations

dc.contributor.authorBhrawy, A. H.
dc.contributor.authorDoha, E. H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorEzz-Eldien, S. S.
dc.date.accessioned2017-03-17T11:08:58Z
dc.date.available2017-03-17T11:08:58Z
dc.date.issued2015
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractIn this paper, an efficient and accurate spectral numerical method is presented for solving second-, fourth-order fractional diffusion-wave equations and fractional wave equations with damping. The proposed method is based on Jacobi tau spectral procedure together with the Jacobi operational matrix for fractional integrals, described in the Riemann-Liouville sense. The main characteristic behind this approach is to reduce such problems to those of solving systems of algebraic equations in the unknown expansion coefficients of the sought-for spectral approximations. The validity and effectiveness of the method are demonstrated by solving five numerical examples. Numerical examples are presented in the form of tables and graphs to make comparisons with the results obtained by other methods and with the exact solutions more easier.en_US
dc.description.publishedMonth7
dc.identifier.citationBhrawy, A.H...et al. (2015). A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. Journal Of The Computational Physics, 293, 142-156. http://dx.doi.org/10.1016/j.jcp.2014.03.039en_US
dc.identifier.doi10.1016/j.jcp.2014.03.039
dc.identifier.endpage156en_US
dc.identifier.issn0021-9991
dc.identifier.startpage142en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/1503
dc.identifier.volume293en_US
dc.language.isoenen_US
dc.publisherAcademic Press INC Elsevier Scienceen_US
dc.relation.ispartofJournal Of The Computational Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Diffusion-Wave Equationsen_US
dc.subjectTau Methoden_US
dc.subjectShifted Jacobi Polynomialsen_US
dc.subjectOperational Matrixen_US
dc.subjectCaputo Derivativeen_US
dc.titleA spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equationstr_TR
dc.titleA Spectral Tau Algorithm Based on Jacobi Operational Matrix for Numerical Solution of Time Fractional Diffusion-Wave Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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