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A highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditions

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dc.contributor.author Bhrawy, A. H.
dc.contributor.author Doha, E. H.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Hafez, R. M.
dc.date.accessioned 2020-06-02T07:01:47Z
dc.date.available 2020-06-02T07:01:47Z
dc.date.issued 2015-09-30
dc.identifier.citation Bhrawy, AH...et.al. (2015). "A highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditions" Mathematical Methods In The Applied Sciences, Vol.38, No.14, pp.3022-3032. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/4004
dc.description.abstract In this paper, a shifted Jacobi-Gauss collocation spectral algorithm is developed for solving numerically systems of high-order linear retarded and advanced differential-difference equations with variable coefficients subject to mixed initial conditions. The spatial collocation approximation is based upon the use of shifted Jacobi-Gauss interpolation nodes as collocation nodes. The system of differential-difference equations is reduced to a system of algebraic equations in the unknown expansion coefficients of the sought-for spectral approximations. The convergence is discussed graphically. The proposed method has an exponential convergence rate. The validity and effectiveness of the method are demonstrated by solving several 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Wiley tr_TR
dc.relation.isversionof 10.1002/mma.3277 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject System Of Differential-Difference Equations tr_TR
dc.subject Collocation Method tr_TR
dc.subject Jacobi-Gauss Quadrature tr_TR
dc.subject Shifted Jacobi Polynomials tr_TR
dc.title A highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditions tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods In The Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 38 tr_TR
dc.identifier.issue 14 tr_TR
dc.identifier.startpage 3022 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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