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

dc.contributor.authorBhrawy, A. H.
dc.contributor.authorDoha, E. H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorHafez, R. M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-06-02T07:01:47Z
dc.date.available2020-06-02T07:01:47Z
dc.date.issued2015
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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.en_US
dc.description.publishedMonth9
dc.identifier.citationBhrawy, 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.en_US
dc.identifier.doi10.1002/mma.3277
dc.identifier.issn0170-4214
dc.identifier.issue14en_US
dc.identifier.startpage3022en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4004
dc.identifier.volume38en_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSystem Of Differential-Difference Equationsen_US
dc.subjectCollocation Methoden_US
dc.subjectJacobi-Gauss Quadratureen_US
dc.subjectShifted Jacobi Polynomialsen_US
dc.titleA highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditionstr_TR
dc.titleA Highly Accurate Jacobi Collocation Algorithm for Systems of High-Order Linear Differential-Difference Equations With Mixed Initial Conditionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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